Workflow
#Seriation and biclustering
library(seriation) #For seriate a matrix
library(biclust) #General biclustering functions
library(iBBiG) #iBBiG biclustering
library(BicARE) #BicARE biclustering
library(BcDiag) #Diagnostics of biclusters
#Additional statistic packages
library(factoextra) #Additional distance functions
library(corrgram) #Correlation diagram
library(VennDiagram) #VennDiagram
library(venneuler) #VennDiagram
#For formatted and interactive tables and figures
library(knitr) #Formatted tables, figures
#Read Excel file
library(readxl) #Read Excel file
Citations
## Hahsler M, Buchta C, Hornik K (2019). _seriation: Infrastructure for
## Ordering Objects Using Seriation_. R package version 1.2-8, <URL:
## https://CRAN.R-project.org/package=seriation>.
##
## Hahsler M, Hornik K, Buchta C (2008). "Getting things in order: An
## introduction to the R package seriation." _Journal of Statistical
## Software_, *25*(3), 1-34. ISSN 1548-7660, <URL:
## http://www.jstatsoft.org/v25/i03/>.
## Kaiser S, Santamaria R, Khamiakova T, Sill M, Theron R, Quintales L,
## Leisch F, De Troyer. E (2020). _biclust: BiCluster Algorithms_. R
## package version 2.0.2, <URL:
## https://CRAN.R-project.org/package=biclust>.
## Gusenleitner D, Culhane A (2020). _iBBiG: Iterative Binary Biclustering
## of Genesets_. R package version 1.32.0, <URL:
## http://bcb.dfci.harvard.edu/~aedin/publications/>.
## Gestraud P (2020). _BicARE: Biclustering Analysis and Results
## Exploration_. R package version 1.46.0, <URL: http://bioinfo.curie.fr>.
## Mengsteab A, Otava M, Khamiakova T, De Troyer E (2015). _BcDiag:
## Diagnostics Plots for Bicluster Data_. R package version 1.0.10, <URL:
## https://CRAN.R-project.org/package=BcDiag>.
#Additional statistic packages
print(citation("factoextra"),style="text") #Additional distance functions
## Kassambara A, Mundt F (2020). _factoextra: Extract and Visualize the
## Results of Multivariate Data Analyses_. R package version 1.0.7, <URL:
## https://CRAN.R-project.org/package=factoextra>.
## Chen H (2018). _VennDiagram: Generate High-Resolution Venn and Euler
## Plots_. R package version 1.6.20, <URL:
## https://CRAN.R-project.org/package=VennDiagram>.
## Wilkinson L (2011). _venneuler: Venn and Euler Diagrams_. R package
## version 1.1-0, <URL: https://CRAN.R-project.org/package=venneuler>.
#For formatted and interactive tables and figures
print(citation("knitr"),style="text") #Formatted tables, figures
## Xie Y (2020). _knitr: A General-Purpose Package for Dynamic Report
## Generation in R_. R package version 1.29, <URL:
## https://yihui.org/knitr/>.
##
## Xie Y (2015). _Dynamic Documents with R and knitr_, 2nd edition.
## Chapman and Hall/CRC, Boca Raton, Florida. ISBN 978-1498716963, <URL:
## https://yihui.org/knitr/>.
##
## Xie Y (2014). "knitr: A Comprehensive Tool for Reproducible Research in
## R." In Stodden V, Leisch F, Peng RD (eds.), _Implementing Reproducible
## Computational Research_. Chapman and Hall/CRC. ISBN 978-1466561595,
## <URL: http://www.crcpress.com/product/isbn/9781466561595>.
## Wickham H, Bryan J (2019). _readxl: Read Excel Files_. R package
## version 1.3.1, <URL: https://CRAN.R-project.org/package=readxl>.
data<-read_excel("RUR2020.xlsx")
RUR<-data[,2:21]
rownames(RUR)<-as.matrix(data[,1])
weights=c(0.08,0.08,0.08,0.08,0.08,0.08,0.08,0.08,0.08,0.08,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02)
rownames(RUR)<-as.matrix(data[,1])
orig_mtx<-as.matrix(RUR)
for (i in 1:ncol(RUR)){ #Normalize (min-max)
RUR[,i]<-normalize(RUR[,i])
}
rownames(RUR)<-as.matrix(data[,1])
mtx<-as.matrix(RUR)
weights<-matrix(weights,1,20)
colnames(weights)<-colnames(RUR)
BR<-rowSums(RUR*weights)/max(rowSums(RUR*weights))
RANK_RUR<-as.matrix(rank(-BR))
rownames(RANK_RUR)<-rownames(RUR)
Firstly, to obtain a preliminary picture of the possible biclusters, the seriation of the original data is done.
ORIG_SER <- c(seriate(get_dist(orig_mtx,"euclidean"),method="HC_COMPLETE"),seriate(get_dist(t(orig_mtx),"spearman"),method="HC_COMPLETE"))
ORIG_ORDERED<-orig_mtx[get_order(ORIG_SER,dim=1),get_order(ORIG_SER,dim=2)]
rownames(ORIG_ORDERED) <- rownames(mtx[get_order(ORIG_SER,dim=1),get_order(ORIG_SER,dim=2)])
After seriation, plotting the heat map of the original data (see Fig. 1) can help to detect the possible biclusters. On Fig. 1 blue cells indicate a lower value of the indicators, and red cells mean a higher value of the indicators.
Fig. 1 Heat map of the original matrix after seriation
After the normalization of the original data, seriation is done on the normalized data.
After seriation, plotting the heat map of the normalized original data (see Fig. 2) can help to detect the possible biclusters.
Fig. 2 Heat map of the normalized and seriated matrix
After seriation, two bigger homogeneous blocks can be identified based on Fig. 2. The block of the red cells on the top left corner on Fig. 2 indicates the top league, while the bigger blue block, which indicates the remaining (lower) league, can be discovered in the bottom of the figure. The dendrogram of two-way clustering also shows that regarding rows and columns two main blocks can be specified.
Applying the iBBiG method on the original normalized data can specify the top league biclusters. First of all, the number of biclusters needed to be determined. Since Fig. 2 indicates that there are two biclusters, the algorithm is set to search for two biclusters.
Results should satisfy three criteria.
res <- iBBiG(binaryMatrix=binarize(mtx,threshold = 0.50),nModules = 2,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
## Module: 2 ... done
##
## An object of class iBBiG
##
## Number of Clusters found: 2
##
## First 2 Cluster scores and sizes:
## M 1 M 2
## Cluster Score 3800.414 682
## Number of Rows: 398.000 341
## Number of Columns: 17.000 2
The results above show that the iBBiG algorithm found 2 biclusters. In the first bicluster there are 398 rows (HEIs) and 17 columns (indicators), in the second bicluster there are 341 rows (HEIs) and only 2 columns (indicators). The next step is to calculate F-tests to determine which bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:res@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=res,number=i)
}
kable(Obs.FStat,caption = "**Table 1** The results of row and column effects for two biclusters")
|
|
In Table 1 the results of the F-tests can be seen. In the case of the first bicluster, both the row and column effect are significant. On the other hand, in the case of the second bicluster the column effect is not significant; thus the second bicluster is not significant. Only the first one which is the top league (League A).
The next step is to identify the top league bicluster.
res <- iBBiG(binaryMatrix=binarize(mtx,threshold = 0.50),nModules = 1,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 3800.414 and
## 398 Rows and 17 columns
The results of the iBBiG algorithm can be seen above. The algorithm found one bicluster in which there are 398 rows (HEIs) and 17 columns (indicators). The following step is to calculate the F-tests to determine whether the bicluster is significant or not.
Table 2 contains the results of the row and column effects (F-tests). Both the row and column effects are significant, so the top league bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:res@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=res,number=i)
}
kable(Obs.FStat,caption = "**Table 2** The results of row and column effects for the top league")
|
To see the differences between those HEIs that are included in the top league and those that are not, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 3). (The horizontal axis of Fig. 3 shows the HEIs, the vertical axis shows the mentioned parameters on normalized (0-1) data of indicators.) On Fig. 3 the red line indicates those HEIs that are included in the top league, while the black line shows the remaining ones. The HEIs in the top league have higher means and medians, and have lower variances.
Fig. 3 Mean, median, variance and MAD for the top league HEIs
One can do the same for the columns (indicators). Fig. 4 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. (The horizontal axis of Fig. 4 shows the indicators, the vertical axis shows the mentioned parameters on normalized (0-1) data of HEIs.) The red line indicates those indicators that are in the top league, while the black line shows the remaining indicators.
Fig. 4 Mean, median, variance and MAD for the top league indicators
Fig. 5 depicts the heat map of the top league. The top league contains 398 HEIs and 17 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 5 Heat map of the top league
Fig. 6 shows the heat map of the results of iBBiG on normalized data. The top league can be seen in the upper left corner of Fig. 6 which is enlarged on Fig.5.
Fig. 6 Heat map of the output after applying iBBiG on normalized data
The next step is to check the stability of the top league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=res,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 0.8567413 0.8015801
## [2,] 1.0333993 1.2065612
## [3,] 1.0907091 0.8251378
## [4,] 0.9378042 0.6282656
## [5,] 0.9344028 0.6168177
## [6,] 1.0198377 1.1099949
## [7,] 1.0282310 1.8912026
## [8,] 0.9020868 0.9650731
## [9,] 1.0132411 0.6927305
## [10,] 0.9836213 0.9833376
## [11,] 1.0978562 0.8378473
## [12,] 1.0018528 0.7637394
## [13,] 0.9950505 0.6851625
## [14,] 0.8586476 1.2698852
## [15,] 0.9609317 0.7814653
## [16,] 1.0836800 0.7644586
## [17,] 0.9941068 0.8720624
## [18,] 1.0796817 1.4934862
## [19,] 0.9948879 0.6400309
## [20,] 1.0366808 1.0271849
## [21,] 0.9271867 0.9490565
## [22,] 0.9388592 0.6554214
## [23,] 1.0152078 1.0001148
## [24,] 1.0574091 0.8191604
## [25,] 0.9831607 1.3971517
## [26,] 1.0828712 0.8493565
## [27,] 0.9380831 1.0670718
## [28,] 0.9553970 1.3550519
## [29,] 1.0316912 0.7158740
## [30,] 1.0847669 1.5648162
## [31,] 0.9849539 1.5584701
## [32,] 1.0002999 2.0038843
## [33,] 0.8291127 0.7544299
## [34,] 1.1450477 1.8417058
## [35,] 0.8874329 0.8062261
## [36,] 1.0018814 0.9754306
## [37,] 1.1115475 0.6963376
## [38,] 0.9355497 1.0569967
## [39,] 1.0733362 1.1146352
## [40,] 0.9083783 0.9766254
## [41,] 1.1139115 0.8288935
## [42,] 0.8567582 1.1877672
## [43,] 0.9775843 0.5807187
## [44,] 0.9713328 0.7248465
## [45,] 0.8640019 0.6159062
## [46,] 0.9379093 0.6037256
## [47,] 1.0096264 0.4730906
## [48,] 0.8894358 1.1204576
## [49,] 0.9805928 0.6420976
## [50,] 0.8901526 0.7287168
## [51,] 0.9648614 1.8428160
## [52,] 1.0300576 1.4538765
## [53,] 0.9653455 1.2440006
## [54,] 0.9330579 1.3233216
## [55,] 1.1252599 0.4540160
## [56,] 1.0453811 0.9526425
## [57,] 1.0763233 0.6689776
## [58,] 1.1016849 1.4417445
## [59,] 0.9326832 1.0044247
## [60,] 0.9221618 1.0682969
## [61,] 1.0466892 0.9960076
## [62,] 0.9883497 1.2025508
## [63,] 0.9900812 1.3639671
## [64,] 0.9749196 1.0057894
## [65,] 0.9693387 1.6802966
## [66,] 0.9013353 1.3743798
## [67,] 1.1228828 1.2314506
## [68,] 1.0346074 0.4918790
## [69,] 1.0029188 1.0236935
## [70,] 0.9574911 0.6966757
## [71,] 0.9402446 0.4837700
## [72,] 1.1377979 0.6474217
## [73,] 0.7898119 0.8105623
## [74,] 0.9660480 0.6597814
## [75,] 0.8417114 1.0426298
## [76,] 0.9554751 1.0696729
## [77,] 0.9157553 1.0535780
## [78,] 0.9894749 1.0985186
## [79,] 0.9692788 0.4885682
## [80,] 1.0439931 0.8754855
## [81,] 0.9701386 0.9120197
## [82,] 0.9471128 0.8625284
## [83,] 1.0588824 0.9388912
## [84,] 0.9423393 0.9241453
## [85,] 0.9369801 1.0101233
## [86,] 0.9833776 0.7317260
## [87,] 1.1215319 0.4254307
## [88,] 0.9267913 1.3222263
## [89,] 0.9527213 0.6281157
## [90,] 0.9886211 1.0076872
## [91,] 1.0048222 0.9494206
## [92,] 1.1724809 0.6675181
## [93,] 1.0520626 1.2219618
## [94,] 0.9020677 1.3082034
## [95,] 1.0067603 0.2901890
## [96,] 0.9008385 1.1338204
## [97,] 1.1917828 0.4811526
## [98,] 1.0578120 1.4622498
## [99,] 1.0668260 0.4029044
## [100,] 0.8915667 1.3723343
##
## $observedFstatRow
## [1] 5.493095
##
## $observedFstatCol
## [1] 15.71995
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0
Since the bootstrapPvalueCol and the bootstrapPvalueRow are lower than 0.01, the bicluster is stable both for rows and columns.
The change of the threshold shows its impacts on leagues. The thresholds are in 0.75 (specifies Q1 leagues) 0.9 (specifies D1 leagues).
The next step is to identify the top Q1 league bicluster.
res <- iBBiG(binaryMatrix=binarize(mtx,threshold = 0.75),nModules = 1,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 931.9664 and
## 174 Rows and 11 columns
The results of the iBBiG algorithm can be seen above. The algorithm found one bicluster in which there are 174 rows (HEIs) and 11 columns (indicators). The following step is to calculate the F-tests to determine whether the bicluster is significant or not.
In Table 3 the results of the row and column effects (F-tests) can be read. Both the row and column effects are significant, so the top league bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:res@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=res,number=i)
}
kable(Obs.FStat,caption = "**Table 3** The results of row and column effects for the top (Q1) league")
|
To see the differences between the HEIs included in the top league and those that are not, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 7). (The horizontal axis of Fig. 7 shows the HEIs, the vertical axis shows the mentioned parameters on normalized (0-1) data of indicators.) On Fig. 7 the red line indicates the HEIs that are included in the top Q1 league, while the black line shows the remaining ones. The HEIs in the top league have higher means and medians, and have lower variances.
Fig. 7 Mean, median, variance and MAD for the top Q1 league HEIs
One can do the same for the indicators (columns). Fig. 8 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. (The horizontal axis of Fig. 8 shows the indicators, the vertical axis shows the mentioned parameters on normalized (0-1) data of HEIs.) The red line indicates those indicators that are in the top Q1 league, while the black line shows the remaining indicators.
Fig. 8 Mean, median, variance and MAD for the top Q1 league indicators
Fig. 9 depicts the heat map of the Q1 league. The top league contains 174 HEIs and 11 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 9 Heat map of the top Q1 league
Fig. 10 shows the heat map of the results of iBBiG on normalized data. The Q1 league can be seen in the upper left corner of Fig. 10 which is enlarged on Fig. 9.
Fig. 10 Heat map of the output after applying iBBiG on normalized data
The next step is to check the stability of the top league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=res,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 1.1579947 1.3456193
## [2,] 1.0839181 0.7184744
## [3,] 1.2381227 0.6086841
## [4,] 0.9803542 1.3071414
## [5,] 0.9389292 1.2572703
## [6,] 1.1821951 0.9892932
## [7,] 1.0248464 2.3819726
## [8,] 0.9160080 0.6281436
## [9,] 0.9681516 0.7046989
## [10,] 1.1007210 0.4976811
## [11,] 1.1544031 1.1759539
## [12,] 0.9805132 1.3800485
## [13,] 0.9574123 2.3888927
## [14,] 1.1374882 0.6689617
## [15,] 1.0054892 1.2632241
## [16,] 0.8912969 0.8807569
## [17,] 0.9635593 0.2203682
## [18,] 0.8280377 0.6253376
## [19,] 0.9787934 0.3759661
## [20,] 0.9372352 2.2521315
## [21,] 0.9530510 1.9238823
## [22,] 1.1018099 2.1402004
## [23,] 1.1172453 0.6416205
## [24,] 0.9597821 1.4179111
## [25,] 1.1323246 0.1836555
## [26,] 0.9036496 1.7713816
## [27,] 1.0220095 0.6650437
## [28,] 1.0713469 1.2831315
## [29,] 0.8741905 0.4651470
## [30,] 0.9542494 1.1773603
## [31,] 1.0167619 1.1664800
## [32,] 0.9526437 0.6461009
## [33,] 0.9835952 0.5292828
## [34,] 0.9803033 0.3683470
## [35,] 0.8941417 0.8333491
## [36,] 1.1433197 1.2337024
## [37,] 0.8711999 1.7343882
## [38,] 1.0125789 0.8048978
## [39,] 0.8900679 0.9444113
## [40,] 0.9531680 2.3702862
## [41,] 0.8655910 0.7605027
## [42,] 0.9642718 2.2690002
## [43,] 1.0152435 1.1450417
## [44,] 0.8293105 0.4900405
## [45,] 0.8567544 0.9336362
## [46,] 1.1018618 1.6042595
## [47,] 1.0092460 1.7636379
## [48,] 1.1722939 1.2542923
## [49,] 0.8571061 0.8870300
## [50,] 0.7965205 0.7330724
## [51,] 1.0614184 0.4606481
## [52,] 1.0224335 1.0919767
## [53,] 0.8834527 0.6829612
## [54,] 1.1359707 0.7608206
## [55,] 1.2760031 1.1154140
## [56,] 1.1653939 1.8986412
## [57,] 1.2100121 1.6820794
## [58,] 0.9659323 0.5683547
## [59,] 1.1498814 0.6947413
## [60,] 1.1792068 0.7025637
## [61,] 1.0194932 1.2549059
## [62,] 0.7152743 0.7150892
## [63,] 1.1037417 0.8639237
## [64,] 1.0023851 0.9148449
## [65,] 1.0904031 0.6999390
## [66,] 0.9930231 0.7376333
## [67,] 1.0031208 1.7302302
## [68,] 0.9181981 0.4511811
## [69,] 0.9440708 0.5869553
## [70,] 1.0339000 1.1539890
## [71,] 1.0176838 1.8374468
## [72,] 0.8465794 0.9524592
## [73,] 1.0301757 1.2233020
## [74,] 1.0915721 0.9752492
## [75,] 0.8575810 0.6671803
## [76,] 0.9869160 2.3745661
## [77,] 0.8897452 0.4004813
## [78,] 1.0738642 1.1019694
## [79,] 0.9002620 1.8977953
## [80,] 1.0316231 0.8592926
## [81,] 1.0474879 1.1780757
## [82,] 1.0135009 0.8896523
## [83,] 0.8705818 1.1855950
## [84,] 0.8345104 0.8232391
## [85,] 0.9859138 0.5287192
## [86,] 1.0144643 1.6693757
## [87,] 0.9198969 0.8329045
## [88,] 0.9499256 1.4476715
## [89,] 0.9356167 0.6588382
## [90,] 0.8552329 0.7454264
## [91,] 1.0462457 0.8481503
## [92,] 1.0182781 0.4262309
## [93,] 1.0545027 1.1877264
## [94,] 1.2465668 1.2988764
## [95,] 1.0165341 1.0002438
## [96,] 0.9478269 0.8556397
## [97,] 0.9773944 1.2298550
## [98,] 1.0194300 0.3485497
## [99,] 0.9982812 0.7350042
## [100,] 0.8901907 1.5827742
##
## $observedFstatRow
## [1] 2.750341
##
## $observedFstatCol
## [1] 7.566321
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0
Since the bootstrapPvalueCol and the bootstrapPvalueRow are lower than 0.01, the bicluster is stable.
The next step is to calculate partial rankings based on the indicators and HEIs in the top league. The calculation of each score of each indicator of the HEIs are done according to the method used in the original RUR ranking. The original weights of RUR indicators are used, and the total scores for the HEIs are calculated using the selected indicators in the given bicluster. Table 4 shows the result of partial ranking in the case of the top league.
C<-biclust::bicluster(mtx,res,number=1)
B<-as.data.frame(C[[1]])
selectedweight<-weights[,colnames(B)]
cols <- colnames(B)
sw<-weights[,cols]
BR<-rowSums(B[,cols]*sw)/max(rowSums(B[,cols]*sw))
B$Overall_Score<-BR
B$Rank<-rank(-B$Overall_Score)
kable(B,caption = "**Table 4** League A by iBBiG",digits = 2)
T3 | T4 | T5 | R1 | R3 | R4 | R5 | I4 | F1 | F2 | F4 | Overall_Score | Rank | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
USA_Rockefeller University | 0.52 | 0.00 | 0.75 | 0.96 | 1.00 | 0.68 | 0.80 | 0.83 | 0.99 | 1.00 | 0.98 | 0.86 | 74 |
USA_Vanderbilt University | 0.46 | 0.94 | 0.89 | 0.77 | 0.93 | 0.62 | 0.88 | 0.83 | 0.56 | 0.95 | 0.80 | 0.80 | 128 |
USA_Emory University | 0.61 | 0.95 | 0.90 | 0.80 | 0.92 | 0.66 | 0.89 | 0.87 | 0.95 | 0.98 | 0.80 | 0.86 | 75 |
Israel_Weizmann Institute of Science | 0.88 | 0.00 | 0.64 | 0.92 | 0.98 | 0.76 | 0.81 | 0.83 | 0.95 | 0.99 | 0.65 | 0.74 | 159 |
USA_Johns Hopkins University | 0.49 | 0.96 | 0.98 | 0.92 | 0.95 | 0.85 | 0.98 | 0.98 | 0.96 | 0.98 | 0.99 | 0.92 | 27 |
Switzerland_University of Zurich | 0.46 | 0.93 | 0.87 | 0.75 | 0.92 | 0.62 | 0.89 | 0.88 | 0.27 | 0.77 | 0.48 | 0.72 | 162 |
USA_University of Rochester | 0.48 | 0.82 | 0.76 | 0.79 | 0.89 | 0.66 | 0.79 | 0.82 | 0.97 | 0.98 | 0.82 | 0.80 | 126 |
USA_Yale University | 0.71 | 0.97 | 0.99 | 0.95 | 0.96 | 0.90 | 0.99 | 0.99 | 0.98 | 0.99 | 0.87 | 0.99 | 4 |
Japan_Tohoku University | 0.48 | 0.87 | 0.91 | 0.63 | 0.37 | 0.72 | 0.91 | 0.85 | 0.50 | 0.88 | 0.78 | 0.73 | 160 |
USA_University of Pittsburgh | 0.58 | 0.88 | 0.93 | 0.80 | 0.91 | 0.66 | 0.92 | 0.93 | 0.55 | 0.89 | 0.77 | 0.84 | 95 |
USA_Columbia University | 0.68 | 0.99 | 0.99 | 0.84 | 0.97 | 0.68 | 0.98 | 0.98 | 0.89 | 0.96 | 0.83 | 0.91 | 38 |
USA_University of Chicago | 0.71 | 0.96 | 0.98 | 0.99 | 0.99 | 0.93 | 0.99 | 0.99 | 0.96 | 0.98 | 0.83 | 0.95 | 15 |
USA_California Institute of Technology (Caltech) | 0.91 | 0.98 | 0.99 | 1.00 | 0.99 | 0.99 | 0.99 | 0.99 | 0.99 | 0.99 | 0.94 | 1.00 | 1 |
USA_University of Pennsylvania | 0.83 | 0.95 | 0.98 | 0.93 | 0.95 | 0.87 | 0.98 | 0.97 | 0.99 | 0.99 | 0.86 | 0.95 | 14 |
Denmark_Technical University of Denmark | 0.61 | 0.88 | 0.79 | 0.82 | 0.80 | 0.76 | 0.82 | 0.84 | 0.56 | 0.87 | 0.91 | 0.82 | 114 |
Italy_Scuola Normale Superiore di Pisa | 0.97 | 0.99 | 0.73 | 1.00 | 0.98 | 0.99 | 0.67 | 0.72 | 0.76 | 0.93 | 0.31 | 0.81 | 123 |
Russia_Lomonosov Moscow State University | 0.79 | 0.88 | 0.95 | 0.52 | 0.31 | 0.61 | 0.94 | 0.90 | 0.69 | 0.89 | 0.94 | 0.82 | 108 |
USA_Stanford University | 0.88 | 0.98 | 1.00 | 0.97 | 0.99 | 0.87 | 1.00 | 1.00 | 0.99 | 0.99 | 0.85 | 0.99 | 3 |
USA_University of California, San Diego | 0.42 | 0.60 | 0.96 | 0.79 | 0.96 | 0.60 | 0.96 | 0.96 | 0.87 | 0.94 | 0.81 | 0.87 | 63 |
Japan_Osaka University | 0.57 | 0.83 | 0.91 | 0.68 | 0.33 | 0.75 | 0.92 | 0.84 | 0.59 | 0.86 | 0.82 | 0.74 | 158 |
USA_Washington University in St. Louis | 0.86 | 0.96 | 0.93 | 0.94 | 0.97 | 0.85 | 0.93 | 0.91 | 0.96 | 0.97 | 0.85 | 0.95 | 12 |
USA_Dartmouth College | 0.50 | 0.74 | 0.84 | 0.92 | 0.88 | 0.93 | 0.69 | 0.75 | 0.88 | 0.95 | 0.87 | 0.89 | 48 |
China_University of Science and Technology of China | 0.88 | 0.97 | 0.66 | 0.91 | 0.81 | 0.90 | 0.66 | 0.62 | 0.79 | 0.92 | 0.97 | 0.89 | 50 |
Japan_Tokyo Institute of Technology | 0.62 | 0.92 | 0.93 | 0.76 | 0.35 | 0.85 | 0.92 | 0.91 | 0.43 | 0.78 | 0.86 | 0.76 | 151 |
USA_University of California, Los Angeles | 0.64 | 0.75 | 0.99 | 0.86 | 0.93 | 0.76 | 0.99 | 0.99 | 0.92 | 0.96 | 0.80 | 0.87 | 65 |
Japan_Hokkaido University | 0.59 | 0.84 | 0.82 | 0.62 | 0.29 | 0.76 | 0.82 | 0.69 | 0.52 | 0.81 | 0.78 | 0.70 | 167 |
USA_Princeton University | 0.78 | 0.91 | 0.99 | 0.96 | 0.99 | 0.88 | 0.99 | 0.99 | 0.97 | 0.97 | 0.85 | 0.94 | 16 |
USA_University of Michigan | 0.69 | 0.85 | 0.99 | 0.85 | 0.89 | 0.78 | 0.99 | 0.98 | 0.83 | 0.92 | 0.82 | 0.89 | 46 |
USA_Georgetown University | 0.91 | 0.96 | 0.84 | 0.53 | 0.79 | 0.44 | 0.82 | 0.87 | 0.78 | 0.90 | 0.67 | 0.82 | 110 |
USA_Massachusetts Institute of Technology (MIT) | 0.89 | 0.97 | 1.00 | 0.90 | 1.00 | 0.62 | 1.00 | 1.00 | 0.99 | 0.99 | 0.93 | 0.99 | 5 |
USA_Case Western Reserve University | 0.92 | 0.97 | 0.79 | 0.90 | 0.89 | 0.87 | 0.79 | 0.81 | 0.84 | 0.92 | 0.91 | 0.90 | 44 |
USA_New York University | 0.70 | 0.89 | 0.96 | 0.67 | 0.94 | 0.57 | 0.97 | 0.97 | 0.92 | 0.95 | 0.69 | 0.88 | 54 |
USA_Rice University | 0.68 | 0.84 | 0.85 | 0.90 | 0.98 | 0.79 | 0.84 | 0.86 | 0.88 | 0.93 | 0.75 | 0.88 | 52 |
Japan_Kyoto University | 0.70 | 0.89 | 0.97 | 0.78 | 0.43 | 0.83 | 0.97 | 0.94 | 0.74 | 0.89 | 0.81 | 0.79 | 140 |
Sweden_Karolinska Institute | 0.80 | 0.92 | 0.92 | 0.99 | 0.91 | 0.98 | 0.93 | 0.95 | 0.84 | 0.91 | 0.97 | 0.95 | 13 |
Japan_Nagoya University | 0.69 | 0.85 | 0.86 | 0.69 | 0.40 | 0.76 | 0.86 | 0.75 | 0.72 | 0.87 | 0.87 | 0.78 | 143 |
USA_Harvard University | 0.96 | 0.99 | 1.00 | 1.00 | 0.98 | 1.00 | 1.00 | 1.00 | 0.97 | 0.97 | 0.87 | 1.00 | 2 |
USA_Tufts University | 0.93 | 0.97 | 0.74 | 0.84 | 0.93 | 0.75 | 0.72 | 0.78 | 0.85 | 0.91 | 0.72 | 0.83 | 97 |
Switzerland_University of Lausanne | 0.54 | 0.80 | 0.64 | 0.90 | 0.83 | 0.88 | 0.60 | 0.60 | 0.51 | 0.75 | 0.86 | 0.69 | 169 |
India_Indian Institute of Science | 0.97 | 1.00 | 0.84 | 0.94 | 0.28 | 0.99 | 0.85 | 0.80 | 0.91 | 0.93 | 0.97 | 0.91 | 36 |
USA_University of North Carolina | 0.74 | 0.91 | 0.95 | 0.77 | 0.90 | 0.65 | 0.95 | 0.95 | 0.82 | 0.90 | 0.83 | 0.90 | 42 |
USA_Cornell University | 0.76 | 0.86 | 0.97 | 0.96 | 0.94 | 0.93 | 0.97 | 0.98 | 0.83 | 0.90 | 0.80 | 0.94 | 17 |
USA_University of Wisconsin - Madison | 0.80 | 0.85 | 0.97 | 0.73 | 0.87 | 0.64 | 0.97 | 0.97 | 0.74 | 0.87 | 0.81 | 0.87 | 68 |
Republic of Korea_Korea Advanced Institute of Science and Technology (KAIST) | 0.96 | 0.98 | 0.93 | 0.88 | 0.54 | 0.93 | 0.95 | 0.90 | 0.93 | 0.95 | 0.99 | 0.91 | 34 |
Republic of Korea_Pohang University of Science and Technology | 0.98 | 0.98 | 0.83 | 0.97 | 0.57 | 0.99 | 0.87 | 0.78 | 0.93 | 0.95 | 0.98 | 0.93 | 24 |
UK_University College London | 0.80 | 0.90 | 0.97 | 0.90 | 0.94 | 0.84 | 0.97 | 0.98 | 0.66 | 0.82 | 0.69 | 0.88 | 60 |
Japan_University of Tokyo | 0.90 | 0.94 | 0.98 | 0.82 | 0.52 | 0.83 | 0.98 | 0.97 | 0.88 | 0.92 | 0.82 | 0.88 | 58 |
UK_University of Oxford | 0.93 | 0.94 | 0.99 | 0.91 | 0.98 | 0.81 | 0.99 | 0.99 | 0.87 | 0.91 | 0.73 | 0.94 | 20 |
USA_Brown University | 0.80 | 0.84 | 0.90 | 0.97 | 0.92 | 0.96 | 0.91 | 0.91 | 0.93 | 0.94 | 0.75 | 0.90 | 43 |
China_Zhejiang University | 0.90 | 0.92 | 0.80 | 0.92 | 0.55 | 0.95 | 0.78 | 0.70 | 0.98 | 0.98 | 0.99 | 0.88 | 51 |
USA_University of Minnesota | 0.83 | 0.85 | 0.94 | 0.72 | 0.79 | 0.66 | 0.95 | 0.94 | 0.79 | 0.87 | 0.79 | 0.87 | 62 |
Hong Kong_City University of Hong Kong | 0.74 | 0.51 | 0.78 | 0.87 | 0.86 | 0.92 | 0.82 | 0.76 | 1.00 | 0.99 | 0.82 | 0.84 | 87 |
UK_University of Cambridge | 0.96 | 0.94 | 1.00 | 0.92 | 0.96 | 0.82 | 1.00 | 0.99 | 0.94 | 0.94 | 0.73 | 0.97 | 7 |
China_Shanghai Jiao Tong University | 0.83 | 0.94 | 0.80 | 0.82 | 0.49 | 0.92 | 0.82 | 0.82 | 0.87 | 0.91 | 0.96 | 0.84 | 86 |
USA_University of Washington | 0.73 | 0.80 | 0.97 | 0.89 | 0.97 | 0.78 | 0.97 | 0.96 | 0.94 | 0.94 | 0.89 | 0.93 | 21 |
Taiwan_National Taiwan University | 0.55 | 0.78 | 0.91 | 0.77 | 0.44 | 0.84 | 0.91 | 0.85 | 0.55 | 0.72 | 0.88 | 0.72 | 163 |
USA_University of Illinois at Chicago | 0.88 | 0.91 | 0.84 | 0.75 | 0.74 | 0.69 | 0.85 | 0.87 | 0.84 | 0.89 | 0.63 | 0.81 | 124 |
China_Fudan University | 0.85 | 0.95 | 0.83 | 0.87 | 0.61 | 0.91 | 0.83 | 0.77 | 0.85 | 0.89 | 0.97 | 0.88 | 57 |
USA_Rutgers the State University of New Jersey | 0.74 | 0.77 | 0.89 | 0.64 | 0.72 | 0.59 | 0.89 | 0.90 | 0.81 | 0.88 | 0.73 | 0.79 | 135 |
Switzerland_Ecole Polytechnique Federale de Lausanne | 0.88 | 0.95 | 0.94 | 0.90 | 0.97 | 0.73 | 0.95 | 0.95 | 0.79 | 0.86 | 0.87 | 0.92 | 30 |
UK_Imperial College London | 0.94 | 0.93 | 0.98 | 0.96 | 0.95 | 0.92 | 0.98 | 0.98 | 0.86 | 0.89 | 0.76 | 0.96 | 10 |
China_Peking University | 0.94 | 0.98 | 0.95 | 0.83 | 0.71 | 0.84 | 0.95 | 0.93 | 0.98 | 0.98 | 0.97 | 0.95 | 11 |
USA_Boston University | 0.89 | 0.89 | 0.91 | 0.87 | 0.94 | 0.77 | 0.90 | 0.93 | 0.82 | 0.87 | 0.77 | 0.90 | 41 |
USA_University of Iowa | 0.78 | 0.79 | 0.86 | 0.62 | 0.77 | 0.55 | 0.85 | 0.84 | 0.92 | 0.93 | 0.73 | 0.83 | 101 |
USA_University of Southern California | 0.55 | 0.71 | 0.93 | 0.83 | 0.87 | 0.74 | 0.93 | 0.93 | 0.93 | 0.93 | 0.78 | 0.89 | 49 |
China_Tsinghua University | 0.87 | 0.95 | 0.96 | 0.83 | 0.75 | 0.84 | 0.96 | 0.95 | 0.96 | 0.96 | 0.99 | 0.93 | 25 |
USA_University of California, Davis | 0.67 | 0.63 | 0.94 | 0.78 | 0.82 | 0.71 | 0.95 | 0.95 | 0.93 | 0.93 | 0.83 | 0.84 | 92 |
Republic of Korea_Gwangju Institute of Science and Technology | 0.94 | 0.99 | 0.19 | 0.93 | 0.41 | 0.98 | 0.40 | 0.08 | 0.95 | 0.94 | 0.99 | 0.79 | 134 |
Sweden_Lund University | 0.53 | 0.80 | 0.88 | 0.85 | 0.81 | 0.82 | 0.88 | 0.87 | 0.48 | 0.63 | 0.90 | 0.79 | 136 |
Republic of Korea_Yonsei University | 0.81 | 0.68 | 0.89 | 0.88 | 0.45 | 0.93 | 0.88 | 0.77 | 0.98 | 0.97 | 0.92 | 0.82 | 117 |
USA_North Carolina State University | 0.65 | 0.65 | 0.86 | 0.65 | 0.65 | 0.67 | 0.85 | 0.88 | 0.81 | 0.85 | 0.76 | 0.78 | 141 |
Sweden_Chalmers University of Technology | 0.78 | 0.87 | 0.75 | 0.73 | 0.54 | 0.78 | 0.76 | 0.73 | 0.63 | 0.75 | 0.92 | 0.78 | 144 |
USA_Ohio State University | 0.78 | 0.73 | 0.94 | 0.71 | 0.84 | 0.63 | 0.94 | 0.94 | 0.94 | 0.94 | 0.75 | 0.87 | 67 |
UK_King`s College London | 0.73 | 0.76 | 0.94 | 0.86 | 0.96 | 0.78 | 0.94 | 0.95 | 0.61 | 0.72 | 0.59 | 0.84 | 90 |
Spain_Autonomous University of Barcelona | 0.81 | 0.83 | 0.81 | 0.74 | 0.67 | 0.75 | 0.81 | 0.76 | 0.26 | 0.38 | 0.38 | 0.66 | 172 |
UK_University of Edinburgh | 0.75 | 0.78 | 0.95 | 0.84 | 0.97 | 0.69 | 0.94 | 0.95 | 0.64 | 0.75 | 0.66 | 0.84 | 89 |
USA_Northwestern University | 0.96 | 0.96 | 0.96 | 0.97 | 0.97 | 0.94 | 0.96 | 0.96 | 0.97 | 0.96 | 0.93 | 0.98 | 6 |
Canada_McGill University | 0.80 | 0.77 | 0.95 | 0.91 | 0.80 | 0.89 | 0.94 | 0.96 | 0.60 | 0.69 | 0.78 | 0.82 | 115 |
USA_George Washington University | 0.95 | 0.96 | 0.79 | 0.60 | 0.79 | 0.56 | 0.78 | 0.83 | 0.80 | 0.83 | 0.64 | 0.77 | 147 |
Switzerland_ETH Zurich (Swiss Federal Institute of Technology) | 0.94 | 0.97 | 0.98 | 0.96 | 0.93 | 0.94 | 0.98 | 0.98 | 0.84 | 0.85 | 0.96 | 0.96 | 9 |
France_Sorbonne University | 0.87 | 0.92 | 0.91 | 0.91 | 0.80 | 0.88 | 0.90 | 0.91 | 0.27 | 0.35 | 0.24 | 0.79 | 137 |
UK_University of Southampton | 0.74 | 0.70 | 0.80 | 0.91 | 0.95 | 0.81 | 0.83 | 0.87 | 0.52 | 0.62 | 0.52 | 0.77 | 145 |
Japan_University of Tsukuba | 0.83 | 0.86 | 0.71 | 0.72 | 0.40 | 0.83 | 0.72 | 0.69 | 0.81 | 0.83 | 0.76 | 0.79 | 139 |
USA_Carnegie Mellon University | 0.69 | 0.82 | 0.96 | 0.88 | 0.91 | 0.82 | 0.96 | 0.97 | 0.92 | 0.91 | 0.95 | 0.91 | 37 |
USA_University of Notre Dame | 0.90 | 0.83 | 0.81 | 0.81 | 0.79 | 0.79 | 0.82 | 0.83 | 0.87 | 0.88 | 0.72 | 0.85 | 78 |
Netherlands_University of Twente | 0.77 | 0.81 | 0.74 | 0.84 | 0.58 | 0.90 | 0.79 | 0.82 | 0.74 | 0.79 | 0.94 | 0.79 | 132 |
UK_University of Bristol | 0.75 | 0.66 | 0.86 | 0.92 | 0.96 | 0.81 | 0.86 | 0.89 | 0.63 | 0.69 | 0.62 | 0.81 | 119 |
Netherlands_Utrecht University | 0.61 | 0.67 | 0.89 | 0.96 | 0.88 | 0.94 | 0.89 | 0.90 | 0.53 | 0.61 | 0.88 | 0.83 | 102 |
USA_University of Utah | 0.77 | 0.76 | 0.79 | 0.77 | 0.77 | 0.70 | 0.81 | 0.81 | 0.96 | 0.94 | 0.74 | 0.83 | 104 |
USA_University of California, Berkeley | 0.84 | 0.73 | 0.99 | 0.94 | 0.98 | 0.82 | 0.99 | 0.99 | 0.89 | 0.88 | 0.83 | 0.92 | 26 |
Denmark_Aarhus University | 0.59 | 0.61 | 0.78 | 0.90 | 0.76 | 0.91 | 0.80 | 0.81 | 0.54 | 0.61 | 0.89 | 0.76 | 152 |
Brazil_State University of Campinas (Unicamp) | 0.91 | 0.95 | 0.85 | 0.64 | 0.35 | 0.82 | 0.84 | 0.79 | 0.80 | 0.80 | 0.86 | 0.81 | 125 |
USA_Pennsylvania State University | 0.65 | 0.49 | 0.95 | 0.82 | 0.73 | 0.82 | 0.95 | 0.96 | 0.97 | 0.94 | 0.85 | 0.84 | 91 |
Spain_University of Barcelona | 0.81 | 0.77 | 0.84 | 0.88 | 0.75 | 0.86 | 0.83 | 0.82 | 0.20 | 0.20 | 0.40 | 0.73 | 161 |
China_Nanjing University | 0.84 | 0.92 | 0.72 | 0.85 | 0.65 | 0.87 | 0.71 | 0.69 | 0.80 | 0.80 | 0.90 | 0.81 | 120 |
India_Indian Institute of Technology, Madras | 0.88 | 0.93 | 0.82 | 0.40 | 0.29 | 0.48 | 0.80 | 0.75 | 0.87 | 0.84 | 0.71 | 0.77 | 146 |
Switzerland_University of Geneva | 0.73 | 0.84 | 0.78 | 0.95 | 0.92 | 0.91 | 0.77 | 0.79 | 0.62 | 0.65 | 0.68 | 0.81 | 121 |
Sweden_Royal Institute of Technology (KTH) | 0.89 | 0.90 | 0.88 | 0.83 | 0.62 | 0.87 | 0.88 | 0.91 | 0.69 | 0.70 | 0.90 | 0.82 | 111 |
USA_Syracuse University | 0.65 | 0.60 | 0.80 | 0.54 | 0.93 | 0.41 | 0.76 | 0.80 | 0.82 | 0.81 | 0.50 | 0.71 | 166 |
Republic of Korea_Hanyang University | 0.91 | 0.79 | 0.69 | 0.81 | 0.41 | 0.93 | 0.68 | 0.32 | 0.92 | 0.90 | 0.98 | 0.83 | 100 |
Singapore_Nanyang Technological University | 0.83 | 0.61 | 0.94 | 0.93 | 0.96 | 0.89 | 0.94 | 0.92 | 0.93 | 0.91 | 0.92 | 0.93 | 23 |
Brazil_University of Sao Paulo | 0.93 | 0.94 | 0.92 | 0.70 | 0.34 | 0.88 | 0.89 | 0.89 | 0.62 | 0.64 | 0.94 | 0.82 | 116 |
Germany_Ruprecht Karl University of Heidelberg | 0.98 | 0.93 | 0.90 | 0.86 | 0.94 | 0.75 | 0.88 | 0.89 | 0.76 | 0.76 | 0.64 | 0.87 | 61 |
Canada_University of Calgary | 0.77 | 0.70 | 0.75 | 0.83 | 0.72 | 0.83 | 0.75 | 0.83 | 0.68 | 0.68 | 0.77 | 0.79 | 138 |
USA_University of Colorado | 0.68 | 0.59 | 0.89 | 0.71 | 0.96 | 0.53 | 0.90 | 0.90 | 0.78 | 0.76 | 0.72 | 0.78 | 142 |
Switzerland_University of Bern | 0.98 | 0.94 | 0.70 | 0.98 | 0.90 | 0.98 | 0.73 | 0.67 | 0.88 | 0.85 | 0.78 | 0.87 | 69 |
USA_University of California, Irvine | 0.70 | 0.51 | 0.82 | 0.82 | 0.92 | 0.70 | 0.86 | 0.86 | 0.94 | 0.90 | 0.76 | 0.83 | 99 |
Finland_University of Helsinki | 0.79 | 0.81 | 0.83 | 0.95 | 0.92 | 0.89 | 0.85 | 0.86 | 0.62 | 0.61 | 0.87 | 0.83 | 105 |
USA_Colorado School of Mines | 0.68 | 0.59 | 0.80 | 0.82 | 0.85 | 0.77 | 0.77 | 0.86 | 0.75 | 0.74 | 0.69 | 0.80 | 129 |
USA_University of Florida | 0.96 | 0.86 | 0.92 | 0.84 | 0.65 | 0.88 | 0.91 | 0.92 | 0.90 | 0.86 | 0.97 | 0.89 | 47 |
India_Indian Institute of Technology, Delhi | 0.91 | 0.93 | 0.84 | 0.57 | 0.30 | 0.77 | 0.81 | 0.73 | 0.90 | 0.86 | 0.76 | 0.76 | 154 |
USA_Michigan State University | 0.86 | 0.70 | 0.93 | 0.72 | 0.79 | 0.72 | 0.92 | 0.94 | 0.88 | 0.84 | 0.81 | 0.84 | 93 |
USA_Purdue University | 0.72 | 0.62 | 0.95 | 0.86 | 0.68 | 0.83 | 0.95 | 0.96 | 0.83 | 0.79 | 0.90 | 0.82 | 113 |
Netherlands_Radboud University Nijmegen | 0.80 | 0.78 | 0.64 | 0.97 | 0.88 | 0.95 | 0.72 | 0.74 | 0.67 | 0.64 | 0.85 | 0.83 | 103 |
Australia_Australian National University | 0.86 | 0.77 | 0.91 | 0.94 | 0.89 | 0.95 | 0.93 | 0.94 | 0.82 | 0.77 | 0.93 | 0.92 | 31 |
Singapore_National University of Singapore | 0.85 | 0.65 | 0.98 | 0.89 | 0.82 | 0.87 | 0.98 | 0.96 | 0.97 | 0.93 | 0.92 | 0.92 | 32 |
USA_University of Illinois at Urbana - Champaign | 0.70 | 0.57 | 0.97 | 0.91 | 0.87 | 0.86 | 0.97 | 0.97 | 0.89 | 0.83 | 0.84 | 0.88 | 56 |
Hong Kong_University of Hong Kong | 0.93 | 0.78 | 0.94 | 0.95 | 0.77 | 0.97 | 0.93 | 0.92 | 0.95 | 0.90 | 0.97 | 0.94 | 18 |
USA_Virginia Polytechnic Institute and State University | 0.76 | 0.63 | 0.87 | 0.60 | 0.55 | 0.66 | 0.87 | 0.88 | 0.79 | 0.73 | 0.89 | 0.75 | 156 |
USA_University of Arizona | 0.86 | 0.72 | 0.88 | 0.82 | 0.80 | 0.77 | 0.90 | 0.89 | 0.86 | 0.80 | 0.72 | 0.85 | 82 |
Canada_University of British Columbia | 0.77 | 0.64 | 0.96 | 0.92 | 0.86 | 0.90 | 0.96 | 0.97 | 0.78 | 0.71 | 0.77 | 0.86 | 72 |
Finland_Aalto University | 0.81 | 0.86 | 0.77 | 0.86 | 0.73 | 0.85 | 0.79 | 0.80 | 0.64 | 0.58 | 0.63 | 0.76 | 153 |
Hong Kong_Chinese University Hong Kong | 0.87 | 0.67 | 0.89 | 0.95 | 0.82 | 0.97 | 0.89 | 0.82 | 0.95 | 0.90 | 0.95 | 0.92 | 28 |
Republic of Korea_Sungkyunkwan University | 0.86 | 0.72 | 0.96 | 0.93 | 0.57 | 0.96 | 0.96 | 0.92 | 0.91 | 0.84 | 0.95 | 0.87 | 64 |
Canada_University of Toronto | 0.89 | 0.75 | 0.97 | 0.94 | 0.87 | 0.92 | 0.97 | 0.98 | 0.82 | 0.73 | 0.84 | 0.91 | 35 |
Canada_Universite de Montreal | 0.95 | 0.81 | 0.80 | 0.89 | 0.69 | 0.91 | 0.81 | 0.86 | 0.79 | 0.69 | 0.84 | 0.87 | 70 |
Netherlands_Erasmus University Rotterdam | 0.70 | 0.59 | 0.85 | 0.99 | 0.92 | 0.97 | 0.87 | 0.88 | 0.72 | 0.62 | 0.94 | 0.83 | 106 |
Australia_University of Sydney | 0.75 | 0.66 | 0.93 | 0.93 | 0.85 | 0.94 | 0.93 | 0.95 | 0.74 | 0.65 | 0.74 | 0.86 | 76 |
Netherlands_Wageningen University and Research Center | 0.87 | 0.90 | 0.90 | 0.90 | 0.94 | 0.84 | 0.91 | 0.93 | 0.91 | 0.81 | 0.95 | 0.92 | 29 |
Israel_Technion Israel Institute of Technology | 0.77 | 0.69 | 0.82 | 0.76 | 0.58 | 0.80 | 0.87 | 0.90 | 0.81 | 0.68 | 0.51 | 0.77 | 149 |
Ireland_Trinity College Dublin | 0.85 | 0.65 | 0.78 | 0.85 | 0.81 | 0.80 | 0.77 | 0.81 | 0.67 | 0.54 | 0.73 | 0.76 | 150 |
Israel_Tel Aviv University | 0.92 | 0.76 | 0.78 | 0.95 | 0.57 | 0.98 | 0.82 | 0.87 | 0.69 | 0.55 | 0.83 | 0.79 | 130 |
Turkey_Istanbul Technical University | 0.33 | 0.40 | 0.81 | 0.37 | 0.51 | 0.30 | 0.76 | 0.78 | 0.99 | 0.97 | 1.00 | 0.66 | 171 |
Canada_Western University | 0.94 | 0.74 | 0.67 | 0.86 | 0.64 | 0.92 | 0.66 | 0.76 | 0.79 | 0.64 | 0.76 | 0.79 | 133 |
USA_University of California, Santa Cruz | 0.52 | 0.31 | 0.76 | 0.93 | 1.00 | 0.71 | 0.77 | 0.79 | 0.87 | 0.74 | 0.70 | 0.72 | 164 |
Republic of Korea_Konkuk University | 0.89 | 0.49 | 0.29 | 0.82 | 0.30 | 0.96 | 0.25 | 0.24 | 0.91 | 0.79 | 0.90 | 0.61 | 174 |
Australia_University of Western Australia | 0.79 | 0.50 | 0.77 | 0.98 | 0.83 | 0.99 | 0.77 | 0.83 | 0.80 | 0.66 | 0.88 | 0.82 | 118 |
Netherlands_University of Groningen | 0.85 | 0.67 | 0.81 | 0.98 | 0.86 | 0.98 | 0.83 | 0.83 | 0.80 | 0.65 | 0.96 | 0.85 | 80 |
Canada_University of Ottawa | 0.97 | 0.83 | 0.75 | 0.87 | 0.77 | 0.90 | 0.68 | 0.82 | 0.75 | 0.57 | 0.78 | 0.82 | 109 |
USA_Texas A&M University | 0.93 | 0.69 | 0.92 | 0.70 | 0.59 | 0.75 | 0.92 | 0.94 | 0.87 | 0.70 | 0.84 | 0.84 | 96 |
Canada_Queens University | 0.93 | 0.71 | 0.65 | 0.78 | 0.57 | 0.86 | 0.64 | 0.77 | 0.86 | 0.68 | 0.80 | 0.75 | 157 |
Germany_Karlsruhe Institute of Technology | 0.92 | 0.83 | 0.86 | 0.84 | 0.76 | 0.83 | 0.88 | 0.90 | 0.89 | 0.73 | 0.91 | 0.87 | 71 |
USA_Georgia Institute of Technology | 0.90 | 0.73 | 0.96 | 0.74 | 0.90 | 0.63 | 0.96 | 0.97 | 0.93 | 0.81 | 0.92 | 0.87 | 66 |
USA_University of California, Santa Barbara | 0.78 | 0.40 | 0.92 | 0.97 | 0.97 | 0.89 | 0.93 | 0.94 | 0.94 | 0.80 | 0.90 | 0.90 | 40 |
Germany_University of Ulm | 0.99 | 0.94 | 0.40 | 0.98 | 0.78 | 0.97 | 0.35 | 0.53 | 0.90 | 0.71 | 0.83 | 0.81 | 122 |
Canada_McMaster University | 0.92 | 0.62 | 0.83 | 0.99 | 0.85 | 0.99 | 0.83 | 0.89 | 0.91 | 0.75 | 0.96 | 0.88 | 59 |
Belgium_Vrije Universiteit Brussels (VUB) | 0.94 | 0.84 | 0.64 | 0.94 | 0.68 | 0.96 | 0.71 | 0.73 | 0.86 | 0.64 | 0.93 | 0.84 | 85 |
Germany_University of Gottingen | 0.97 | 0.91 | 0.86 | 0.92 | 0.85 | 0.91 | 0.83 | 0.86 | 0.86 | 0.62 | 0.90 | 0.91 | 39 |
Belgium_University of Antwerp | 0.92 | 0.75 | 0.53 | 0.96 | 0.78 | 0.96 | 0.64 | 0.62 | 0.76 | 0.50 | 0.89 | 0.77 | 148 |
Australia_University of Adelaide | 0.91 | 0.53 | 0.73 | 0.97 | 0.95 | 0.96 | 0.76 | 0.83 | 0.84 | 0.58 | 0.84 | 0.82 | 112 |
Australia_University of Wollongong | 0.82 | 0.44 | 0.55 | 0.87 | 0.79 | 0.93 | 0.68 | 0.75 | 0.85 | 0.54 | 0.65 | 0.70 | 168 |
Australia_Monash University | 0.87 | 0.49 | 0.91 | 0.94 | 0.82 | 0.95 | 0.91 | 0.94 | 0.88 | 0.59 | 0.76 | 0.82 | 107 |
Germany_Ludwig Maximilian University of Munich | 0.99 | 0.95 | 0.93 | 0.99 | 0.89 | 1.00 | 0.93 | 0.93 | 0.98 | 0.87 | 1.00 | 0.97 | 8 |
Germany_Technische Universitat Dresden (TU Dresden) | 0.98 | 0.97 | 0.73 | 0.93 | 0.68 | 0.94 | 0.74 | 0.64 | 0.87 | 0.57 | 0.96 | 0.84 | 94 |
Australia_University of Queensland Australia | 0.94 | 0.55 | 0.90 | 0.97 | 0.82 | 0.97 | 0.90 | 0.92 | 0.89 | 0.59 | 0.83 | 0.88 | 55 |
Australia_University of New South Wales | 0.93 | 0.64 | 0.88 | 0.93 | 0.77 | 0.96 | 0.90 | 0.92 | 0.90 | 0.61 | 0.81 | 0.86 | 73 |
Belgium_Katholieke Universiteit Leuven (KU Leuven) | 0.95 | 0.74 | 0.92 | 0.95 | 0.77 | 0.95 | 0.92 | 0.92 | 0.87 | 0.53 | 0.89 | 0.86 | 77 |
Germany_University of Wurzburg | 0.97 | 0.89 | 0.49 | 0.99 | 0.84 | 0.98 | 0.51 | 0.62 | 0.84 | 0.49 | 0.99 | 0.83 | 98 |
Belgium_Ghent University | 0.96 | 0.75 | 0.86 | 0.95 | 0.77 | 0.97 | 0.86 | 0.87 | 0.77 | 0.41 | 0.88 | 0.88 | 53 |
Belgium_University Catholique de Louvain | 0.85 | 0.69 | 0.80 | 0.96 | 0.89 | 0.95 | 0.78 | 0.80 | 0.85 | 0.46 | 0.96 | 0.84 | 88 |
Germany_University of Munster | 0.96 | 0.90 | 0.67 | 0.91 | 0.74 | 0.90 | 0.67 | 0.68 | 0.77 | 0.38 | 0.76 | 0.80 | 127 |
Germany_Darmstadt University of Technology | 0.98 | 0.85 | 0.64 | 0.81 | 0.43 | 0.91 | 0.57 | 0.66 | 0.92 | 0.60 | 0.96 | 0.75 | 155 |
Australia_Queensland University of Technology | 0.81 | 0.36 | 0.74 | 0.79 | 0.69 | 0.86 | 0.69 | 0.79 | 0.81 | 0.41 | 0.79 | 0.69 | 170 |
Germany_University of Freiburg | 1.00 | 0.89 | 0.79 | 0.98 | 0.74 | 0.98 | 0.74 | 0.79 | 0.91 | 0.57 | 0.98 | 0.85 | 79 |
Germany_Technical University of Munich | 0.99 | 0.91 | 0.93 | 0.99 | 0.74 | 0.99 | 0.93 | 0.94 | 0.97 | 0.76 | 0.98 | 0.94 | 19 |
Germany_Humboldt University of Berlin | 0.98 | 0.88 | 0.90 | 0.99 | 0.82 | 1.00 | 0.90 | 0.90 | 0.85 | 0.33 | 0.71 | 0.84 | 83 |
Germany_University of Konstanz | 0.98 | 0.79 | 0.58 | 0.88 | 0.60 | 0.94 | 0.63 | 0.60 | 0.91 | 0.45 | 0.98 | 0.79 | 131 |
Germany_University of Erlangen Nuremberg | 0.99 | 0.90 | 0.51 | 0.98 | 0.74 | 0.99 | 0.60 | 0.48 | 0.98 | 0.74 | 0.92 | 0.85 | 81 |
Germany_Free University of Berlin | 0.99 | 0.91 | 0.87 | 1.00 | 0.72 | 1.00 | 0.88 | 0.88 | 0.89 | 0.37 | 0.82 | 0.89 | 45 |
Germany_University of Hamburg | 1.00 | 0.85 | 0.72 | 0.91 | 0.82 | 0.91 | 0.73 | 0.75 | 0.96 | 0.60 | 0.80 | 0.84 | 84 |
Germany_Technical University of Berlin | 0.99 | 0.87 | 0.88 | 0.88 | 0.58 | 0.95 | 0.87 | 0.88 | 0.96 | 0.58 | 0.94 | 0.92 | 33 |
Germany_RWTH Aachen University | 0.99 | 0.93 | 0.86 | 0.98 | 0.79 | 0.98 | 0.86 | 0.86 | 0.95 | 0.53 | 0.98 | 0.93 | 22 |
Germany_Bielefeld University | 0.92 | 0.66 | 0.51 | 0.89 | 0.78 | 0.88 | 0.51 | 0.38 | 0.84 | 0.25 | 0.79 | 0.63 | 173 |
Germany_University of Hannover | 0.98 | 0.76 | 0.58 | 0.82 | 0.52 | 0.92 | 0.61 | 0.67 | 0.94 | 0.43 | 0.89 | 0.71 | 165 |
The final step is to compare the results of the partial rankings to the corresponding part of the original rankings. The results of the Spearman’s rank correlation shows a weak positive relationship between the two rankings.
## [1] 0.3402887
##
## Spearman's rank correlation rho
##
## data: B$Rank and RANK_RUR[rownames(B), ]
## S = 579210, p-value = 4.973e-06
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
## rho
## 0.3402887
The next step is to identify the D1 top league bicluster.
res <- iBBiG(binaryMatrix=binarize(mtx,threshold = 0.9),nModules = 1,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 221.6605 and
## 78 Rows and 3 columns
The results of the iBBiG algorithm can be seen above. The algorithm found one bicluster in which there are 78 rows (HEIs) and 3 columns (indicators). The following step is to calculate the F-tests to determine whether the bicluster is significant or not.
In Table 5 the results of the row and column effects (F-tests) can be read. The row effect is significant, however the column effect is insignificant, so the top D1 league bicluster is insignificant.
Obs.FStat <- NULL
for (i in c(1:res@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=res,number=i)
}
kable(Obs.FStat,caption = "**Table 5** The results of row and column effects for the top D1 league")
|
To see the differences between those HEIs that are included in the top D1 league and those that are not in the top league, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 11). (The horizontal axis of Fig. 11 shows the HEIs, the vertical axis shows the mentioned parameters on normalized (0-1) data of indicators.) On Fig. 11 the red line indicates those HEIs that are included in the top league, while the black line shows the remaining HEIs. The HEIs in the top league have higher means and medians, and have lower variances.
Fig. 11 Mean, median, variance and MAD for the top D1 league HEIs
One can do the same for the columns (indicators). Fig. 12 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. (The horizontal axis of Fig. 12 shows the indicators, the vertical axis shows the mentioned parameters on normalized (0-1) data of HEIs.) The red line indicates those indicators that are in the top league, while the black line shows the remaining indicators.
Fig. 12 Mean, median, variance and MAD for the top D1 league indicators
Fig. 13 depicts the heat map of the top D1 league. The top league contains 78 HEIs and 3 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 13 Heat map of the top D1 league
Fig. 14 shows the heat map of the results of iBBiG on normalized data. The top league can be seen in the upper left corner of Fig. 14 which is enlarged on Fig. 13.
Fig. 14 Heat map of the output after applying iBBiG on normalized data
The next step is to check the stability of the top D1 league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=res,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 1.2748601 1.299290363
## [2,] 1.2481137 0.619799638
## [3,] 1.3401948 0.375051179
## [4,] 1.0464914 0.121934594
## [5,] 0.8794696 2.110284853
## [6,] 1.1396444 0.181662094
## [7,] 0.9815618 1.810506050
## [8,] 0.9568158 0.895438880
## [9,] 0.9644521 4.315125617
## [10,] 0.8117289 0.229893352
## [11,] 0.7214852 0.502606759
## [12,] 1.1449448 0.895557846
## [13,] 0.8530014 0.003580539
## [14,] 1.4159630 2.265104945
## [15,] 1.0360586 2.175279827
## [16,] 1.1449103 2.163641916
## [17,] 0.7250780 0.179391495
## [18,] 1.1043941 0.241580192
## [19,] 1.0077479 0.457420236
## [20,] 0.9634349 1.740376898
## [21,] 0.9024495 0.951915485
## [22,] 1.2163412 0.448617227
## [23,] 0.7299669 1.471978574
## [24,] 0.9716211 0.097952064
## [25,] 0.7467186 4.189626798
## [26,] 0.8276446 0.372444515
## [27,] 0.7457651 0.554695294
## [28,] 1.2727225 0.782496258
## [29,] 0.8205354 1.244082247
## [30,] 0.9380150 0.117319197
## [31,] 0.8133517 1.675887005
## [32,] 1.2546210 0.687949071
## [33,] 0.7353105 0.181414658
## [34,] 0.8174068 0.056024774
## [35,] 0.9077768 2.302363571
## [36,] 0.9334724 0.694454432
## [37,] 0.9131864 0.460063335
## [38,] 0.8825889 1.108405733
## [39,] 0.8298315 0.883122476
## [40,] 1.2013449 1.364725366
## [41,] 0.9367246 0.273008129
## [42,] 1.6231244 0.775581892
## [43,] 1.1137397 1.779818572
## [44,] 1.0942777 1.360343562
## [45,] 0.8438911 0.934737348
## [46,] 1.0949785 0.016108848
## [47,] 1.1077686 0.380633108
## [48,] 1.2349859 0.584191623
## [49,] 1.0263210 0.034506518
## [50,] 1.2134804 0.324487207
## [51,] 1.2312034 4.145796943
## [52,] 1.4130115 2.124211323
## [53,] 1.1859677 1.259683830
## [54,] 0.9634904 0.009343491
## [55,] 0.7988711 1.985814101
## [56,] 1.2260282 0.687301488
## [57,] 0.8256986 0.020982332
## [58,] 0.6715252 0.398853432
## [59,] 0.9598613 0.579732500
## [60,] 0.9866583 0.478656114
## [61,] 0.6965793 0.554996235
## [62,] 0.9099350 0.011872771
## [63,] 1.1893832 0.052932544
## [64,] 0.8065924 0.037377162
## [65,] 0.6211899 0.209017899
## [66,] 1.1924662 2.142298281
## [67,] 0.8896188 0.691637710
## [68,] 1.0697689 2.526468226
## [69,] 0.7203978 0.284929607
## [70,] 0.9441486 0.557131071
## [71,] 1.3151380 0.487938400
## [72,] 1.1057814 1.664899555
## [73,] 0.9146033 0.536859300
## [74,] 0.9319780 0.190398941
## [75,] 1.2106192 0.837438303
## [76,] 1.1911358 0.978712708
## [77,] 1.2084799 4.956758656
## [78,] 1.1446202 0.914794026
## [79,] 1.0565477 0.036602766
## [80,] 0.8465233 0.518850733
## [81,] 0.6662023 1.979427279
## [82,] 1.0050771 0.261110198
## [83,] 0.8361145 1.110219250
## [84,] 1.2027890 1.390873434
## [85,] 0.9272135 0.838170545
## [86,] 0.8650711 0.859708051
## [87,] 1.0594924 0.155492565
## [88,] 1.1930031 2.500053764
## [89,] 1.0527148 2.521198081
## [90,] 0.9489267 2.878026171
## [91,] 1.4284284 3.091468649
## [92,] 0.9937395 0.011367641
## [93,] 1.1496126 0.169057463
## [94,] 1.0793182 0.306957157
## [95,] 0.7521775 1.355646468
## [96,] 1.0922955 0.352446329
## [97,] 1.2241404 0.004261807
## [98,] 0.9272597 0.397611831
## [99,] 0.9913063 0.460493756
## [100,] 0.7770799 0.134893892
##
## $observedFstatRow
## [1] 20.49307
##
## $observedFstatCol
## [1] 0.09226298
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0.8712871
The bicluster is unstable.
The next step is to calculate partial rankings based on the indicators and HEIs in the top league. The calculation of each score of each indicator of the HEIs are done according to the method used in the original RUR ranking. The original weights of RUR’s indicators are used, and the total scores for the HEIs are calculated using the selected indicators in the given bicluster. Table 6 shows the result of partial ranking in the case of the top league.
C<-biclust::bicluster(mtx,res,number=1)
B<-as.data.frame(C[[1]])
selectedweight<-weights[,colnames(B)]
cols <- colnames(B)
sw<-weights[,cols]
BR<-rowSums(B[,cols]*sw)/max(rowSums(B[,cols]*sw))
B$Overall_Score<-BR
B$Rank<-rank(-B$Overall_Score)
kable(B,caption = "**Table 6** League A (D1) by iBBiG",digits = 2)
T5 | R5 | I4 | Overall_Score | Rank | |
---|---|---|---|---|---|
USA_Johns Hopkins University | 0.98 | 0.98 | 0.98 | 0.98 | 12 |
USA_Yale University | 0.99 | 0.99 | 0.99 | 0.99 | 6 |
Japan_Tohoku University | 0.91 | 0.91 | 0.85 | 0.22 | 78 |
USA_University of Pittsburgh | 0.93 | 0.92 | 0.93 | 0.93 | 41 |
USA_Columbia University | 0.99 | 0.98 | 0.98 | 0.99 | 9 |
USA_University of Chicago | 0.98 | 0.99 | 0.99 | 0.25 | 56 |
USA_California Institute of Technology (Caltech) | 0.99 | 0.99 | 0.99 | 0.99 | 7 |
USA_University of Pennsylvania | 0.98 | 0.98 | 0.97 | 0.98 | 13 |
Russia_Lomonosov Moscow State University | 0.95 | 0.94 | 0.90 | 0.23 | 69 |
USA_Stanford University | 1.00 | 1.00 | 1.00 | 1.00 | 3 |
USA_University of California, San Diego | 0.96 | 0.96 | 0.96 | 0.96 | 25 |
Japan_Osaka University | 0.91 | 0.92 | 0.84 | 0.22 | 77 |
USA_Washington University in St. Louis | 0.93 | 0.93 | 0.91 | 0.93 | 43 |
Japan_Tokyo Institute of Technology | 0.93 | 0.92 | 0.91 | 0.92 | 45 |
USA_University of California, Los Angeles | 0.99 | 0.99 | 0.99 | 0.25 | 55 |
USA_Princeton University | 0.99 | 0.99 | 0.99 | 0.99 | 5 |
USA_University of Michigan | 0.99 | 0.99 | 0.98 | 0.99 | 8 |
USA_University of Maryland, College Park | 0.90 | 0.91 | 0.92 | 0.23 | 73 |
USA_Massachusetts Institute of Technology (MIT) | 1.00 | 1.00 | 1.00 | 1.00 | 2 |
USA_New York University | 0.96 | 0.97 | 0.97 | 0.97 | 20 |
Japan_Kyoto University | 0.97 | 0.97 | 0.94 | 0.24 | 60 |
Sweden_Karolinska Institute | 0.92 | 0.93 | 0.95 | 0.93 | 36 |
USA_Harvard University | 1.00 | 1.00 | 1.00 | 1.00 | 1 |
USA_University of North Carolina | 0.95 | 0.95 | 0.95 | 0.24 | 61 |
USA_Cornell University | 0.97 | 0.97 | 0.98 | 0.98 | 15 |
USA_University of Wisconsin - Madison | 0.97 | 0.97 | 0.97 | 0.97 | 21 |
Republic of Korea_Korea Advanced Institute of Science and Technology (KAIST) | 0.93 | 0.95 | 0.90 | 0.23 | 71 |
UK_University College London | 0.97 | 0.97 | 0.98 | 0.97 | 18 |
Japan_University of Tokyo | 0.98 | 0.98 | 0.97 | 0.98 | 14 |
UK_University of Oxford | 0.99 | 0.99 | 0.99 | 0.25 | 54 |
USA_Brown University | 0.90 | 0.91 | 0.91 | 0.91 | 51 |
USA_University of Minnesota | 0.94 | 0.95 | 0.94 | 0.95 | 31 |
UK_University of Cambridge | 1.00 | 1.00 | 0.99 | 0.25 | 53 |
USA_University of Washington | 0.97 | 0.97 | 0.96 | 0.97 | 19 |
Taiwan_National Taiwan University | 0.91 | 0.91 | 0.85 | 0.89 | 52 |
Switzerland_Ecole Polytechnique Federale de Lausanne | 0.94 | 0.95 | 0.95 | 0.24 | 63 |
Russia_Financial University under the Government of the Russian Federation | 0.90 | 0.91 | 0.93 | 0.91 | 50 |
UK_Imperial College London | 0.98 | 0.98 | 0.98 | 0.98 | 10 |
China_Peking University | 0.95 | 0.95 | 0.93 | 0.24 | 66 |
USA_Boston University | 0.91 | 0.90 | 0.93 | 0.91 | 49 |
USA_University of Southern California | 0.93 | 0.93 | 0.93 | 0.93 | 39 |
UK_London School of Economics and Political Science | 0.97 | 0.96 | 0.97 | 0.24 | 58 |
China_Tsinghua University | 0.96 | 0.96 | 0.95 | 0.96 | 26 |
USA_University of California, Davis | 0.94 | 0.95 | 0.95 | 0.95 | 30 |
USA_Ohio State University | 0.94 | 0.94 | 0.94 | 0.24 | 67 |
UK_King`s College London | 0.94 | 0.94 | 0.95 | 0.94 | 32 |
UK_University of Edinburgh | 0.95 | 0.94 | 0.95 | 0.95 | 29 |
USA_Northwestern University | 0.96 | 0.96 | 0.96 | 0.24 | 59 |
Canada_McGill University | 0.95 | 0.94 | 0.96 | 0.95 | 28 |
Switzerland_ETH Zurich (Swiss Federal Institute of Technology) | 0.98 | 0.98 | 0.98 | 0.98 | 11 |
France_Sorbonne University | 0.91 | 0.90 | 0.91 | 0.23 | 75 |
USA_Carnegie Mellon University | 0.96 | 0.96 | 0.97 | 0.96 | 24 |
USA_Indiana University | 0.92 | 0.92 | 0.92 | 0.92 | 47 |
UK_University of Manchester | 0.94 | 0.94 | 0.96 | 0.24 | 65 |
USA_University of California, Berkeley | 0.99 | 0.99 | 0.99 | 0.99 | 4 |
USA_Pennsylvania State University | 0.95 | 0.95 | 0.96 | 0.96 | 27 |
Singapore_Nanyang Technological University | 0.94 | 0.94 | 0.92 | 0.23 | 70 |
USA_University of Florida | 0.92 | 0.91 | 0.92 | 0.92 | 48 |
USA_Michigan State University | 0.93 | 0.92 | 0.94 | 0.93 | 37 |
USA_Purdue University | 0.95 | 0.95 | 0.96 | 0.24 | 62 |
Australia_Australian National University | 0.91 | 0.93 | 0.94 | 0.93 | 40 |
Singapore_National University of Singapore | 0.98 | 0.98 | 0.96 | 0.97 | 17 |
USA_University of Illinois at Urbana - Champaign | 0.97 | 0.97 | 0.97 | 0.24 | 57 |
Hong Kong_University of Hong Kong | 0.94 | 0.93 | 0.92 | 0.94 | 35 |
Canada_University of British Columbia | 0.96 | 0.96 | 0.97 | 0.96 | 23 |
Republic of Korea_Sungkyunkwan University | 0.96 | 0.96 | 0.92 | 0.24 | 64 |
Canada_University of Toronto | 0.97 | 0.97 | 0.98 | 0.98 | 16 |
Australia_University of Sydney | 0.93 | 0.93 | 0.95 | 0.94 | 33 |
Netherlands_Wageningen University and Research Center | 0.90 | 0.91 | 0.93 | 0.23 | 72 |
USA_Texas A&M University | 0.92 | 0.92 | 0.94 | 0.93 | 42 |
USA_Georgia Institute of Technology | 0.96 | 0.96 | 0.97 | 0.97 | 22 |
USA_University of California, Santa Barbara | 0.92 | 0.93 | 0.94 | 0.23 | 68 |
Australia_Monash University | 0.91 | 0.91 | 0.94 | 0.92 | 46 |
Germany_Ludwig Maximilian University of Munich | 0.93 | 0.93 | 0.93 | 0.93 | 38 |
Australia_University of Queensland Australia | 0.90 | 0.90 | 0.92 | 0.23 | 74 |
Belgium_Katholieke Universiteit Leuven (KU Leuven) | 0.92 | 0.92 | 0.92 | 0.93 | 44 |
Germany_Technical University of Munich | 0.93 | 0.93 | 0.94 | 0.94 | 34 |
Germany_Humboldt University of Berlin | 0.90 | 0.90 | 0.90 | 0.23 | 76 |
The final step is to compare the results of the partial rankings to the corresponding part of the original rankings. The results of the Spearman’s rank correlation shows a very weak positive relationship between the two rankings.
## [1] 0.2387612
##
## Spearman's rank correlation rho
##
## data: B$Rank and RANK_RUR[rownames(B), ]
## S = 60198, p-value = 0.03551
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
## rho
## 0.2387612
To sum up, only the median top league A (where the threshold is 0.5) satisfies all criteria, such as:
Significance: + Median A: yes + Q1 A: yes + D1 A: no
Stability + Median A: yes + Q1 A: yes + D1 A: no
High correlation of partial ranks + Median A: yes + Q1 A: no + D1 A: no
Since, only the median league A satisfies all criteria, the hierarchical biclustering is performed based on the median league where the algorithm is looking for the next bicluster within the former bicluster. The iteration is performed until all criteria (significance, stability, high correlation) are satisfied.
The 1-3 iterations
res <- iBBiG(binaryMatrix=binarize(mtx,threshold = 0.5),nModules = 1,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 3800.414 and
## 398 Rows and 17 columns
#The first iteration
C<-biclust::bicluster(mtx,res,number=1)
B<-as.matrix(as.data.frame(C[[1]]))
for (i in 1:ncol(B)){ #Normalization (min-max)
B[,i]<-normalize(B[,i])
}
res <- iBBiG(binaryMatrix=binarize(B,threshold = 0.5),nModules = 1,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 3481.81 and
## 372 Rows and 17 columns
#The second iteration
C<-biclust::bicluster(mtx,res,number=1)
B<-as.matrix(as.data.frame(C[[1]]))
for (i in 1:ncol(B)){ #Normalization (min-max)
B[,i]<-normalize(B[,i])
}
res <- iBBiG(binaryMatrix=binarize(B,threshold = 0.5),nModules = 1,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 3532.033 and
## 368 Rows and 17 columns
#The third iteration
C<-biclust::bicluster(mtx,res,number=1)
B<-as.matrix(as.data.frame(C[[1]]))
for (i in 1:ncol(B)){ #Normalization (min-max)
B[,i]<-normalize(B[,i])
}
res <- iBBiG(binaryMatrix=binarize(B,threshold = 0.5),nModules = 1,alpha=0.3,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 1853.171 and
## 187 Rows and 17 columns
In the first three iteration, there is no change in the number of columns. Regarding the number of HEIs (rows), the iteration resulted in only a few changes.
In Table 7 the results of the row and column effects (F-tests) can be seen. Both the row and column effects are significant, so the top league bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:res@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=res,number=i)
}
kable(Obs.FStat,caption = "**Table 7** The results of row and column effects for the top Hierarchical D1 league")
|
To see the differences between those HEIs that are included in the top league and those that are not in the top league, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 15). (The horizontal axis of Fig. 15 shows the HEIs, the vertical axis shows the mentioned parameters on normalized (0-1) data of indicators.) On Fig. 15 the red line indicates those HEIs that are included in the top league, while the black line shows the remaining HEIs. The HEIs in the top league have higher means and medians, and have lower variances.
Fig. 15 Mean, median, variance and MAD for the hierarchical top league HEIs
One can do the same for the columns (indicators). Fig. 16 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. (The horizontal axis of Fig. 16 shows the indicators, the vertical axis shows the mentioned parameters on normalized (0-1) data of HEIs.) The red line indicates those indicators that are in the top league, while the black line shows the remaining indicators.
Fig. 16 Mean, median, variance and MAD for the hierarchical top league indicators
Fig. 17 depicts the heat map of the top league. The top league contains 187 HEIs and 17 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 9 Heat map of the top league
Fig. 18 shows the heat map of the results of iBBiG on normalized data. The top league can be seen in the upper left corner of Fig. 18 which is enlarged on Fig. 17.
Fig. 10 Heat map of the output after applying iBBiG on normalized data
The next step is to check the stability of the top league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=res,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 1.0352616 1.1090097
## [2,] 1.0451449 1.4141309
## [3,] 0.9392428 1.4792050
## [4,] 1.2634685 1.1100560
## [5,] 1.0231151 1.0421020
## [6,] 1.0847226 1.5719150
## [7,] 1.0432838 0.3691549
## [8,] 0.8992676 1.1949762
## [9,] 1.0464296 0.7066555
## [10,] 0.9267019 0.4450594
## [11,] 0.9805835 0.8921770
## [12,] 0.9395440 0.5940682
## [13,] 0.9889977 1.5690807
## [14,] 1.0181849 0.8467447
## [15,] 0.8860887 1.0016626
## [16,] 1.0359630 0.6558003
## [17,] 1.0221861 0.7469964
## [18,] 1.1113105 1.0971511
## [19,] 0.8537862 1.7004155
## [20,] 0.9550401 0.9693629
## [21,] 1.0643178 1.4429729
## [22,] 1.0003501 0.7544478
## [23,] 1.0322008 1.4801927
## [24,] 0.8787242 0.7876785
## [25,] 0.9279165 0.6850943
## [26,] 0.9614968 0.5437795
## [27,] 1.1840184 1.4432831
## [28,] 0.8944840 1.0200579
## [29,] 0.9344124 0.6275461
## [30,] 0.9559261 0.6713972
## [31,] 1.0548140 0.5746892
## [32,] 0.9469299 0.8849642
## [33,] 1.1859000 1.5289077
## [34,] 0.9686574 1.4367793
## [35,] 1.0055197 0.6201958
## [36,] 1.0357462 1.0314483
## [37,] 1.1275938 1.4544429
## [38,] 0.8172645 1.1354942
## [39,] 0.7525771 0.7670560
## [40,] 0.8881980 0.6727722
## [41,] 0.9131016 0.9840246
## [42,] 0.9504450 0.5235680
## [43,] 1.0693939 0.9592236
## [44,] 0.9224509 0.8527652
## [45,] 0.9378781 0.4072921
## [46,] 0.8964782 0.5329688
## [47,] 1.0376503 1.0059494
## [48,] 1.0364662 1.2430973
## [49,] 1.2225909 0.7778143
## [50,] 0.9853346 1.3553988
## [51,] 0.9087345 1.1620795
## [52,] 0.8921322 0.9097590
## [53,] 0.9880957 0.6026624
## [54,] 0.8336401 1.4652388
## [55,] 0.9839696 0.9082082
## [56,] 1.0408004 1.2433652
## [57,] 1.0323003 0.7340211
## [58,] 0.9983129 1.5828366
## [59,] 1.1462906 1.4310083
## [60,] 1.0248888 1.1230750
## [61,] 0.8839752 1.3380522
## [62,] 0.9781948 0.6805715
## [63,] 0.9444864 1.0186331
## [64,] 0.8373428 1.2189886
## [65,] 1.1053585 0.6834890
## [66,] 1.0310326 1.2022660
## [67,] 1.2650614 0.9877361
## [68,] 1.1238023 1.2788567
## [69,] 1.2991627 1.0991222
## [70,] 0.9219947 1.9703502
## [71,] 0.9813965 0.9440943
## [72,] 0.7911791 1.4585470
## [73,] 1.0284847 0.7500634
## [74,] 1.0372101 0.3695893
## [75,] 1.0558077 0.7087960
## [76,] 1.1282738 0.9728363
## [77,] 0.9363364 0.9916596
## [78,] 0.9831467 0.6574284
## [79,] 1.0444222 0.6408557
## [80,] 1.0992337 1.3122081
## [81,] 0.9860110 1.4596217
## [82,] 0.8631633 1.1188551
## [83,] 0.8503261 0.9968137
## [84,] 0.9486442 0.6117436
## [85,] 1.1419115 1.0075837
## [86,] 1.0713652 0.8693692
## [87,] 1.0693472 1.6816240
## [88,] 0.9760340 0.9351859
## [89,] 1.0842879 0.6267402
## [90,] 1.0787558 0.7432800
## [91,] 1.0529024 1.1446179
## [92,] 1.0539502 0.5883511
## [93,] 0.9321106 1.5035859
## [94,] 0.8933362 1.0833679
## [95,] 1.3384201 1.2774232
## [96,] 0.9820034 1.6726558
## [97,] 0.9117498 0.6782731
## [98,] 0.9005589 1.1012726
## [99,] 1.0167566 0.6370828
## [100,] 0.8666983 1.1127337
##
## $observedFstatRow
## [1] 16.23195
##
## $observedFstatCol
## [1] 35.3993
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0
Since the bootstrapPvalueCol and the bootstrapPvalueRow are lower than 0.01, the bicluster is stable both for rows and columns.
The next step is to calculate partial rankings based on the indicators and HEIs in the top league. The calculation of each score of each indicator of the HEIs are done according to the method used in the original RUR ranking. The original weights of RUR’s indicators are used, and the total scores for the HEIs are calculated using the selected indicators in the given bicluster. Table 8 shows the result of partial ranking in the case of the top league.
C<-biclust::bicluster(mtx,res,number=1)
B<-as.data.frame(C[[1]])
selectedweight<-weights[,colnames(B)]
cols <- colnames(B)
sw<-weights[,cols]
BR<-rowSums(B[,cols]*sw)/max(rowSums(B[,cols]*sw))
B$Overall_Score<-BR
B$Rank<-rank(-B$Overall_Score)
kable(B,caption = "**Table 8** League A by iBBiG",digits = 2)
T1 | T2 | T3 | T4 | T5 | R1 | R2 | R3 | R4 | R5 | I1 | I2 | I3 | I4 | I5 | F1 | F2 | F3 | F4 | F5 | Overall_Score | Rank | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Iraq_Al-Karkh University of Science | 1.00 | 0.03 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.03 | 0.03 | 0.00 | 0.24 | 0.00 | 1.00 | 0.08 | 0.32 | 0.01 | 0.01 | 0.02 | 0.20 | 1.00 | 0.23 | 359 |
USA_University of Nebraska Medical Center | 0.99 | 0.99 | 0.66 | 0.98 | 0.19 | 0.48 | 0.65 | 0.54 | 0.40 | 0.15 | 0.72 | 0.38 | 0.24 | 0.48 | 0.46 | 0.56 | 0.97 | 0.28 | 0.65 | 0.60 | 0.57 | 191 |
Iraq_Al-Qasim green university Iraq | 0.99 | 0.67 | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.14 | 0.07 | 0.00 | 0.00 | 0.00 | 0.99 | 0.08 | 0.26 | 0.09 | 0.63 | 0.13 | 0.09 | 0.12 | 0.19 | 374 |
Russia_European University at St. Petersburg | 0.99 | 0.00 | 0.00 | 0.00 | 0.33 | 0.10 | 0.00 | 0.17 | 0.17 | 0.31 | 0.55 | 0.77 | 0.11 | 0.08 | 0.37 | 0.25 | 0.88 | 0.33 | 0.24 | 0.36 | 0.35 | 313 |
USA_Vanderbilt University | 0.99 | 0.98 | 0.46 | 0.94 | 0.89 | 0.77 | 0.81 | 0.93 | 0.62 | 0.88 | 0.53 | 0.63 | 0.32 | 0.83 | 0.58 | 0.56 | 0.95 | 0.25 | 0.80 | 0.83 | 0.86 | 28 |
USA_Emory University | 0.99 | 0.97 | 0.61 | 0.95 | 0.90 | 0.80 | 0.63 | 0.92 | 0.66 | 0.89 | 0.67 | 0.75 | 0.33 | 0.87 | 0.67 | 0.95 | 0.98 | 0.28 | 0.80 | 0.37 | 0.91 | 11 |
USA_Wake Forest University | 0.98 | 0.97 | 0.49 | 0.92 | 0.53 | 0.70 | 0.80 | 0.89 | 0.53 | 0.31 | 0.23 | 0.38 | 0.23 | 0.64 | 0.37 | 0.74 | 0.96 | 0.40 | 0.67 | 0.42 | 0.70 | 119 |
Slovenia_University of Nova Gorica | 0.98 | 0.99 | 0.32 | 0.93 | 0.46 | 0.73 | 0.20 | 0.68 | 0.68 | 0.51 | 0.86 | 0.97 | 0.97 | 0.43 | 0.82 | 0.08 | 0.42 | 0.85 | 0.41 | 0.92 | 0.75 | 85 |
USA_Johns Hopkins University | 0.98 | 0.99 | 0.49 | 0.96 | 0.98 | 0.92 | 0.75 | 0.95 | 0.85 | 0.98 | 0.75 | 0.85 | 0.49 | 0.98 | 0.79 | 0.96 | 0.98 | 0.09 | 0.99 | 0.93 | 0.97 | 2 |
Japan_Yokohama City University | 0.98 | 0.96 | 0.23 | 0.60 | 0.19 | 0.49 | 0.68 | 0.48 | 0.44 | 0.15 | 0.28 | 0.13 | 0.09 | 0.43 | 0.22 | 0.19 | 0.70 | 0.83 | 0.30 | 0.43 | 0.53 | 217 |
Sweden_Swedish University of Agricultural Sciences | 0.98 | 0.93 | 0.34 | 0.65 | 0.66 | 0.76 | 0.59 | 0.74 | 0.78 | 0.63 | 0.00 | 0.22 | 0.94 | 0.75 | 0.48 | 0.53 | 0.92 | 0.20 | 0.91 | 0.98 | 0.76 | 81 |
Russia_Bauman Moscow State Technical University | 0.98 | 0.98 | 0.28 | 0.78 | 0.79 | 0.08 | 0.10 | 0.05 | 0.09 | 0.76 | 0.46 | 0.41 | 0.05 | 0.68 | 0.40 | 0.17 | 0.64 | 0.03 | 0.62 | 0.94 | 0.54 | 209 |
USA_University of Rochester | 0.97 | 0.95 | 0.48 | 0.82 | 0.76 | 0.79 | 0.58 | 0.89 | 0.66 | 0.79 | 0.71 | 0.91 | 0.45 | 0.82 | 0.74 | 0.97 | 0.98 | 0.25 | 0.82 | 0.27 | 0.81 | 44 |
USA_Yale University | 0.97 | 0.98 | 0.71 | 0.97 | 0.99 | 0.95 | 0.61 | 0.96 | 0.90 | 0.99 | 0.78 | 0.76 | 0.48 | 0.99 | 0.77 | 0.98 | 0.99 | 0.43 | 0.87 | 0.34 | 0.88 | 21 |
Iraq_Hawler Medical University | 0.97 | 0.92 | 0.03 | 0.05 | 0.00 | 0.00 | 0.06 | 0.00 | 0.00 | 0.00 | 0.19 | 0.11 | 0.00 | 0.08 | 0.08 | 0.44 | 0.87 | 0.00 | 0.29 | 0.18 | 0.19 | 371 |
Russia_Ufa State Aviation Technical University | 0.97 | 0.94 | 0.04 | 0.06 | 0.24 | 0.09 | 0.04 | 0.24 | 0.08 | 0.31 | 0.03 | 0.09 | 0.51 | 0.43 | 0.26 | 0.03 | 0.10 | 0.98 | 0.01 | 0.01 | 0.32 | 323 |
Kazakhstan_L.N. Gumilyov Eurasian National University | 0.97 | 0.89 | 0.08 | 0.15 | 0.43 | 0.11 | 0.23 | 0.20 | 0.08 | 0.25 | 0.60 | 0.17 | 0.94 | 0.24 | 0.49 | 0.04 | 0.13 | 0.27 | 0.07 | 0.39 | 0.42 | 269 |
USA_University of Miami | 0.96 | 0.94 | 0.31 | 0.64 | 0.70 | 0.58 | 0.88 | 0.77 | 0.48 | 0.70 | 0.77 | 0.66 | 0.38 | 0.67 | 0.63 | 0.90 | 0.97 | 0.38 | 0.65 | 0.29 | 0.73 | 109 |
USA_Columbia University | 0.96 | 0.99 | 0.68 | 0.99 | 0.99 | 0.84 | 0.93 | 0.97 | 0.68 | 0.98 | 0.81 | 0.96 | 0.51 | 0.98 | 0.84 | 0.89 | 0.96 | 0.25 | 0.83 | 0.62 | 0.90 | 13 |
USA_University of Chicago | 0.96 | 0.97 | 0.71 | 0.96 | 0.98 | 0.99 | 0.56 | 0.99 | 0.93 | 0.99 | 0.81 | 0.83 | 0.50 | 0.99 | 0.80 | 0.96 | 0.98 | 0.56 | 0.83 | 0.38 | 0.89 | 15 |
China_Southern Medical University - China | 0.96 | 0.93 | 0.44 | 0.77 | 0.24 | 0.39 | 0.87 | 0.37 | 0.37 | 0.00 | 0.11 | 0.31 | 0.08 | 0.08 | 0.13 | 0.30 | 0.72 | 0.34 | 0.56 | 0.70 | 0.50 | 230 |
Japan_University of Yamanashi | 0.96 | 0.90 | 0.26 | 0.50 | 0.19 | 0.39 | 0.89 | 0.25 | 0.38 | 0.47 | 0.20 | 0.21 | 0.14 | 0.18 | 0.17 | 0.53 | 0.86 | 0.75 | 0.33 | 0.18 | 0.52 | 225 |
Denmark_Technical University of Denmark | 0.96 | 0.94 | 0.61 | 0.88 | 0.79 | 0.82 | 0.55 | 0.80 | 0.76 | 0.82 | 0.96 | 0.84 | 0.91 | 0.84 | 0.91 | 0.56 | 0.87 | 0.18 | 0.91 | 0.99 | 0.83 | 36 |
Italy_Scuola Normale Superiore di Pisa | 0.95 | 0.97 | 0.97 | 0.99 | 0.73 | 1.00 | 0.38 | 0.98 | 0.99 | 0.67 | 0.16 | 0.53 | 0.96 | 0.72 | 0.60 | 0.76 | 0.93 | 0.98 | 0.31 | 0.20 | 0.80 | 52 |
Saudi Arabia_King Fahd University of Petroleum and Minerals | 0.95 | 0.94 | 0.15 | 0.38 | 0.70 | 0.47 | 0.47 | 0.46 | 0.50 | 0.68 | 0.99 | 0.59 | 0.79 | 0.26 | 0.67 | 0.85 | 0.94 | 0.63 | 0.50 | 0.18 | 0.68 | 130 |
Iran_Tehran University of Medical Sciences | 0.95 | 0.99 | 0.92 | 1.00 | 0.72 | 0.45 | 0.29 | 0.34 | 0.53 | 0.61 | 0.04 | 0.36 | 0.11 | 0.64 | 0.28 | 0.96 | 0.98 | 0.64 | 0.52 | 0.12 | 0.69 | 124 |
Japan_Gifu University | 0.95 | 0.89 | 0.31 | 0.56 | 0.29 | 0.36 | 0.88 | 0.16 | 0.44 | 0.20 | 0.55 | 0.24 | 0.16 | 0.48 | 0.35 | 0.21 | 0.54 | 0.86 | 0.28 | 0.36 | 0.46 | 248 |
Russia_Saint Petersburg State University | 0.94 | 0.93 | 0.38 | 0.72 | 0.88 | 0.30 | 0.20 | 0.23 | 0.37 | 0.83 | 0.34 | 0.58 | 0.52 | 0.78 | 0.56 | 0.20 | 0.50 | 0.49 | 0.46 | 0.77 | 0.61 | 160 |
Japan_Osaka University | 0.94 | 0.91 | 0.57 | 0.83 | 0.91 | 0.68 | 0.51 | 0.33 | 0.75 | 0.92 | 0.49 | 0.54 | 0.27 | 0.84 | 0.54 | 0.59 | 0.86 | 0.33 | 0.82 | 0.83 | 0.75 | 83 |
USA_Washington University in St. Louis | 0.94 | 0.95 | 0.86 | 0.96 | 0.93 | 0.94 | 0.66 | 0.97 | 0.85 | 0.93 | 0.69 | 0.76 | 0.30 | 0.91 | 0.68 | 0.96 | 0.97 | 0.40 | 0.85 | 0.48 | 0.93 | 7 |
Japan_Tokyo Institute of Technology | 0.94 | 0.95 | 0.62 | 0.92 | 0.93 | 0.76 | 0.54 | 0.35 | 0.85 | 0.92 | 0.52 | 0.60 | 0.37 | 0.91 | 0.61 | 0.43 | 0.78 | 0.35 | 0.86 | 0.96 | 0.79 | 59 |
Japan_Kumamoto University | 0.93 | 0.87 | 0.31 | 0.53 | 0.33 | 0.41 | 0.70 | 0.25 | 0.44 | 0.47 | 0.25 | 0.36 | 0.22 | 0.56 | 0.34 | 0.59 | 0.85 | 0.60 | 0.47 | 0.32 | 0.52 | 224 |
Saudi Arabia_King Abdulaziz University | 0.93 | 0.52 | 0.41 | 0.45 | 0.66 | 0.50 | 0.10 | 0.99 | 0.33 | 0.57 | 0.95 | 0.79 | 0.99 | 0.56 | 0.84 | 0.90 | 0.95 | 0.36 | 0.52 | 0.25 | 0.74 | 101 |
Japan_Okayama University | 0.93 | 0.86 | 0.33 | 0.54 | 0.46 | 0.53 | 0.44 | 0.34 | 0.54 | 0.51 | 0.32 | 0.41 | 0.29 | 0.64 | 0.41 | 0.48 | 0.79 | 0.74 | 0.43 | 0.34 | 0.59 | 177 |
Russia_Tver State Technical University | 0.93 | 0.71 | 0.19 | 0.28 | 0.09 | 0.10 | 0.14 | 0.06 | 0.10 | 0.00 | 0.00 | 0.67 | 0.48 | 0.08 | 0.30 | 0.06 | 0.15 | 0.22 | 0.11 | 0.27 | 0.29 | 339 |
United Arab Emirates_Khalifa University | 0.93 | 0.95 | 0.16 | 0.40 | 0.13 | 0.63 | 0.99 | 0.54 | 0.65 | 0.20 | 1.00 | 0.88 | 0.97 | 0.28 | 0.79 | 0.26 | 0.56 | 0.99 | 0.07 | 0.05 | 0.73 | 107 |
Russia_National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) | 0.92 | 0.97 | 0.47 | 0.89 | 0.72 | 0.65 | 0.59 | 0.65 | 0.68 | 0.69 | 0.74 | 0.82 | 0.65 | 0.43 | 0.67 | 0.47 | 0.78 | 0.23 | 0.85 | 0.90 | 0.77 | 74 |
Russia_Kursk State Medical University | 0.92 | 0.97 | 0.35 | 0.79 | 0.00 | 0.06 | 0.55 | 0.11 | 0.05 | 0.00 | 0.04 | 0.96 | 0.19 | 0.08 | 0.31 | 0.06 | 0.14 | 0.20 | 0.06 | 0.09 | 0.28 | 341 |
France_Ecole Normale Superieure, Lyon | 0.92 | 0.94 | 0.66 | 0.91 | 0.60 | 0.98 | 0.34 | 0.71 | 0.97 | 0.51 | 0.64 | 0.59 | 0.86 | 0.35 | 0.62 | 0.65 | 0.87 | 0.80 | 0.73 | 0.75 | 0.77 | 71 |
Belarus_Belarusian State University | 0.91 | 0.54 | 0.08 | 0.09 | 0.40 | 0.23 | 0.08 | 0.89 | 0.14 | 0.31 | 0.49 | 0.46 | 0.98 | 0.43 | 0.60 | 0.09 | 0.19 | 0.15 | 0.27 | 0.78 | 0.39 | 291 |
USA_University of Michigan | 0.91 | 0.86 | 0.69 | 0.85 | 0.99 | 0.85 | 0.62 | 0.89 | 0.78 | 0.99 | 0.74 | 0.71 | 0.38 | 0.98 | 0.72 | 0.83 | 0.92 | 0.35 | 0.82 | 0.68 | 0.86 | 30 |
Ukraine_National Technical University Kharkiv Polytechnic Institute | 0.91 | 0.81 | 0.12 | 0.20 | 0.19 | 0.08 | 0.34 | 0.08 | 0.08 | 0.35 | 0.08 | 0.47 | 0.63 | 0.21 | 0.34 | 0.02 | 0.05 | 0.61 | 0.04 | 0.21 | 0.35 | 310 |
China_Guangzhou Medical University | 0.90 | 0.96 | 0.12 | 0.35 | 0.00 | 0.40 | 0.55 | 0.43 | 0.37 | 0.00 | 0.52 | 0.10 | 0.12 | 0.08 | 0.19 | 0.14 | 0.30 | 0.81 | 0.27 | 0.61 | 0.36 | 303 |
Japan_Yamagata University | 0.90 | 0.78 | 0.19 | 0.31 | 0.00 | 0.36 | 0.94 | 0.23 | 0.38 | 0.10 | 0.32 | 0.11 | 0.21 | 0.21 | 0.20 | 0.47 | 0.76 | 0.60 | 0.40 | 0.31 | 0.41 | 274 |
USA_University of Alaska | 0.90 | 0.85 | 0.34 | 0.54 | 0.24 | 0.72 | 0.98 | 0.63 | 0.74 | 0.20 | 0.75 | 0.32 | 0.56 | 0.32 | 0.49 | 0.85 | 0.92 | 0.20 | 0.89 | 0.72 | 0.65 | 148 |
Japan_Osaka City University | 0.89 | 0.80 | 0.38 | 0.57 | 0.24 | 0.41 | 0.72 | 0.22 | 0.47 | 0.25 | 0.43 | 0.21 | 0.20 | 0.38 | 0.30 | 0.67 | 0.85 | 0.76 | 0.38 | 0.18 | 0.49 | 236 |
Argentina_Austral University (Argentina) | 0.89 | 0.96 | 0.05 | 0.14 | 0.19 | 0.14 | 0.73 | 0.31 | 0.11 | 0.35 | 0.32 | 0.38 | 0.57 | 0.48 | 0.44 | 0.14 | 0.29 | 0.88 | 0.05 | 0.04 | 0.39 | 286 |
USA_Rice University | 0.89 | 0.86 | 0.68 | 0.84 | 0.85 | 0.90 | 0.58 | 0.98 | 0.79 | 0.84 | 0.79 | 0.88 | 0.59 | 0.86 | 0.80 | 0.88 | 0.93 | 0.50 | 0.75 | 0.49 | 0.92 | 8 |
Russia_Perm National Research Polytechnic University | 0.88 | 0.75 | 0.13 | 0.20 | 0.09 | 0.09 | 0.13 | 0.03 | 0.13 | 0.10 | 0.06 | 0.39 | 0.04 | 0.08 | 0.13 | 0.15 | 0.30 | 0.04 | 0.59 | 0.94 | 0.30 | 330 |
Sweden_Karolinska Institute | 0.88 | 0.88 | 0.80 | 0.92 | 0.92 | 0.99 | 0.57 | 0.91 | 0.98 | 0.93 | 0.72 | 0.77 | 0.95 | 0.95 | 0.87 | 0.84 | 0.91 | 0.32 | 0.97 | 1.00 | 1.00 | 1 |
Russia_Kazan National Research Technical University named after A.N. Tupolev | 0.87 | 0.73 | 0.17 | 0.27 | 0.19 | 0.09 | 0.15 | 0.06 | 0.12 | 0.10 | 0.27 | 0.48 | 0.15 | 0.18 | 0.26 | 0.20 | 0.42 | 0.05 | 0.47 | 0.74 | 0.32 | 318 |
USA_University of Vermont | 0.87 | 0.71 | 0.45 | 0.58 | 0.29 | 0.57 | 0.80 | 0.72 | 0.50 | 0.20 | 0.23 | 0.35 | 0.34 | 0.26 | 0.29 | 0.63 | 0.82 | 0.70 | 0.43 | 0.26 | 0.56 | 202 |
Taiwan_National Central University | 0.87 | 0.88 | 0.31 | 0.56 | 0.36 | 0.40 | 0.31 | 0.35 | 0.39 | 0.31 | 0.56 | 0.50 | 0.48 | 0.38 | 0.48 | 0.29 | 0.54 | 0.15 | 0.73 | 1.00 | 0.60 | 173 |
India_Indian Institute of Science Education and Research, Pune | 0.87 | 0.98 | 0.60 | 0.96 | 0.19 | 0.74 | 0.18 | 0.82 | 0.70 | 0.15 | 0.10 | 0.00 | 0.46 | 0.08 | 0.15 | 0.66 | 0.84 | 0.30 | 0.81 | 0.91 | 0.65 | 150 |
USA_Tufts University | 0.87 | 0.93 | 0.93 | 0.97 | 0.74 | 0.84 | 0.93 | 0.93 | 0.75 | 0.72 | 0.53 | 0.58 | 0.47 | 0.78 | 0.60 | 0.85 | 0.91 | 0.51 | 0.72 | 0.51 | 0.81 | 48 |
India_Indian Institute of Science | 0.86 | 0.99 | 0.97 | 1.00 | 0.84 | 0.94 | 0.48 | 0.28 | 0.99 | 0.85 | 0.07 | 0.08 | 0.25 | 0.80 | 0.30 | 0.91 | 0.93 | 0.37 | 0.97 | 0.86 | 0.73 | 110 |
Pakistan_Institute of Space Technology | 0.86 | 0.92 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.00 | 0.01 | 0.00 | 0.00 | 0.00 | 1.00 | 0.08 | 0.26 | 0.18 | 0.35 | 0.01 | 0.13 | 0.17 | 0.24 | 353 |
Republic of Korea_Hallym University | 0.86 | 0.59 | 0.13 | 0.16 | 0.00 | 0.44 | 0.36 | 0.15 | 0.60 | 0.00 | 0.26 | 0.27 | 0.05 | 0.08 | 0.15 | 0.34 | 0.60 | 0.84 | 0.37 | 0.41 | 0.39 | 292 |
Slovakia_Comenius University in Bratislava | 0.85 | 0.91 | 0.38 | 0.68 | 0.43 | 0.35 | 0.64 | 0.45 | 0.31 | 0.20 | 0.26 | 0.61 | 0.87 | 0.38 | 0.54 | 0.13 | 0.24 | 0.55 | 0.37 | 0.81 | 0.55 | 206 |
USA_University of North Carolina | 0.85 | 0.90 | 0.74 | 0.91 | 0.95 | 0.77 | 0.23 | 0.90 | 0.65 | 0.95 | 0.50 | 0.41 | 0.33 | 0.95 | 0.55 | 0.82 | 0.90 | 0.23 | 0.83 | 0.73 | 0.73 | 104 |
Russia_Magnitogorsk State Technical University | 0.84 | 0.83 | 0.04 | 0.05 | 0.00 | 0.05 | 0.04 | 0.03 | 0.06 | 0.00 | 0.00 | 0.19 | 0.07 | 0.08 | 0.07 | 0.06 | 0.12 | 0.05 | 0.16 | 0.47 | 0.19 | 370 |
Sweden_University of Gothenburg | 0.84 | 0.51 | 0.35 | 0.37 | 0.71 | 0.80 | 0.97 | 0.89 | 0.67 | 0.74 | 0.59 | 0.57 | 0.80 | 0.79 | 0.70 | 0.42 | 0.67 | 0.26 | 0.82 | 0.97 | 0.73 | 111 |
USA_Drexel University | 0.84 | 0.64 | 0.76 | 0.79 | 0.60 | 0.56 | 0.82 | 0.81 | 0.42 | 0.57 | 0.64 | 0.73 | 0.29 | 0.66 | 0.59 | 0.60 | 0.80 | 0.64 | 0.42 | 0.29 | 0.72 | 112 |
USA_University of Wisconsin - Madison | 0.84 | 0.75 | 0.80 | 0.85 | 0.97 | 0.73 | 0.84 | 0.87 | 0.64 | 0.97 | 0.59 | 0.58 | 0.38 | 0.97 | 0.64 | 0.74 | 0.87 | 0.25 | 0.81 | 0.80 | 0.89 | 14 |
USA_University of New Mexico | 0.84 | 0.68 | 0.59 | 0.69 | 0.53 | 0.59 | 0.85 | 0.77 | 0.49 | 0.51 | 0.39 | 0.30 | 0.46 | 0.38 | 0.38 | 0.88 | 0.92 | 0.61 | 0.51 | 0.16 | 0.68 | 133 |
Tunisia_Universite de Tunis El Manar | 0.83 | 0.89 | 0.62 | 0.84 | 0.19 | 0.22 | 0.08 | 0.16 | 0.24 | 0.20 | 0.32 | 0.10 | 0.77 | 0.53 | 0.43 | 0.02 | 0.04 | 0.79 | 0.19 | 0.88 | 0.39 | 287 |
Malaysia_Universiti Kebangsaan Malaysia | 0.83 | 0.61 | 0.76 | 0.78 | 0.76 | 0.28 | 0.58 | 0.34 | 0.28 | 0.78 | 0.69 | 0.64 | 0.46 | 0.67 | 0.62 | 0.66 | 0.82 | 0.51 | 0.35 | 0.34 | 0.67 | 134 |
Thailand_Mahidol University | 0.83 | 0.83 | 0.25 | 0.40 | 0.68 | 0.37 | 0.33 | 0.34 | 0.36 | 0.66 | 0.53 | 0.21 | 0.71 | 0.35 | 0.45 | 0.95 | 0.96 | 0.24 | 0.63 | 0.12 | 0.57 | 193 |
Republic of Korea_Korea Advanced Institute of Science and Technology (KAIST) | 0.83 | 0.95 | 0.96 | 0.98 | 0.93 | 0.88 | 0.75 | 0.54 | 0.93 | 0.95 | 0.58 | 0.43 | 0.23 | 0.90 | 0.54 | 0.93 | 0.95 | 0.08 | 0.99 | 0.98 | 0.84 | 34 |
Ukraine_Kharkiv National University of Radio Electronics | 0.83 | 0.58 | 0.14 | 0.17 | 0.13 | 0.07 | 0.13 | 0.21 | 0.05 | 0.31 | 0.04 | 0.47 | 0.59 | 0.08 | 0.29 | 0.03 | 0.05 | 0.43 | 0.04 | 0.10 | 0.32 | 325 |
Spain_University of Valladolid | 0.83 | 1.00 | 0.17 | 0.99 | 0.09 | 0.26 | 0.12 | 0.25 | 0.24 | 0.15 | 0.29 | 0.28 | 0.47 | 0.48 | 0.38 | 0.15 | 0.24 | 0.91 | 0.12 | 0.19 | 0.45 | 253 |
UK_University College London | 0.82 | 0.84 | 0.80 | 0.90 | 0.97 | 0.90 | 0.86 | 0.94 | 0.84 | 0.97 | 0.92 | 0.99 | 0.88 | 0.98 | 0.97 | 0.66 | 0.82 | 0.67 | 0.69 | 0.82 | 0.97 | 3 |
Russia_Altai State University | 0.82 | 0.93 | 0.12 | 0.29 | 0.09 | 0.12 | 0.60 | 0.18 | 0.12 | 0.10 | 0.36 | 0.61 | 0.57 | 0.08 | 0.40 | 0.08 | 0.14 | 0.17 | 0.19 | 0.47 | 0.39 | 293 |
Russia_Far Eastern Federal University | 0.82 | 0.77 | 0.16 | 0.25 | 0.13 | 0.17 | 0.11 | 0.11 | 0.20 | 0.31 | 0.62 | 0.74 | 0.33 | 0.21 | 0.47 | 0.37 | 0.60 | 0.35 | 0.30 | 0.24 | 0.43 | 259 |
Ukraine_Sumy State University | 0.82 | 0.44 | 0.26 | 0.26 | 0.46 | 0.13 | 0.69 | 0.13 | 0.11 | 0.51 | 0.04 | 0.60 | 0.89 | 0.43 | 0.49 | 0.04 | 0.06 | 0.38 | 0.11 | 0.43 | 0.42 | 265 |
Spain_University of Zaragoza | 0.82 | 0.77 | 0.67 | 0.80 | 0.36 | 0.42 | 0.83 | 0.43 | 0.36 | 0.40 | 0.13 | 0.33 | 0.57 | 0.43 | 0.36 | 0.15 | 0.25 | 0.89 | 0.22 | 0.41 | 0.57 | 194 |
USA_State University of New York, Stony Brook | 0.82 | 0.70 | 0.63 | 0.72 | 0.68 | 0.60 | 0.59 | 0.82 | 0.50 | 0.74 | 0.78 | 0.81 | 0.55 | 0.75 | 0.73 | 0.63 | 0.80 | 0.56 | 0.53 | 0.41 | 0.71 | 117 |
Switzerland_USI - Universita della Svizzera italiana | 0.81 | 0.87 | 0.45 | 0.71 | 0.00 | 0.94 | 0.94 | 0.86 | 0.93 | 0.31 | 0.99 | 1.00 | 0.94 | 0.24 | 0.81 | 0.42 | 0.66 | 0.89 | 0.54 | 0.74 | 0.78 | 63 |
Iraq_Mustansiriyah University | 0.81 | 0.68 | 0.16 | 0.22 | 0.13 | 0.05 | 0.70 | 0.17 | 0.03 | 0.15 | 0.05 | 0.02 | 0.91 | 0.08 | 0.26 | 0.12 | 0.18 | 0.92 | 0.01 | 0.01 | 0.32 | 319 |
Malaysia_Universiti Sains Malaysia | 0.81 | 0.76 | 0.77 | 0.85 | 0.82 | 0.40 | 0.44 | 0.29 | 0.46 | 0.81 | 0.61 | 0.63 | 0.58 | 0.56 | 0.60 | 0.52 | 0.72 | 0.80 | 0.34 | 0.20 | 0.66 | 145 |
Russia_Kazan Federal University | 0.80 | 0.58 | 0.36 | 0.43 | 0.65 | 0.22 | 0.76 | 0.27 | 0.21 | 0.57 | 0.50 | 0.60 | 0.58 | 0.28 | 0.49 | 0.19 | 0.33 | 0.36 | 0.31 | 0.57 | 0.52 | 221 |
Spain_Polytechnic University of Catalonia | 0.80 | 0.74 | 0.40 | 0.54 | 0.68 | 0.33 | 0.37 | 0.34 | 0.36 | 0.69 | 0.31 | 0.66 | 0.67 | 0.68 | 0.59 | 0.22 | 0.38 | 0.73 | 0.32 | 0.54 | 0.61 | 165 |
China_Jilin University | 0.80 | 0.82 | 0.49 | 0.68 | 0.24 | 0.43 | 0.43 | 0.39 | 0.41 | 0.20 | 0.30 | 0.18 | 0.09 | 0.32 | 0.21 | 0.31 | 0.51 | 0.51 | 0.51 | 0.65 | 0.46 | 249 |
USA_Brown University | 0.80 | 0.72 | 0.80 | 0.84 | 0.90 | 0.97 | 0.43 | 0.92 | 0.96 | 0.91 | 0.76 | 0.76 | 0.36 | 0.91 | 0.71 | 0.93 | 0.94 | 0.73 | 0.75 | 0.39 | 0.89 | 16 |
Lithuania_Vilnius University | 0.80 | 0.79 | 0.25 | 0.39 | 0.40 | 0.35 | 0.50 | 0.48 | 0.30 | 0.31 | 0.61 | 0.45 | 0.71 | 0.43 | 0.55 | 0.13 | 0.20 | 0.40 | 0.43 | 0.91 | 0.47 | 246 |
Russia_Ural Federal University | 0.79 | 0.40 | 0.17 | 0.16 | 0.58 | 0.21 | 0.13 | 0.09 | 0.25 | 0.40 | 0.72 | 0.47 | 0.30 | 0.43 | 0.48 | 0.17 | 0.30 | 0.29 | 0.42 | 0.78 | 0.43 | 262 |
China_Zhejiang University | 0.79 | 0.77 | 0.90 | 0.92 | 0.80 | 0.92 | 0.48 | 0.55 | 0.95 | 0.78 | 0.72 | 0.72 | 0.23 | 0.70 | 0.60 | 0.98 | 0.98 | 0.06 | 0.99 | 0.88 | 0.86 | 26 |
Russia_Voronezh State University | 0.79 | 0.63 | 0.21 | 0.27 | 0.19 | 0.13 | 0.19 | 0.07 | 0.16 | 0.31 | 0.23 | 0.48 | 0.19 | 0.43 | 0.33 | 0.07 | 0.12 | 0.66 | 0.12 | 0.31 | 0.32 | 321 |
USA_University of Washington | 0.77 | 0.70 | 0.73 | 0.80 | 0.97 | 0.89 | 0.31 | 0.97 | 0.78 | 0.97 | 0.73 | 0.67 | 0.43 | 0.96 | 0.71 | 0.94 | 0.94 | 0.22 | 0.89 | 0.63 | 0.88 | 20 |
Taiwan_National Taiwan University | 0.77 | 0.87 | 0.55 | 0.78 | 0.91 | 0.77 | 0.61 | 0.44 | 0.84 | 0.91 | 0.59 | 0.52 | 0.35 | 0.85 | 0.58 | 0.55 | 0.72 | 0.30 | 0.88 | 0.95 | 0.78 | 64 |
Russia_Moscow Institute of Physics and Technology | 0.77 | 0.79 | 0.66 | 0.79 | 0.88 | 0.65 | 0.29 | 0.48 | 0.72 | 0.84 | 0.74 | 0.66 | 0.65 | 0.70 | 0.70 | 0.70 | 0.82 | 0.36 | 0.79 | 0.86 | 0.80 | 56 |
USA_Rutgers the State University of New Jersey | 0.76 | 0.63 | 0.74 | 0.77 | 0.89 | 0.64 | 0.89 | 0.72 | 0.59 | 0.89 | 0.56 | 0.69 | 0.43 | 0.90 | 0.65 | 0.81 | 0.88 | 0.32 | 0.73 | 0.48 | 0.75 | 90 |
Colombia_Universidad Pontificia Bolivariana de Medellin-Colombia | 0.76 | 0.95 | 0.05 | 0.12 | 0.24 | 0.13 | 0.15 | 0.30 | 0.10 | 0.60 | 0.16 | 0.09 | 0.84 | 0.60 | 0.42 | 0.25 | 0.41 | 0.12 | 0.20 | 0.18 | 0.39 | 288 |
Russia_National Research University of Electronic Technology (MIET) | 0.76 | 0.60 | 0.19 | 0.24 | 0.29 | 0.12 | 0.12 | 0.04 | 0.17 | 0.31 | 0.23 | 0.24 | 0.21 | 0.56 | 0.31 | 0.41 | 0.60 | 0.04 | 0.79 | 0.91 | 0.39 | 290 |
Russia_Novosibirsk State Technical University | 0.76 | 0.69 | 0.10 | 0.14 | 0.43 | 0.15 | 0.07 | 0.10 | 0.16 | 0.47 | 0.17 | 0.75 | 0.29 | 0.43 | 0.41 | 0.10 | 0.14 | 0.39 | 0.21 | 0.49 | 0.34 | 314 |
Russia_Moscow State University of Design and Technology (MSUDT) | 0.75 | 0.55 | 0.09 | 0.11 | 0.09 | 0.04 | 0.26 | 0.01 | 0.10 | 0.00 | 0.13 | 0.40 | 0.02 | 0.21 | 0.18 | 0.07 | 0.11 | 0.59 | 0.07 | 0.10 | 0.23 | 360 |
Russia_Financial University under the Government of the Russian Federation | 0.75 | 0.63 | 0.15 | 0.19 | 0.90 | 0.05 | 0.09 | 0.18 | 0.09 | 0.91 | 0.08 | 0.40 | 0.06 | 0.93 | 0.37 | 0.23 | 0.36 | 0.11 | 0.15 | 0.13 | 0.32 | 322 |
China_East China Normal University | 0.75 | 0.83 | 0.55 | 0.75 | 0.40 | 0.45 | 0.45 | 0.48 | 0.43 | 0.40 | 0.73 | 0.68 | 0.33 | 0.48 | 0.56 | 0.63 | 0.77 | 0.17 | 0.74 | 0.71 | 0.60 | 171 |
Russia_Mordovia State University | 0.75 | 0.60 | 0.12 | 0.15 | 0.29 | 0.09 | 0.13 | 0.08 | 0.09 | 0.51 | 0.09 | 0.52 | 0.05 | 0.43 | 0.26 | 0.10 | 0.14 | 0.12 | 0.14 | 0.28 | 0.26 | 348 |
Estonia_University of Tartu | 0.74 | 0.76 | 0.50 | 0.65 | 0.63 | 0.59 | 0.00 | 0.75 | 0.48 | 0.57 | 0.47 | 0.42 | 0.90 | 0.60 | 0.60 | 0.38 | 0.56 | 0.50 | 0.56 | 0.86 | 0.58 | 185 |
USA_University of Iowa | 0.74 | 0.60 | 0.78 | 0.79 | 0.86 | 0.62 | 0.65 | 0.77 | 0.55 | 0.85 | 0.66 | 0.56 | 0.35 | 0.84 | 0.61 | 0.92 | 0.93 | 0.30 | 0.73 | 0.38 | 0.74 | 94 |
Russia_Mendeleyev University of Chemical Technology | 0.74 | 0.83 | 0.37 | 0.56 | 0.40 | 0.19 | 0.54 | 0.06 | 0.27 | 0.35 | 0.04 | 0.16 | 0.04 | 0.21 | 0.09 | 0.18 | 0.27 | 0.34 | 0.42 | 0.72 | 0.39 | 289 |
Russia_Bashkir State University | 0.73 | 0.66 | 0.19 | 0.26 | 0.13 | 0.15 | 0.42 | 0.08 | 0.16 | 0.10 | 0.03 | 0.20 | 0.06 | 0.08 | 0.08 | 0.07 | 0.11 | 0.53 | 0.16 | 0.43 | 0.28 | 344 |
Russia_Volgograd State University | 0.73 | 0.50 | 0.18 | 0.20 | 0.00 | 0.10 | 0.39 | 0.03 | 0.12 | 0.00 | 0.14 | 0.19 | 0.08 | 0.08 | 0.11 | 0.07 | 0.11 | 0.55 | 0.09 | 0.19 | 0.20 | 366 |
Hungary_University of Debrecen | 0.73 | 0.90 | 0.20 | 0.40 | 0.19 | 0.32 | 0.29 | 0.55 | 0.26 | 0.00 | 0.43 | 0.72 | 0.72 | 0.18 | 0.51 | 0.41 | 0.58 | 0.52 | 0.33 | 0.26 | 0.45 | 252 |
UK_London School of Economics and Political Science | 0.73 | 0.75 | 0.50 | 0.64 | 0.97 | 0.47 | 0.99 | 0.79 | 0.56 | 0.96 | 0.98 | 1.00 | 0.65 | 0.97 | 0.92 | 0.64 | 0.77 | 0.77 | 0.41 | 0.25 | 0.84 | 33 |
Russia_Tomsk State University | 0.72 | 0.88 | 0.82 | 0.93 | 0.73 | 0.45 | 0.89 | 0.43 | 0.52 | 0.70 | 0.86 | 0.89 | 0.70 | 0.60 | 0.78 | 0.32 | 0.49 | 0.38 | 0.67 | 0.92 | 0.75 | 93 |
South Africa_University of Cape Town | 0.72 | 0.71 | 0.40 | 0.53 | 0.78 | 0.71 | 0.38 | 0.80 | 0.68 | 0.77 | 0.82 | 0.71 | 0.95 | 0.75 | 0.82 | 0.58 | 0.72 | 0.43 | 0.73 | 0.71 | 0.77 | 72 |
USA_American University | 0.72 | 0.75 | 0.86 | 0.90 | 0.46 | 0.33 | 0.45 | 0.98 | 0.25 | 0.31 | 0.40 | 0.57 | 0.17 | 0.48 | 0.40 | 0.65 | 0.78 | 0.75 | 0.22 | 0.07 | 0.60 | 174 |
Russia_Plekhanov Russian University of Economics | 0.72 | 0.28 | 0.32 | 0.26 | 0.19 | 0.06 | 0.47 | 0.07 | 0.07 | 0.25 | 0.44 | 0.43 | 0.10 | 0.26 | 0.30 | 0.24 | 0.35 | 0.09 | 0.11 | 0.08 | 0.28 | 342 |
USA_University of California, Davis | 0.72 | 0.49 | 0.67 | 0.63 | 0.94 | 0.78 | 0.69 | 0.82 | 0.71 | 0.95 | 0.76 | 0.62 | 0.50 | 0.95 | 0.72 | 0.93 | 0.93 | 0.29 | 0.83 | 0.49 | 0.82 | 41 |
Republic of Korea_Gwangju Institute of Science and Technology | 0.71 | 0.98 | 0.94 | 0.99 | 0.19 | 0.93 | 0.19 | 0.41 | 0.98 | 0.40 | 0.44 | 0.31 | 0.40 | 0.08 | 0.30 | 0.95 | 0.94 | 0.21 | 0.99 | 0.87 | 0.76 | 79 |
Poland_Lodz University of Technology | 0.71 | 0.74 | 0.13 | 0.20 | 0.13 | 0.26 | 0.17 | 0.16 | 0.32 | 0.15 | 0.15 | 0.22 | 0.22 | 0.08 | 0.16 | 0.19 | 0.27 | 0.81 | 0.25 | 0.34 | 0.32 | 324 |
Sweden_Lund University | 0.71 | 0.91 | 0.53 | 0.80 | 0.88 | 0.85 | 0.78 | 0.81 | 0.82 | 0.88 | 0.72 | 0.73 | 0.91 | 0.87 | 0.83 | 0.48 | 0.63 | 0.24 | 0.90 | 0.98 | 0.86 | 27 |
Republic of Korea_Yonsei University | 0.70 | 0.33 | 0.81 | 0.68 | 0.89 | 0.88 | 0.40 | 0.45 | 0.93 | 0.88 | 0.67 | 0.71 | 0.16 | 0.77 | 0.58 | 0.98 | 0.97 | 0.34 | 0.92 | 0.35 | 0.66 | 144 |
USA_Brandeis University | 0.70 | 0.32 | 0.50 | 0.43 | 0.36 | 0.80 | 0.66 | 1.00 | 0.51 | 0.31 | 0.55 | 0.86 | 0.51 | 0.48 | 0.61 | 0.78 | 0.84 | 0.37 | 0.67 | 0.51 | 0.61 | 159 |
Taiwan_Chang Gung University | 0.70 | 0.71 | 0.34 | 0.47 | 0.33 | 0.61 | 0.43 | 0.22 | 0.82 | 0.44 | 0.27 | 0.27 | 0.11 | 0.53 | 0.29 | 0.57 | 0.70 | 0.70 | 0.66 | 0.85 | 0.58 | 190 |
Russia_Northern (Arctic) Federal University (NArFU) | 0.69 | 0.42 | 0.23 | 0.21 | 0.00 | 0.07 | 0.62 | 0.05 | 0.09 | 0.00 | 0.20 | 0.23 | 0.04 | 0.08 | 0.12 | 0.12 | 0.15 | 0.07 | 0.18 | 0.35 | 0.22 | 361 |
Azerbaijan_Baku State University | 0.69 | 0.54 | 0.15 | 0.17 | 0.13 | 0.10 | 0.22 | 0.09 | 0.10 | 0.31 | 0.23 | 0.13 | 0.71 | 0.43 | 0.37 | 0.02 | 0.03 | 0.56 | 0.07 | 0.62 | 0.33 | 316 |
Thailand_Thammasat University | 0.69 | 0.43 | 0.10 | 0.10 | 0.29 | 0.16 | 0.92 | 0.21 | 0.15 | 0.25 | 0.57 | 0.09 | 0.45 | 0.21 | 0.32 | 0.58 | 0.70 | 0.07 | 0.45 | 0.30 | 0.38 | 297 |
China_Renmin University of China | 0.69 | 0.80 | 0.79 | 0.88 | 0.36 | 0.26 | 0.58 | 0.43 | 0.25 | 0.40 | 0.48 | 0.32 | 0.45 | 0.32 | 0.39 | 0.67 | 0.77 | 0.34 | 0.38 | 0.18 | 0.52 | 223 |
USA_Ohio State University | 0.69 | 0.48 | 0.78 | 0.73 | 0.94 | 0.71 | 0.71 | 0.84 | 0.63 | 0.94 | 0.84 | 0.59 | 0.41 | 0.94 | 0.71 | 0.94 | 0.94 | 0.33 | 0.75 | 0.34 | 0.82 | 39 |
UK_Kings College London | 0.69| 0.61| 0.73| 0.76| 0.94| 0.86| 0.93| 0.96| 0.78| 0.94| 0.92| 0.97| 0.84| 0.95| 0.95| 0.61| 0.72| 0.74| 0.59| 0.67| 0.91| 12| |Hungary_University of Szeged | 0.68| 0.85| 0.32| 0.52| 0.29| 0.38| 0.38| 0.49| 0.34| 0.20| 0.39| 0.67| 0.64| 0.24| 0.49| 0.41| 0.57| 0.71| 0.31| 0.24| 0.47| 244| |Russia_Saint-Petersburg State Electotechnical University ``LETI`` | 0.68| 0.80| 0.20| 0.34| 0.49| 0.14| 0.46| 0.07| 0.17| 0.40| 0.05| 0.73| 0.23| 0.53| 0.38| 0.17| 0.23| 0.11| 0.42| 0.80| 0.43| 260| |Norway_University of Bergen | 0.68| 0.89| 0.51| 0.77| 0.65| 0.85| 0.49| 0.90| 0.79| 0.64| 0.80| 0.62| 0.94| 0.64| 0.77| 0.56| 0.68| 0.78| 0.56| 0.58| 0.77| 75| |Russia_Samara University | 0.68| 0.65| 0.09| 0.12| 0.19| 0.16| 0.09| 0.07| 0.16| 0.25| 0.05| 0.14| 0.21| 0.35| 0.18| 0.10| 0.13| 0.38| 0.21| 0.53| 0.26| 351| |UK_St George s University of London |
0.68 | 0.40 | 0.41 | 0.38 | 0.33 | 0.97 | 0.97 | 0.97 | 0.94 | 0.31 | 0.70 | 0.79 | 0.69 | 0.43 | 0.66 | 0.55 | 0.67 | 0.92 | 0.51 | 0.46 | 0.71 | 116 |
Austria_University of Innsbruck | 0.68 | 0.76 | 0.56 | 0.72 | 0.46 | 0.60 | 0.20 | 0.75 | 0.49 | 0.40 | 0.93 | 0.97 | 0.96 | 0.38 | 0.83 | 0.33 | 0.46 | 0.66 | 0.46 | 0.66 | 0.73 | 105 |
USA_Worcester Polytechnic Institute | 0.67 | 0.57 | 0.29 | 0.34 | 0.33 | 0.41 | 0.24 | 0.48 | 0.41 | 0.20 | 0.62 | 0.79 | 0.43 | 0.28 | 0.53 | 0.65 | 0.75 | 0.61 | 0.42 | 0.22 | 0.53 | 218 |
UK_University of Edinburgh | 0.67 | 0.64 | 0.75 | 0.78 | 0.95 | 0.84 | 0.74 | 0.97 | 0.69 | 0.94 | 0.89 | 0.96 | 0.87 | 0.95 | 0.94 | 0.64 | 0.75 | 0.58 | 0.66 | 0.75 | 0.91 | 9 |
USA_Northwestern University | 0.67 | 0.84 | 0.96 | 0.96 | 0.96 | 0.97 | 0.65 | 0.97 | 0.94 | 0.96 | 0.79 | 0.75 | 0.36 | 0.96 | 0.73 | 0.97 | 0.96 | 0.35 | 0.93 | 0.64 | 0.91 | 10 |
India_University of Hyderabad | 0.67 | 0.94 | 0.90 | 0.96 | 0.51 | 0.47 | 0.35 | 0.22 | 0.57 | 0.40 | 0.00 | 0.06 | 0.11 | 0.21 | 0.08 | 0.04 | 0.05 | 0.91 | 0.28 | 0.97 | 0.49 | 238 |
Canada_University of Sherbrooke | 0.66 | 0.63 | 0.75 | 0.78 | 0.13 | 0.37 | 0.51 | 0.45 | 0.33 | 0.25 | 0.77 | 0.38 | 0.50 | 0.28 | 0.48 | 0.46 | 0.59 | 0.60 | 0.37 | 0.48 | 0.59 | 180 |
USA_Temple University | 0.66 | 0.55 | 0.85 | 0.81 | 0.66 | 0.49 | 0.99 | 0.79 | 0.41 | 0.68 | 0.32 | 0.46 | 0.37 | 0.76 | 0.48 | 0.59 | 0.69 | 0.31 | 0.63 | 0.50 | 0.62 | 158 |
Tunisia_Universite de la Manouba | 0.65 | 0.72 | 0.24 | 0.35 | 0.00 | 0.17 | 0.04 | 0.16 | 0.17 | 0.00 | 0.14 | 0.07 | 0.83 | 0.08 | 0.27 | 0.05 | 0.07 | 0.98 | 0.03 | 0.03 | 0.35 | 308 |
China_Tongji University | 0.65 | 0.85 | 0.64 | 0.82 | 0.72 | 0.61 | 0.40 | 0.48 | 0.72 | 0.73 | 0.86 | 0.59 | 0.26 | 0.64 | 0.60 | 0.70 | 0.77 | 0.13 | 0.95 | 0.95 | 0.72 | 113 |
Ukraine_South Ukrainian National Pedagogical University named after K.D. Ushynsky | 0.65 | 0.41 | 0.33 | 0.32 | 0.13 | 0.05 | 0.09 | 0.07 | 0.06 | 0.25 | 0.18 | 0.28 | 0.96 | 0.24 | 0.41 | 0.03 | 0.03 | 0.48 | 0.04 | 0.12 | 0.30 | 334 |
China_Nankai University | 0.64 | 0.75 | 0.78 | 0.84 | 0.33 | 0.66 | 0.52 | 0.76 | 0.61 | 0.35 | 0.65 | 0.36 | 0.12 | 0.38 | 0.38 | 0.55 | 0.66 | 0.50 | 0.66 | 0.61 | 0.63 | 153 |
China_Beijing Institute of Technology | 0.64 | 0.82 | 0.60 | 0.76 | 0.53 | 0.52 | 0.27 | 0.52 | 0.56 | 0.51 | 0.12 | 0.41 | 0.13 | 0.72 | 0.34 | 0.73 | 0.79 | 0.07 | 0.97 | 0.97 | 0.58 | 188 |
Japan_Yokohama National University | 0.64 | 0.64 | 0.35 | 0.43 | 0.43 | 0.30 | 0.91 | 0.21 | 0.32 | 0.40 | 0.51 | 0.35 | 0.17 | 0.38 | 0.35 | 0.26 | 0.35 | 0.18 | 0.64 | 0.87 | 0.51 | 229 |
Russia_Belgorod National Research University | 0.64 | 0.31 | 0.30 | 0.25 | 0.19 | 0.15 | 0.15 | 0.32 | 0.14 | 0.15 | 0.21 | 0.72 | 0.52 | 0.08 | 0.38 | 0.14 | 0.16 | 0.08 | 0.35 | 0.73 | 0.31 | 327 |
China_Beijing Jiaotong University | 0.63 | 0.75 | 0.37 | 0.52 | 0.40 | 0.39 | 0.24 | 0.41 | 0.43 | 0.40 | 0.28 | 0.37 | 0.28 | 0.53 | 0.36 | 0.41 | 0.53 | 0.24 | 0.69 | 0.77 | 0.49 | 237 |
France_Sorbonne University | 0.63 | 0.81 | 0.87 | 0.92 | 0.91 | 0.91 | 0.53 | 0.80 | 0.88 | 0.90 | 0.57 | 0.75 | 0.88 | 0.91 | 0.79 | 0.27 | 0.35 | 0.97 | 0.24 | 0.40 | 0.78 | 67 |
UK_University of Southampton | 0.63 | 0.49 | 0.74 | 0.70 | 0.80 | 0.91 | 1.00 | 0.95 | 0.81 | 0.83 | 0.88 | 0.93 | 0.87 | 0.87 | 0.91 | 0.52 | 0.62 | 0.83 | 0.52 | 0.59 | 0.84 | 31 |
USA_Carnegie Mellon University | 0.63 | 0.83 | 0.69 | 0.82 | 0.96 | 0.88 | 0.66 | 0.91 | 0.82 | 0.96 | 0.83 | 0.99 | 0.55 | 0.97 | 0.86 | 0.92 | 0.91 | 0.16 | 0.95 | 0.75 | 0.95 | 4 |
USA_Indiana University | 0.62 | 0.53 | 0.72 | 0.71 | 0.92 | 0.58 | 0.57 | 0.77 | 0.51 | 0.92 | 0.68 | 0.65 | 0.38 | 0.92 | 0.67 | 0.66 | 0.74 | 0.46 | 0.62 | 0.47 | 0.78 | 66 |
UK_University of Manchester | 0.62 | 0.47 | 0.75 | 0.69 | 0.94 | 0.78 | 0.85 | 0.85 | 0.69 | 0.94 | 0.86 | 0.96 | 0.80 | 0.96 | 0.92 | 0.60 | 0.68 | 0.65 | 0.61 | 0.70 | 0.87 | 25 |
China_Jinan University | 0.62 | 0.57 | 0.32 | 0.37 | 0.13 | 0.34 | 0.68 | 0.42 | 0.34 | 0.15 | 0.48 | 0.92 | 0.14 | 0.21 | 0.43 | 0.64 | 0.71 | 0.44 | 0.46 | 0.32 | 0.50 | 231 |
China_Beihang University | 0.62 | 0.75 | 0.64 | 0.75 | 0.53 | 0.55 | 0.32 | 0.54 | 0.68 | 0.51 | 0.51 | 0.35 | 0.20 | 0.56 | 0.40 | 0.75 | 0.80 | 0.13 | 0.94 | 0.90 | 0.66 | 142 |
China_Shandong University | 0.61 | 0.62 | 0.57 | 0.64 | 0.24 | 0.79 | 0.99 | 0.46 | 0.85 | 0.31 | 0.63 | 0.34 | 0.12 | 0.18 | 0.31 | 0.56 | 0.66 | 0.58 | 0.74 | 0.72 | 0.60 | 172 |
UK_University of Liverpool | 0.61 | 0.30 | 0.56 | 0.47 | 0.78 | 0.79 | 0.60 | 0.86 | 0.72 | 0.78 | 0.85 | 0.92 | 0.90 | 0.85 | 0.90 | 0.50 | 0.59 | 0.81 | 0.49 | 0.53 | 0.76 | 80 |
India_Indian Institute of Technology, Kharagpur | 0.61 | 0.96 | 0.81 | 0.96 | 0.71 | 0.75 | 0.18 | 0.31 | 0.00 | 0.72 | 0.52 | 0.04 | 0.00 | 0.60 | 0.28 | 0.58 | 0.66 | 0.00 | 0.74 | 0.78 | 0.58 | 189 |
USA_Northeastern University | 0.61 | 0.47 | 0.84 | 0.77 | 0.55 | 0.69 | 0.74 | 0.91 | 0.57 | 0.54 | 0.75 | 0.94 | 0.57 | 0.64 | 0.74 | 0.79 | 0.82 | 0.59 | 0.57 | 0.29 | 0.72 | 114 |
Spain_Polytechnic University of Madrid | 0.60 | 0.57 | 0.35 | 0.40 | 0.70 | 0.30 | 0.22 | 0.35 | 0.31 | 0.64 | 0.17 | 0.61 | 0.54 | 0.53 | 0.46 | 0.18 | 0.21 | 0.72 | 0.29 | 0.56 | 0.48 | 239 |
UK_University of Bristol | 0.60 | 0.39 | 0.75 | 0.66 | 0.86 | 0.92 | 0.86 | 0.96 | 0.81 | 0.86 | 0.84 | 0.83 | 0.73 | 0.89 | 0.84 | 0.63 | 0.69 | 0.73 | 0.62 | 0.69 | 0.82 | 38 |
China_Wuhan University of Technology | 0.60 | 0.50 | 0.17 | 0.18 | 0.33 | 0.29 | 0.21 | 0.86 | 0.23 | 0.57 | 0.21 | 0.18 | 0.30 | 0.48 | 0.29 | 0.45 | 0.54 | 0.22 | 0.41 | 0.46 | 0.37 | 298 |
Poland_University of Warsaw | 0.59 | 0.88 | 0.27 | 0.49 | 0.65 | 0.39 | 0.43 | 0.63 | 0.30 | 0.60 | 0.42 | 0.50 | 0.70 | 0.60 | 0.56 | 0.26 | 0.32 | 0.23 | 0.55 | 0.79 | 0.58 | 187 |
USA_Florida Institute of Technology | 0.59 | 0.66 | 0.48 | 0.58 | 0.19 | 0.63 | 0.56 | 0.96 | 0.46 | 0.15 | 0.47 | 0.92 | 0.92 | 0.43 | 0.70 | 0.55 | 0.62 | 0.86 | 0.29 | 0.14 | 0.57 | 192 |
USA_University of Utah | 0.58 | 0.55 | 0.77 | 0.76 | 0.79 | 0.77 | 0.95 | 0.77 | 0.70 | 0.81 | 0.31 | 0.43 | 0.31 | 0.81 | 0.47 | 0.96 | 0.94 | 0.43 | 0.74 | 0.28 | 0.73 | 108 |
Russia_Samara State Technical University | 0.58 | 0.57 | 0.11 | 0.14 | 0.13 | 0.11 | 0.15 | 0.06 | 0.12 | 0.15 | 0.05 | 0.12 | 0.02 | 0.24 | 0.09 | 0.13 | 0.14 | 0.10 | 0.26 | 0.58 | 0.24 | 357 |
Iraq_University of Babylon | 0.58 | 0.31 | 0.19 | 0.16 | 0.09 | 0.08 | 0.20 | 0.37 | 0.05 | 0.10 | 0.03 | 0.02 | 0.97 | 0.08 | 0.27 | 0.16 | 0.17 | 0.08 | 0.08 | 0.17 | 0.20 | 369 |
UK_Newcastle University | 0.58 | 0.43 | 0.64 | 0.57 | 0.69 | 0.67 | 0.73 | 0.84 | 0.62 | 0.67 | 0.83 | 0.88 | 0.75 | 0.79 | 0.83 | 0.49 | 0.56 | 0.59 | 0.62 | 0.77 | 0.75 | 87 |
China_Northwest University, Xi’an | 0.57 | 0.61 | 0.30 | 0.37 | 0.53 | 0.38 | 0.33 | 0.47 | 0.34 | 0.35 | 0.12 | 0.19 | 0.10 | 0.67 | 0.26 | 0.27 | 0.33 | 0.63 | 0.36 | 0.57 | 0.44 | 256 |
UK_University of Dundee | 0.57 | 0.51 | 0.48 | 0.50 | 0.61 | 0.67 | 0.83 | 0.94 | 0.49 | 0.51 | 0.76 | 0.78 | 0.71 | 0.69 | 0.75 | 0.48 | 0.56 | 0.47 | 0.60 | 0.79 | 0.70 | 120 |
Macau_University of Macau | 0.57 | 0.62 | 0.53 | 0.60 | 0.24 | 0.54 | 0.28 | 0.67 | 0.62 | 0.35 | 1.00 | 0.94 | 0.39 | 0.43 | 0.70 | 0.84 | 0.83 | 0.52 | 0.66 | 0.40 | 0.65 | 149 |
Spain_University of Navarra | 0.57 | 0.68 | 0.51 | 0.62 | 0.70 | 0.62 | 0.27 | 0.69 | 0.58 | 0.61 | 0.60 | 0.77 | 0.56 | 0.64 | 0.65 | 0.68 | 0.73 | 0.60 | 0.56 | 0.45 | 0.70 | 121 |
USA_East Carolina University | 0.57 | 0.45 | 0.39 | 0.39 | 0.13 | 0.28 | 0.51 | 0.38 | 0.27 | 0.15 | 0.59 | 0.12 | 0.21 | 0.24 | 0.28 | 0.59 | 0.65 | 0.64 | 0.27 | 0.11 | 0.40 | 284 |
China_Northeastern University (China) | 0.56 | 0.67 | 0.45 | 0.55 | 0.13 | 0.34 | 0.34 | 0.39 | 0.44 | 0.40 | 0.79 | 0.24 | 0.12 | 0.53 | 0.42 | 0.58 | 0.65 | 0.11 | 0.86 | 0.87 | 0.51 | 227 |
China_Xiamen University | 0.56 | 0.78 | 0.40 | 0.56 | 0.40 | 0.49 | 0.19 | 0.58 | 0.43 | 0.35 | 0.36 | 0.25 | 0.32 | 0.26 | 0.29 | 0.62 | 0.67 | 0.27 | 0.67 | 0.69 | 0.56 | 199 |
Spain_University of the Basque Country | 0.55 | 0.64 | 0.54 | 0.62 | 0.29 | 0.49 | 0.86 | 0.49 | 0.45 | 0.25 | 0.09 | 0.25 | 0.68 | 0.35 | 0.34 | 0.24 | 0.28 | 0.87 | 0.27 | 0.34 | 0.48 | 240 |
Russia_Tver State University | 0.55 | 1.00 | 0.03 | 0.27 | 0.09 | 0.11 | 0.73 | 0.05 | 0.13 | 0.10 | 0.06 | 0.16 | 0.20 | 0.08 | 0.11 | 0.06 | 0.07 | 0.03 | 0.67 | 1.00 | 0.36 | 305 |
Republic of Korea_Yeungnam University | 0.54 | 0.25 | 0.30 | 0.23 | 0.19 | 0.44 | 0.28 | 0.38 | 0.50 | 0.20 | 0.56 | 0.29 | 0.27 | 0.30 | 0.35 | 0.36 | 0.43 | 0.74 | 0.41 | 0.46 | 0.43 | 264 |
Russia_Tomsk State University of Control Systems and Radioelectronics (TUSUR University) | 0.54 | 0.59 | 0.21 | 0.26 | 0.19 | 0.15 | 0.17 | 0.27 | 0.15 | 0.31 | 0.23 | 0.77 | 0.32 | 0.28 | 0.40 | 0.22 | 0.24 | 0.05 | 0.58 | 0.89 | 0.37 | 300 |
UK_University of Sheffield | 0.54 | 0.38 | 0.79 | 0.70 | 0.87 | 0.72 | 0.85 | 0.87 | 0.64 | 0.87 | 0.83 | 0.92 | 0.72 | 0.91 | 0.87 | 0.57 | 0.62 | 0.64 | 0.59 | 0.68 | 0.80 | 53 |
Taiwan_National Chung Cheng University | 0.54 | 0.56 | 0.26 | 0.32 | 0.19 | 0.29 | 0.25 | 0.15 | 0.38 | 0.31 | 0.15 | 0.26 | 0.13 | 0.32 | 0.20 | 0.18 | 0.19 | 0.33 | 0.57 | 0.88 | 0.37 | 299 |
UK_University of Birmingham | 0.54 | 0.41 | 0.74 | 0.65 | 0.85 | 0.81 | 0.93 | 0.92 | 0.69 | 0.84 | 0.85 | 0.88 | 0.76 | 0.88 | 0.86 | 0.52 | 0.58 | 0.78 | 0.50 | 0.57 | 0.80 | 55 |
Spain_University of Valencia | 0.54 | 0.63 | 0.56 | 0.63 | 0.49 | 0.52 | 0.25 | 0.72 | 0.41 | 0.64 | 0.16 | 0.56 | 0.67 | 0.67 | 0.52 | 0.19 | 0.21 | 0.91 | 0.22 | 0.35 | 0.54 | 210 |
Russia_Volgograd State Technical University | 0.54 | 0.50 | 0.09 | 0.10 | 0.00 | 0.09 | 0.16 | 0.02 | 0.11 | 0.00 | 0.03 | 0.36 | 0.03 | 0.08 | 0.11 | 0.10 | 0.11 | 0.11 | 0.25 | 0.58 | 0.19 | 372 |
Chile_Pontificia University Catolica de Chile | 0.53 | 0.81 | 0.18 | 0.32 | 0.74 | 0.53 | 0.16 | 0.52 | 0.50 | 0.68 | 0.60 | 0.37 | 0.90 | 0.69 | 0.65 | 0.47 | 0.53 | 0.31 | 0.69 | 0.75 | 0.56 | 195 |
India_Indian Institute of Technology, Kanpur | 0.53 | 0.75 | 0.79 | 0.85 | 0.77 | 0.43 | 0.31 | 0.25 | 0.51 | 0.74 | 0.11 | 0.04 | 0.19 | 0.70 | 0.26 | 0.66 | 0.69 | 0.42 | 0.65 | 0.85 | 0.61 | 164 |
France_University Paris Diderot - Paris 7 | 0.52 | 0.81 | 1.00 | 0.99 | 0.00 | 0.93 | 0.73 | 0.97 | 0.80 | 0.51 | 0.66 | 0.76 | 0.86 | 0.38 | 0.67 | 0.21 | 0.23 | 0.99 | 0.04 | 0.02 | 0.67 | 139 |
Japan_University of Electro-Communications | 0.52 | 0.57 | 0.39 | 0.46 | 0.24 | 0.42 | 0.56 | 0.19 | 0.55 | 0.31 | 0.49 | 0.30 | 0.41 | 0.32 | 0.38 | 0.36 | 0.43 | 0.71 | 0.48 | 0.56 | 0.47 | 242 |
Spain_ESIC Business and Marketing School | 0.52 | 0.69 | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.10 | 0.04 | 0.00 | 0.73 | 0.58 | 0.29 | 0.08 | 0.42 | 0.28 | 0.33 | 0.11 | 0.06 | 0.04 | 0.21 | 365 |
UK_University of York | 0.52 | 0.31 | 0.72 | 0.59 | 0.72 | 0.81 | 0.80 | 0.83 | 0.75 | 0.75 | 0.82 | 0.81 | 0.63 | 0.81 | 0.79 | 0.54 | 0.59 | 0.79 | 0.53 | 0.57 | 0.77 | 76 |
Taiwan_National Chung Hsing University | 0.52 | 0.63 | 0.38 | 0.48 | 0.40 | 0.36 | 0.62 | 0.20 | 0.41 | 0.57 | 0.33 | 0.27 | 0.12 | 0.48 | 0.29 | 0.36 | 0.42 | 0.36 | 0.60 | 0.87 | 0.48 | 241 |
UK_Swansea University | 0.52 | 0.28 | 0.37 | 0.31 | 0.40 | 0.53 | 0.36 | 0.86 | 0.45 | 0.40 | 0.81 | 0.79 | 0.77 | 0.53 | 0.74 | 0.42 | 0.48 | 0.69 | 0.41 | 0.45 | 0.61 | 162 |
UK_Royal Holloway, University of London | 0.51 | 0.30 | 0.72 | 0.57 | 0.61 | 0.69 | 0.88 | 0.97 | 0.58 | 0.63 | 0.93 | 0.94 | 0.91 | 0.73 | 0.90 | 0.43 | 0.49 | 0.90 | 0.30 | 0.22 | 0.75 | 91 |
UK_University of Reading | 0.51 | 0.37 | 0.67 | 0.58 | 0.84 | 0.64 | 0.89 | 0.83 | 0.59 | 0.81 | 0.88 | 0.90 | 0.80 | 0.88 | 0.89 | 0.50 | 0.55 | 0.82 | 0.39 | 0.36 | 0.77 | 73 |
UK_University of Aberdeen | 0.51 | 0.60 | 0.66 | 0.69 | 0.58 | 0.84 | 0.59 | 0.94 | 0.79 | 0.57 | 0.90 | 0.96 | 0.88 | 0.72 | 0.88 | 0.45 | 0.51 | 0.76 | 0.58 | 0.72 | 0.79 | 61 |
Azerbaijan_Azerbaijan University of Architecture and Construction | 0.51 | 0.36 | 0.17 | 0.15 | 0.00 | 0.02 | 0.73 | 0.03 | 0.03 | 0.10 | 0.24 | 0.43 | 0.44 | 0.08 | 0.29 | 0.05 | 0.06 | 0.20 | 0.03 | 0.03 | 0.20 | 367 |
Thailand_Chiang Mai University | 0.51 | 0.50 | 0.22 | 0.23 | 0.55 | 0.24 | 0.26 | 0.18 | 0.26 | 0.35 | 0.19 | 0.12 | 0.55 | 0.30 | 0.28 | 0.74 | 0.76 | 0.14 | 0.63 | 0.35 | 0.43 | 263 |
China_Nanjing University | 0.50 | 0.86 | 0.84 | 0.92 | 0.72 | 0.85 | 0.29 | 0.65 | 0.87 | 0.71 | 0.98 | 0.49 | 0.26 | 0.69 | 0.61 | 0.80 | 0.80 | 0.31 | 0.90 | 0.84 | 0.82 | 37 |
India_Indian Institute of Technology, Madras | 0.50 | 0.87 | 0.88 | 0.93 | 0.82 | 0.40 | 0.24 | 0.29 | 0.48 | 0.80 | 0.19 | 0.08 | 0.20 | 0.75 | 0.30 | 0.87 | 0.84 | 0.25 | 0.71 | 0.76 | 0.60 | 169 |
China_Nanjing University of Aeronautics & Astronautics | 0.50 | 0.57 | 0.39 | 0.46 | 0.19 | 0.42 | 0.25 | 0.47 | 0.49 | 0.25 | 0.28 | 0.18 | 0.09 | 0.21 | 0.17 | 0.49 | 0.54 | 0.13 | 0.85 | 0.92 | 0.43 | 261 |
Switzerland_University of Geneva | 0.50 | 0.83 | 0.73 | 0.84 | 0.78 | 0.95 | 0.21 | 0.92 | 0.91 | 0.77 | 0.95 | 0.97 | 0.96 | 0.79 | 0.94 | 0.62 | 0.65 | 0.75 | 0.68 | 0.76 | 0.87 | 22 |
Nigeria_University of Ibadan | 0.49 | 0.77 | 0.60 | 0.74 | 0.61 | 0.25 | 0.56 | 0.61 | 0.21 | 0.51 | 0.51 | 0.09 | 0.60 | 0.32 | 0.38 | 0.11 | 0.11 | 0.78 | 0.15 | 0.31 | 0.54 | 207 |
Turkey_Koc University | 0.49 | 0.47 | 0.32 | 0.33 | 0.67 | 0.43 | 0.17 | 0.31 | 0.57 | 0.71 | 0.62 | 0.32 | 0.51 | 0.74 | 0.55 | 0.97 | 0.93 | 0.21 | 0.80 | 0.31 | 0.58 | 184 |
China_Dalian University of Technology | 0.49 | 0.59 | 0.51 | 0.57 | 0.36 | 0.55 | 0.36 | 0.49 | 0.60 | 0.44 | 0.60 | 0.14 | 0.16 | 0.48 | 0.34 | 0.44 | 0.49 | 0.29 | 0.76 | 0.89 | 0.56 | 201 |
China_China Pharmaceutical University | 0.49 | 0.51 | 0.42 | 0.45 | 0.36 | 0.34 | 0.50 | 0.39 | 0.32 | 0.25 | 0.10 | 0.13 | 0.04 | 0.26 | 0.12 | 0.40 | 0.44 | 0.65 | 0.34 | 0.53 | 0.40 | 278 |
USA_Syracuse University | 0.49 | 0.43 | 0.65 | 0.60 | 0.80 | 0.54 | 0.49 | 0.93 | 0.41 | 0.76 | 0.42 | 0.75 | 0.46 | 0.80 | 0.62 | 0.82 | 0.81 | 0.53 | 0.50 | 0.17 | 0.67 | 138 |
Republic of Korea_Hanyang University | 0.49 | 0.37 | 0.91 | 0.79 | 0.69 | 0.81 | 0.77 | 0.41 | 0.93 | 0.68 | 0.82 | 0.77 | 0.25 | 0.32 | 0.55 | 0.92 | 0.90 | 0.14 | 0.98 | 0.81 | 0.74 | 98 |
USA_Boston College | 0.48 | 0.42 | 0.39 | 0.38 | 0.80 | 0.50 | 0.50 | 0.67 | 0.48 | 0.80 | 0.65 | 0.54 | 0.22 | 0.84 | 0.57 | 0.94 | 0.91 | 0.67 | 0.44 | 0.08 | 0.68 | 128 |
USA_Oklahoma State University | 0.48 | 0.31 | 0.55 | 0.46 | 0.36 | 0.56 | 0.88 | 0.67 | 0.53 | 0.25 | 0.70 | 0.39 | 0.42 | 0.26 | 0.44 | 0.70 | 0.71 | 0.69 | 0.48 | 0.21 | 0.56 | 197 |
Singapore_Nanyang Technological University | 0.48 | 0.19 | 0.83 | 0.61 | 0.94 | 0.93 | 0.84 | 0.96 | 0.89 | 0.94 | 0.97 | 0.86 | 0.92 | 0.92 | 0.94 | 0.93 | 0.91 | 0.27 | 0.92 | 0.72 | 0.94 | 5 |
Norway_Norwegian University of Science and Technology | 0.48 | 0.72 | 0.43 | 0.57 | 0.76 | 0.53 | 0.42 | 0.53 | 0.54 | 0.78 | 0.71 | 0.42 | 0.74 | 0.80 | 0.68 | 0.54 | 0.56 | 0.50 | 0.61 | 0.61 | 0.66 | 140 |
Taiwan_National Taipei University of Technology | 0.48 | 0.46 | 0.35 | 0.35 | 0.36 | 0.33 | 0.26 | 0.25 | 0.37 | 0.54 | 0.46 | 0.42 | 0.09 | 0.48 | 0.36 | 0.57 | 0.59 | 0.14 | 0.73 | 0.89 | 0.49 | 232 |
Russia_Omsk State Technical University | 0.48 | 0.56 | 0.17 | 0.19 | 0.09 | 0.07 | 0.75 | 0.06 | 0.09 | 0.00 | 0.04 | 0.74 | 0.10 | 0.18 | 0.26 | 0.07 | 0.07 | 0.09 | 0.16 | 0.41 | 0.25 | 352 |
UK_University of Portsmouth | 0.47 | 0.22 | 0.21 | 0.15 | 0.13 | 0.45 | 0.49 | 0.88 | 0.31 | 0.20 | 0.84 | 0.83 | 0.91 | 0.24 | 0.71 | 0.28 | 0.30 | 0.95 | 0.12 | 0.07 | 0.53 | 215 |
China_Chongqing University | 0.47 | 0.56 | 0.47 | 0.51 | 0.13 | 0.44 | 0.44 | 0.46 | 0.49 | 0.10 | 0.35 | 0.22 | 0.17 | 0.21 | 0.23 | 0.45 | 0.48 | 0.45 | 0.61 | 0.62 | 0.45 | 255 |
Turkey_Ege University | 0.47 | 0.74 | 0.19 | 0.30 | 0.00 | 0.26 | 0.30 | 0.16 | 0.23 | 0.00 | 0.22 | 0.18 | 0.14 | 0.08 | 0.14 | 0.40 | 0.43 | 0.49 | 0.28 | 0.33 | 0.30 | 333 |
UK_University of Central Lancashire | 0.47 | 0.22 | 0.14 | 0.11 | 0.19 | 0.28 | 0.27 | 0.43 | 0.25 | 0.31 | 0.65 | 0.70 | 0.65 | 0.56 | 0.65 | 0.29 | 0.32 | 0.93 | 0.11 | 0.07 | 0.40 | 279 |
Spain_University of Vigo | 0.47 | 0.58 | 0.30 | 0.35 | 0.36 | 0.34 | 0.11 | 0.39 | 0.35 | 0.20 | 0.14 | 0.27 | 0.62 | 0.56 | 0.40 | 0.25 | 0.26 | 0.86 | 0.24 | 0.38 | 0.42 | 268 |
UK_Aberystwyth University | 0.46 | 0.20 | 0.51 | 0.36 | 0.43 | 0.53 | 0.95 | 0.72 | 0.47 | 0.31 | 0.75 | 0.71 | 0.85 | 0.60 | 0.74 | 0.48 | 0.51 | 0.61 | 0.49 | 0.52 | 0.62 | 156 |
USA_Oregon State University | 0.46 | 0.29 | 0.59 | 0.48 | 0.74 | 0.68 | 0.31 | 0.66 | 0.63 | 0.74 | 0.74 | 0.53 | 0.39 | 0.79 | 0.62 | 0.75 | 0.75 | 0.41 | 0.72 | 0.63 | 0.61 | 161 |
Japan_Kyushu Institute of Technology | 0.46 | 0.44 | 0.41 | 0.40 | 0.46 | 0.46 | 0.81 | 0.28 | 0.54 | 0.31 | 0.46 | 0.22 | 0.32 | 0.60 | 0.40 | 0.33 | 0.38 | 0.80 | 0.39 | 0.40 | 0.53 | 220 |
New Zealand_Massey University | 0.46 | 0.58 | 0.49 | 0.53 | 0.51 | 0.48 | 0.86 | 0.47 | 0.51 | 0.51 | 0.94 | 0.91 | 0.82 | 0.62 | 0.84 | 0.35 | 0.40 | 0.79 | 0.37 | 0.39 | 0.69 | 127 |
Canada_University of Calgary | 0.45 | 0.44 | 0.77 | 0.70 | 0.75 | 0.83 | 0.88 | 0.72 | 0.83 | 0.75 | 0.80 | 0.75 | 0.65 | 0.83 | 0.77 | 0.68 | 0.68 | 0.52 | 0.77 | 0.74 | 0.80 | 54 |
Iraq_University of Diyala | 0.45 | 0.45 | 0.14 | 0.14 | 0.00 | 0.06 | 0.42 | 0.30 | 0.04 | 0.00 | 0.00 | 0.00 | 0.98 | 0.08 | 0.26 | 0.02 | 0.02 | 0.58 | 0.03 | 0.17 | 0.22 | 362 |
China_University of Electronic Science and Technology of China | 0.45 | 0.52 | 0.40 | 0.44 | 0.00 | 0.48 | 0.24 | 0.54 | 0.59 | 0.15 | 0.26 | 0.16 | 0.31 | 0.18 | 0.22 | 0.45 | 0.47 | 0.26 | 0.77 | 0.89 | 0.41 | 276 |
USA_University of Colorado | 0.45 | 0.37 | 0.68 | 0.59 | 0.89 | 0.71 | 0.81 | 0.96 | 0.53 | 0.90 | 0.60 | 0.54 | 0.49 | 0.90 | 0.65 | 0.78 | 0.76 | 0.29 | 0.72 | 0.76 | 0.74 | 95 |
Czech Republic_University of West Bohemia | 0.44 | 0.68 | 0.25 | 0.34 | 0.24 | 0.19 | 0.16 | 0.12 | 0.23 | 0.15 | 0.36 | 0.23 | 0.69 | 0.43 | 0.43 | 0.26 | 0.26 | 0.10 | 0.62 | 0.91 | 0.33 | 317 |
Switzerland_University of Bern | 0.44 | 0.54 | 0.98 | 0.94 | 0.70 | 0.98 | 0.61 | 0.90 | 0.98 | 0.73 | 0.96 | 0.67 | 0.95 | 0.67 | 0.83 | 0.88 | 0.85 | 0.78 | 0.78 | 0.64 | 0.84 | 32 |
USA_University of California, Irvine | 0.44 | 0.23 | 0.70 | 0.51 | 0.82 | 0.82 | 0.48 | 0.92 | 0.70 | 0.86 | 0.77 | 0.86 | 0.49 | 0.86 | 0.76 | 0.94 | 0.90 | 0.41 | 0.76 | 0.39 | 0.82 | 42 |
Finland_University of Helsinki | 0.43 | 0.65 | 0.79 | 0.81 | 0.83 | 0.95 | 0.96 | 0.92 | 0.89 | 0.85 | 0.53 | 0.31 | 0.87 | 0.86 | 0.65 | 0.62 | 0.61 | 0.42 | 0.87 | 0.98 | 0.81 | 50 |
China_Sun Yat-sen University | 0.43 | 0.53 | 0.75 | 0.73 | 0.58 | 0.63 | 0.43 | 0.59 | 0.65 | 0.60 | 0.41 | 0.45 | 0.22 | 0.56 | 0.41 | 0.98 | 0.95 | 0.26 | 0.81 | 0.30 | 0.68 | 129 |
USA_Colorado School of Mines | 0.43 | 0.38 | 0.68 | 0.59 | 0.80 | 0.82 | 0.42 | 0.85 | 0.77 | 0.77 | 0.44 | 0.54 | 0.47 | 0.86 | 0.59 | 0.75 | 0.74 | 0.59 | 0.69 | 0.56 | 0.75 | 84 |
Portugal_Aveiro University | 0.43 | 0.59 | 0.66 | 0.68 | 0.49 | 0.79 | 0.15 | 0.42 | 0.89 | 0.47 | 0.36 | 0.55 | 0.77 | 0.32 | 0.50 | 0.26 | 0.25 | 0.91 | 0.44 | 0.77 | 0.59 | 183 |
UK_University of Exeter | 0.42 | 0.21 | 0.63 | 0.46 | 0.70 | 0.73 | 0.98 | 0.92 | 0.64 | 0.73 | 0.89 | 0.86 | 0.81 | 0.80 | 0.86 | 0.50 | 0.51 | 0.77 | 0.47 | 0.53 | 0.75 | 82 |
Romania_George Emil Palade University of Medicine, Pharmacy, Science, and Technology of Targu Mures |
0.42 | 0.59 | 0.17 | 0.21 | 0.00 | 0.17 | 0.27 | 0.12 | 0.16 | 0.00 | 0.11 | 0.35 | 0.25 | 0.08 | 0.18 | 0.14 | 0.13 | 0.97 | 0.04 | 0.06 | 0.24 | 356 |
China_Ningbo University | 0.41 | 0.55 | 0.05 | 0.06 | 0.00 | 0.39 | 0.17 | 0.40 | 0.39 | 0.00 | 0.25 | 0.30 | 0.07 | 0.08 | 0.16 | 0.34 | 0.37 | 0.57 | 0.42 | 0.45 | 0.30 | 329 |
India_Indian Institute of Technology, Delhi | 0.41 | 0.78 | 0.91 | 0.93 | 0.84 | 0.57 | 0.18 | 0.30 | 0.77 | 0.81 | 0.18 | 0.08 | 0.13 | 0.73 | 0.27 | 0.90 | 0.86 | 0.46 | 0.76 | 0.61 | 0.62 | 157 |
UK_Queens University Belfast | 0.41| 0.24| 0.73| 0.54| 0.49| 0.70| 0.79| 0.76| 0.65| 0.57| 0.92| 0.94| 0.93| 0.72| 0.89| 0.49| 0.50| 0.68| 0.56| 0.65| 0.75| 88| |Russia_Moscow State Institute of Radio Engineering, Electrical & Automation | 0.40| 0.44| 0.07| 0.07| 0.74| 0.14| 0.05| 0.06| 0.17| 0.73| 0.07| 0.16| 0.09| 0.70| 0.25| 0.21| 0.18| 0.10| 0.44| 0.73| 0.28| 343| |Republic of Korea_Sejong University | 0.40| 0.27| 0.45| 0.36| 0.33| 0.52| 0.89| 0.54| 0.56| 0.20| 0.54| 0.50| 0.36| 0.43| 0.46| 0.34| 0.37| 0.38| 0.70| 0.84| 0.56| 198| |USA_University of Nebraska | 0.40| 0.44| 0.67| 0.62| 0.72| 0.65| 0.43| 0.74| 0.64| 0.66| 0.77| 0.54| 0.48| 0.67| 0.62| 0.78| 0.76| 0.37| 0.74| 0.57| 0.66| 143| |Russia_South Ural State University | 0.40| 0.37| 0.09| 0.09| 0.19| 0.11| 0.08| 0.11| 0.11| 0.15| 0.11| 0.30| 0.22| 0.18| 0.19| 0.11| 0.09| 0.10| 0.23| 0.54| 0.21| 364| |Japan_Hitotsubashi University | 0.39| 0.48| 0.45| 0.46| 0.51| 0.16| 0.21| 0.20| 0.20| 0.57| 0.53| 0.57| 0.44| 0.43| 0.49| 0.33| 0.36| 0.16| 0.40| 0.41| 0.42| 266| |Iraq_University of Thi-Qar | 0.39| 0.51| 0.09| 0.10| 0.00| 0.10| 0.12| 0.24| 0.06| 0.00| 0.00| 0.00| 0.96| 0.08| 0.25| 0.12| 0.10| 0.06| 0.12| 0.33| 0.17| 377| |Iraq_University College in Baghdad Iraq | 0.39| 0.05| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.08| 0.00| 0.10| 0.09| 0.00| 0.07| 0.12| 0.04| 391| |Qatar_University of Qatar | 0.39| 0.34| 0.03| 0.04| 0.46| 0.37| 0.05| 0.55| 0.40| 0.44| 1.00| 0.96| 0.99| 0.48| 0.88| 0.91| 0.87| 0.08| 0.88| 0.55| 0.53| 219| |USA_University of Oregon | 0.38| 0.21| 0.59| 0.43| 0.70| 0.56| 0.19| 0.95| 0.41| 0.74| 0.26| 0.57| 0.43| 0.76| 0.51| 0.77| 0.73| 0.41| 0.57| 0.35| 0.61| 167| |Canada_Laval University | 0.38| 0.39| 0.95| 0.86| 0.60| 0.72| 0.52| 0.62| 0.72| 0.61| 0.81| 0.61| 0.57| 0.76| 0.70| 0.57| 0.56| 0.37| 0.79| 0.83| 0.70| 118| |Republic of Korea_Kyung Hee University | 0.38| 0.53| 0.71| 0.69| 0.46| 0.80| 0.30| 0.39| 0.92| 0.47| 0.79| 0.79| 0.24| 0.43| 0.57| 0.92| 0.88| 0.32| 0.91| 0.56| 0.66| 147| |Romania_University of Bucharest | 0.37| 0.40| 0.43| 0.41| 0.61| 0.25| 0.39| 0.18| 0.28| 0.44| 0.14| 0.13| 0.49| 0.48| 0.30| 0.11| 0.09| 0.86| 0.19| 0.43| 0.36| 304| |Spain_University of Salamanca | 0.37| 0.48| 0.58| 0.56| 0.53| 0.41| 0.24| 0.47| 0.34| 0.44| 0.18| 0.67| 0.55| 0.35| 0.44| 0.20| 0.17| 0.85| 0.23| 0.34| 0.47| 245| |USA_State University of New York, Albany | 0.37| 0.30| 0.48| 0.39| 0.57| 0.58| 0.42| 0.90| 0.45| 0.70| 0.00| 0.49| 0.45| 0.64| 0.39| 0.60| 0.57| 0.47| 0.56| 0.58| 0.60| 168| |France_Universite Grenoble Alpes (UGA) | 0.36| 0.35| 0.82| 0.70| 0.64| 0.89| 0.70| 0.63| 0.88| 0.68| 0.55| 0.58| 0.88| 0.67| 0.68| 0.32| 0.32| 0.97| 0.29| 0.24| 0.67| 135| |Australia_Australian National University | 0.36| 0.44| 0.86| 0.77| 0.91| 0.94| 0.94| 0.89| 0.95| 0.93| 0.97| 0.98| 0.85| 0.94| 0.96| 0.82| 0.77| 0.37| 0.93| 0.90| 0.93| 6| |Singapore_National University of Singapore | 0.36| 0.24| 0.85| 0.65| 0.98| 0.89| 0.72| 0.82| 0.87| 0.98| 0.98| 0.88| 0.92| 0.96| 0.96| 0.97| 0.93| 0.24| 0.92| 0.68| 0.87| 23| |India_Vellore Institute of Technology | 0.36| 0.53| 0.39| 0.44| 0.19| 0.25| 0.10| 0.25| 0.00| 0.15| 0.56| 0.15| 0.00| 0.08| 0.19| 0.35| 0.34| 0.00| 0.14| 0.11| 0.30| 336| |USA_University of Illinois at Urbana - Champaign | 0.35| 0.33| 0.70| 0.57| 0.97| 0.91| 0.39| 0.87| 0.86| 0.97| 0.44| 0.82| 0.45| 0.97| 0.68| 0.89| 0.83| 0.44| 0.84| 0.58| 0.75| 92| |Taiwan_National Tsing Hua University | 0.35| 0.51| 0.61| 0.61| 0.75| 0.83| 0.36| 0.52| 0.85| 0.77| 0.37| 0.48| 0.37| 0.43| 0.41| 0.64| 0.59| 0.22| 0.93| 0.95| 0.66| 141| |New Zealand_University of Canterbury | 0.35| 0.41| 0.62| 0.56| 0.53| 0.69| 0.95| 0.72| 0.65| 0.60| 0.95| 0.82| 0.95| 0.69| 0.87| 0.36| 0.35| 0.77| 0.48| 0.53| 0.74| 99| |Romania_West University of Timisoara | 0.35| 0.11| 0.29| 0.17| 0.19| 0.40| 0.17| 0.87| 0.26| 0.15| 0.09| 0.24| 0.74| 0.08| 0.28| 0.11| 0.08| 0.95| 0.10| 0.14| 0.35| 311| |Taiwan_National Dong Hwa University | 0.35| 0.40| 0.19| 0.18| 0.00| 0.33| 0.49| 0.23| 0.39| 0.00| 0.30| 0.44| 0.39| 0.08| 0.30| 0.30| 0.27| 0.14| 0.75| 0.93| 0.40| 280| |New Zealand_University of Waikato | 0.34| 0.19| 0.38| 0.26| 0.33| 0.48| 0.64| 0.58| 0.46| 0.25| 0.89| 0.87| 0.83| 0.28| 0.73| 0.38| 0.37| 0.76| 0.37| 0.36| 0.56| 200| |USA_Washington State University | 0.34| 0.26| 0.76| 0.58| 0.67| 0.64| 0.28| 0.73| 0.62| 0.63| 0.72| 0.39| 0.41| 0.72| 0.56| 0.77| 0.72| 0.18| 0.86| 0.78| 0.62| 155| |Hong Kong_University of Hong Kong | 0.34| 0.28| 0.93| 0.78| 0.94| 0.95| 0.81| 0.77| 0.97| 0.93| 0.99| 0.98| 0.50| 0.92| 0.87| 0.95| 0.90| 0.21| 0.97| 0.83| 0.88| 19| |USA_Old Dominion University | 0.34| 0.23| 0.54| 0.41| 0.43| 0.42| 0.97| 0.65| 0.39| 0.35| 0.41| 0.17| 0.45| 0.53| 0.39| 0.69| 0.64| 0.57| 0.43| 0.20| 0.54| 212| |Russia_Pacific National University | 0.34| 0.23| 0.09| 0.07| 0.00| 0.04| 0.18| 0.03| 0.07| 0.00| 0.09| 0.30| 0.15| 0.08| 0.14| 0.09| 0.07| 0.06| 0.14| 0.25| 0.15| 381| |USA_Virginia Polytechnic Institute and State University | 0.34| 0.31| 0.76| 0.63| 0.87| 0.60| 0.62| 0.55| 0.66| 0.87| 0.76| 0.63| 0.37| 0.88| 0.67| 0.79| 0.73| 0.17| 0.89| 0.84| 0.73| 106| |Pakistan_NED University of Engineering and Technology | 0.34| 0.16| 0.04| 0.03| 0.00| 0.15| 0.08| 0.23| 0.12| 0.00| 0.04| 0.03| 0.97| 0.08| 0.27| 0.09| 0.07| 0.53| 0.10| 0.17| 0.16| 379| |USA_Portland State University | 0.33| 0.11| 0.26| 0.15| 0.36| 0.30| 0.00| 0.41| 0.32| 0.35| 0.68| 0.44| 0.24| 0.38| 0.43| 0.60| 0.55| 0.42| 0.45| 0.31| 0.40| 281| |Finland_Aalto University | 0.33| 0.72| 0.81| 0.86| 0.77| 0.86| 0.49| 0.73| 0.85| 0.79| 0.71| 0.85| 0.93| 0.80| 0.84| 0.64| 0.58| 0.75| 0.63| 0.73| 0.79| 57| |New Zealand_University of Auckland | 0.32| 0.15| 0.60| 0.39| 0.81| 0.71| 0.98| 0.73| 0.74| 0.80| 0.92| 0.91| 0.88| 0.84| 0.91| 0.51| 0.46| 0.66| 0.63| 0.65| 0.76| 78| |Hong Kong_Chinese University Hong Kong | 0.32| 0.21| 0.87| 0.67| 0.89| 0.95| 0.61| 0.82| 0.97| 0.89| 0.97| 0.91| 0.48| 0.82| 0.81| 0.95| 0.90| 0.35| 0.95| 0.64| 0.89| 18| |USA_Florida Atlantic University | 0.32| 0.14| 0.43| 0.28| 0.24| 0.27| 0.82| 0.38| 0.27| 0.15| 0.66| 0.52| 0.34| 0.30| 0.46| 0.52| 0.46| 0.45| 0.38| 0.25| 0.41| 272| |Portugal_University of Porto | 0.32| 0.63| 0.63| 0.68| 0.75| 0.68| 0.21| 0.52| 0.75| 0.67| 0.23| 0.64| 0.70| 0.68| 0.57| 0.31| 0.27| 0.91| 0.37| 0.57| 0.61| 163| |USA_Savannah College of Art and Design | 0.32| 0.29| 0.00| 0.00| 0.00| 0.02| 0.00| 0.01| 0.08| 0.00| 0.52| 0.85| 0.02| 0.08| 0.36| 0.68| 0.61| 0.02| 0.82| 0.70| 0.28| 340| |USA_Auburn University | 0.32| 0.36| 0.82| 0.70| 0.55| 0.41| 0.84| 0.41| 0.50| 0.47| 0.70| 0.44| 0.31| 0.64| 0.52| 0.83| 0.76| 0.51| 0.57| 0.24| 0.59| 176| |USA_Oakland University | 0.31| 0.19| 0.53| 0.37| 0.33| 0.33| 0.46| 0.40| 0.35| 0.25| 0.39| 0.20| 0.34| 0.35| 0.31| 0.55| 0.49| 0.95| 0.13| 0.04| 0.36| 301| |Switzerland_University of Lucerne | 0.31| 0.74| 0.53| 0.67| 0.29| 0.21| 0.78| 0.66| 0.22| 0.35| 0.87| 0.62| 0.76| 0.43| 0.68| 0.39| 0.36| 0.61| 0.23| 0.25| 0.59| 182| |Hungary_Eotvos Lorand University | 0.31| 0.47| 0.40| 0.41| 0.36| 0.44| 0.18| 0.73| 0.37| 0.35| 0.53| 0.49| 0.87| 0.28| 0.54| 0.34| 0.32| 0.30| 0.58| 0.71| 0.54| 213| |Russia_Novosibirsk State University of Economics and Management | 0.30| 0.14| 0.06| 0.05| 0.00| 0.02| 0.08| 0.06| 0.04| 0.00| 0.05| 0.17| 0.02| 0.08| 0.06| 0.00| 0.00| 0.99| 0.00| 0.08| 0.15| 380| |USA_California State University, Long Beach | 0.29| 0.07| 0.13| 0.08| 0.13| 0.18| 0.76| 0.32| 0.17| 0.10| 0.70| 0.35| 0.27| 0.21| 0.38| 0.49| 0.43| 0.28| 0.25| 0.13| 0.35| 312| |Spain_Complutense University of Madrid | 0.29| 0.36| 0.83| 0.71| 0.83| 0.48| 0.45| 0.40| 0.52| 0.78| 0.14| 0.58| 0.56| 0.76| 0.52| 0.28| 0.22| 0.96| 0.17| 0.14| 0.56| 203| |Russia_Reshetnev Siberian State University of Science and Technology | 0.29| 0.40| 0.10| 0.11| 0.36| 0.10| 0.28| 0.07| 0.10| 0.47| 0.10| 0.15| 0.19| 0.56| 0.24| 0.13| 0.08| 0.16| 0.14| 0.23| 0.26| 347| |Iran_University of Isfahan | 0.28| 0.58| 0.58| 0.62| 0.49| 0.41| 0.13| 0.16| 0.54| 0.10| 0.09| 0.09| 0.11| 0.08| 0.08| 0.35| 0.31| 0.98| 0.10| 0.05| 0.40| 282| |UK_Leeds Beckett University | 0.28| 0.14| 0.10| 0.08| 0.29| 0.18| 0.26| 0.43| 0.19| 0.40| 0.65| 0.53| 0.34| 0.43| 0.49| 0.34| 0.29| 0.93| 0.08| 0.03| 0.40| 285| |UK_University of Strathclyde | 0.28| 0.33| 0.75| 0.62| 0.61| 0.55| 0.64| 0.63| 0.57| 0.61| 0.84| 0.84| 0.76| 0.70| 0.80| 0.53| 0.44| 0.62| 0.55| 0.63| 0.69| 126| |Canada_Universite de Montreal | 0.27| 0.27| 0.95| 0.81| 0.80| 0.89| 0.57| 0.69| 0.91| 0.81| 0.86| 0.80| 0.70| 0.86| 0.82| 0.79| 0.69| 0.48| 0.84| 0.77| 0.81| 45| |USA_Kent State University | 0.27| 0.15| 0.61| 0.41| 0.46| 0.48| 0.98| 0.76| 0.38| 0.40| 0.59| 0.47| 0.39| 0.62| 0.52| 0.61| 0.52| 0.82| 0.27| 0.10| 0.59| 179| |Russia_Saint-Petersburg state University of Architecture and Construction | 0.27| 0.57| 0.06| 0.07| 0.09| 0.07| 0.06| 0.23| 0.06| 0.10| 0.08| 0.37| 0.10| 0.08| 0.14| 0.16| 0.11| 0.07| 0.11| 0.11| 0.17| 378| |China_Hunan University | 0.27| 0.51| 0.51| 0.51| 0.36| 0.59| 0.30| 0.85| 0.54| 0.40| 0.33| 0.14| 0.16| 0.38| 0.24| 0.45| 0.39| 0.39| 0.68| 0.75| 0.49| 234| |Italy_University of Florence | 0.27| 0.46| 0.95| 0.87| 0.51| 0.80| 0.72| 0.74| 0.71| 0.60| 0.34| 0.35| 0.57| 0.64| 0.48| 0.42| 0.37| 0.79| 0.50| 0.61| 0.65| 151| |UK_Glasgow Caledonian University | 0.26| 0.10| 0.39| 0.24| 0.19| 0.30| 0.86| 0.54| 0.28| 0.25| 0.63| 0.67| 0.53| 0.30| 0.53| 0.28| 0.21| 0.88| 0.16| 0.13| 0.42| 271| |Russia_Siberian State University of Water Transport | 0.26| 0.46| 0.08| 0.09| 0.00| 0.10| 0.08| 0.08| 0.10| 0.00| 0.12| 0.17| 0.19| 0.08| 0.13| 0.14| 0.10| 0.15| 0.16| 0.26| 0.14| 383| |Taiwan_Tatung University | 0.25| 0.27| 0.21| 0.16| 0.00| 0.31| 0.73| 0.14| 0.36| 0.00| 0.12| 0.15| 0.04| 0.08| 0.08| 0.26| 0.19| 0.74| 0.31| 0.35| 0.22| 363| |Japan_Kindai University | 0.25| 0.16| 0.09| 0.07| 0.13| 0.37| 0.77| 0.34| 0.31| 0.20| 0.46| 0.12| 0.07| 0.21| 0.20| 0.83| 0.72| 0.78| 0.25| 0.06| 0.32| 320| |Iraq_Middle Technical University | 0.25| 0.07| 0.02| 0.03| 0.13| 0.05| 0.03| 0.44| 0.03| 0.00| 0.03| 0.00| 0.99| 0.08| 0.27| 0.01| 0.01| 0.70| 0.03| 0.14| 0.20| 368| |Australia_James Cook University | 0.24| 0.20| 0.59| 0.43| 0.49| 0.89| 0.94| 0.87| 0.89| 0.44| 0.91| 0.54| 0.73| 0.66| 0.72| 0.65| 0.53| 0.92| 0.41| 0.29| 0.68| 132| |China_Xiangtan University | 0.24| 0.22| 0.16| 0.11| 0.09| 0.32| 0.31| 0.48| 0.29| 0.10| 0.33| 0.10| 0.08| 0.08| 0.13| 0.24| 0.16| 0.32| 0.48| 0.69| 0.30| 331| |Italy_University of Padua | 0.24| 0.27| 0.94| 0.79| 0.70| 0.85| 0.99| 0.81| 0.81| 0.66| 0.40| 0.23| 0.73| 0.62| 0.50| 0.39| 0.31| 0.96| 0.26| 0.27| 0.66| 146| |Netherlands_Wageningen University and Research Center | 0.24| 0.77| 0.87| 0.90| 0.90| 0.90| 0.44| 0.94| 0.84| 0.91| 0.67| 0.86| 0.93| 0.93| 0.87| 0.91| 0.81| 0.17| 0.95| 0.98| 0.86| 29| |Ireland_University of Limerick | 0.24| 0.34| 0.46| 0.39| 0.36| 0.50| 0.46| 0.48| 0.51| 0.40| 0.89| 0.71| 0.63| 0.38| 0.66| 0.35| 0.28| 0.56| 0.54| 0.71| 0.59| 181| |Iran_Shahid Beheshti University | 0.24| 0.69| 0.65| 0.73| 0.51| 0.10| 0.18| 0.26| 0.08| 0.40| 0.11| 0.11| 0.08| 0.24| 0.12| 0.46| 0.38| 0.03| 0.50| 0.42| 0.36| 306| |USA_University of Texas at Dallas | 0.23| 0.32| 0.49| 0.41| 0.63| 0.69| 0.96| 0.76| 0.62| 0.71| 0.50| 0.83| 0.61| 0.78| 0.69| 0.67| 0.55| 0.77| 0.46| 0.27| 0.68| 131| |Russia_Rostov State University of Economics | 0.23| 0.06| 0.11| 0.06| 0.00| 0.01| 0.08| 0.02| 0.02| 0.00| 0.07| 0.15| 0.00| 0.08| 0.06| 0.05| 0.03| 0.02| 0.06| 0.09| 0.07| 389| |Ireland_Dublin Institute of Technology | 0.22| 0.10| 0.11| 0.07| 0.13| 0.20| 0.14| 0.45| 0.18| 0.57| 0.64| 0.75| 0.80| 0.48| 0.68| 0.37| 0.29| 0.36| 0.24| 0.17| 0.38| 295| |Taiwan_National Changhua University of Education | 0.22| 0.37| 0.43| 0.38| 0.09| 0.30| 0.32| 0.15| 0.44| 0.00| 0.20| 0.41| 0.07| 0.08| 0.18| 0.32| 0.24| 0.62| 0.44| 0.49| 0.36| 307| |Ireland_University College Cork | 0.22| 0.22| 0.64| 0.47| 0.43| 0.65| 0.35| 0.77| 0.61| 0.25| 0.84| 0.72| 0.81| 0.24| 0.66| 0.57| 0.44| 0.46| 0.69| 0.81| 0.54| 208| |Ireland_Trinity College Dublin | 0.22| 0.24| 0.85| 0.65| 0.78| 0.85| 0.51| 0.81| 0.80| 0.77| 0.94| 0.90| 0.86| 0.81| 0.90| 0.67| 0.54| 0.56| 0.73| 0.80| 0.77| 68| |Iraq_Imam Ja afar Al-Sadiq University |
0.22 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.18 | 0.03 | 0.00 | 0.18 | 0.08 | 0.07 | 0.04 | 0.00 | 0.08 | 0.14 | 0.08 | 386 |
Mexico_Autonomous University of Mexico State | 0.21 | 0.61 | 0.11 | 0.13 | 0.24 | 0.12 | 0.67 | 0.11 | 0.12 | 0.25 | 0.18 | 0.05 | 0.35 | 0.35 | 0.22 | 0.27 | 0.18 | 0.18 | 0.17 | 0.19 | 0.24 | 358 |
Iran_K. N. Toosi University of Technology | 0.21 | 0.52 | 0.81 | 0.77 | 0.33 | 0.66 | 0.05 | 0.23 | 0.94 | 0.25 | 0.36 | 0.09 | 0.08 | 0.30 | 0.19 | 0.46 | 0.36 | 0.87 | 0.60 | 0.55 | 0.45 | 254 |
Israel_Tel Aviv University | 0.21 | 0.29 | 0.92 | 0.76 | 0.78 | 0.95 | 0.28 | 0.57 | 0.98 | 0.82 | 0.66 | 0.38 | 0.59 | 0.87 | 0.63 | 0.69 | 0.55 | 0.71 | 0.83 | 0.85 | 0.75 | 89 |
Italy_University of Pisa | 0.21 | 0.48 | 0.77 | 0.72 | 0.51 | 0.84 | 0.96 | 0.82 | 0.81 | 0.60 | 0.34 | 0.31 | 0.64 | 0.62 | 0.48 | 0.37 | 0.27 | 0.95 | 0.30 | 0.28 | 0.61 | 166 |
UK_London Metropolitan University | 0.20 | 0.08 | 0.28 | 0.15 | 0.33 | 0.20 | 0.97 | 0.21 | 0.22 | 0.40 | 0.77 | 0.96 | 0.64 | 0.43 | 0.71 | 0.40 | 0.30 | 0.97 | 0.05 | 0.02 | 0.44 | 257 |
Taiwan_Ming Chuan University | 0.20 | 0.10 | 0.04 | 0.03 | 0.00 | 0.16 | 0.50 | 0.12 | 0.18 | 0.10 | 0.40 | 0.55 | 0.07 | 0.18 | 0.29 | 0.25 | 0.16 | 0.39 | 0.23 | 0.21 | 0.19 | 373 |
Thailand_Kasetsart University | 0.20 | 0.18 | 0.25 | 0.17 | 0.46 | 0.19 | 0.93 | 0.19 | 0.18 | 0.51 | 0.35 | 0.06 | 0.69 | 0.48 | 0.39 | 0.46 | 0.34 | 0.10 | 0.53 | 0.46 | 0.40 | 283 |
North Macedonia_European University Skopje | 0.20 | 0.44 | 0.06 | 0.06 | 0.00 | 0.00 | 0.00 | 0.02 | 0.03 | 0.00 | 0.48 | 0.92 | 0.00 | 0.08 | 0.37 | 0.16 | 0.09 | 0.27 | 0.03 | 0.01 | 0.17 | 376 |
Republic of Korea_Sogang University | 0.20 | 0.21 | 0.57 | 0.42 | 0.53 | 0.50 | 0.23 | 0.20 | 0.70 | 0.57 | 0.41 | 0.54 | 0.18 | 0.32 | 0.36 | 0.72 | 0.57 | 0.30 | 0.81 | 0.74 | 0.49 | 235 |
Turkey_Istanbul Medipol University | 0.20 | 0.98 | 0.03 | 0.05 | 0.00 | 0.16 | 0.03 | 0.10 | 0.19 | 0.00 | 0.20 | 0.13 | 0.05 | 0.08 | 0.10 | 0.51 | 0.39 | 0.47 | 0.24 | 0.11 | 0.27 | 346 |
Romania_University Politechica of Bucharest | 0.19 | 0.01 | 0.28 | 0.07 | 0.60 | 0.38 | 0.09 | 0.23 | 0.43 | 0.51 | 0.09 | 0.18 | 0.39 | 0.24 | 0.21 | 0.23 | 0.14 | 0.53 | 0.51 | 0.73 | 0.33 | 315 |
USA_Northern Arizona University | 0.19 | 0.13 | 0.32 | 0.19 | 0.40 | 0.31 | 0.30 | 0.83 | 0.23 | 0.35 | 0.27 | 0.26 | 0.38 | 0.48 | 0.34 | 0.51 | 0.39 | 0.47 | 0.30 | 0.16 | 0.35 | 309 |
Hong Kong_Hong Kong Polytechnic University | 0.19 | 0.09 | 0.73 | 0.43 | 0.82 | 0.66 | 0.37 | 0.75 | 0.73 | 0.86 | 0.90 | 0.84 | 0.32 | 0.84 | 0.74 | 0.90 | 0.79 | 0.71 | 0.59 | 0.42 | 0.67 | 137 |
Taiwan_Feng Chia University | 0.19 | 0.13 | 0.16 | 0.10 | 0.46 | 0.25 | 0.18 | 0.15 | 0.31 | 0.51 | 0.29 | 0.67 | 0.27 | 0.43 | 0.41 | 0.35 | 0.24 | 0.24 | 0.55 | 0.74 | 0.38 | 296 |
Ireland_University College Dublin | 0.19 | 0.23 | 0.72 | 0.52 | 0.57 | 0.87 | 0.58 | 0.86 | 0.87 | 0.64 | 0.87 | 0.89 | 0.93 | 0.70 | 0.87 | 0.64 | 0.48 | 0.67 | 0.70 | 0.67 | 0.74 | 100 |
Turkey_Bogazici University | 0.18 | 0.34 | 0.34 | 0.30 | 0.81 | 0.60 | 0.14 | 0.90 | 0.46 | 0.74 | 0.47 | 0.19 | 0.89 | 0.80 | 0.60 | 0.44 | 0.33 | 0.65 | 0.44 | 0.55 | 0.55 | 204 |
Republic of Korea_Kyungpook National University | 0.18 | 0.10 | 0.68 | 0.41 | 0.43 | 0.74 | 0.33 | 0.30 | 0.89 | 0.40 | 0.43 | 0.34 | 0.29 | 0.38 | 0.35 | 0.78 | 0.61 | 0.47 | 0.84 | 0.70 | 0.56 | 196 |
Canada_University of Waterloo | 0.17 | 0.20 | 0.58 | 0.41 | 0.86 | 0.77 | 0.67 | 0.63 | 0.85 | 0.84 | 0.90 | 0.75 | 0.69 | 0.89 | 0.82 | 0.69 | 0.52 | 0.70 | 0.68 | 0.56 | 0.77 | 77 |
Netherlands_University of Groningen | 0.17 | 0.25 | 0.85 | 0.67 | 0.81 | 0.98 | 0.54 | 0.86 | 0.98 | 0.83 | 0.78 | 0.72 | 0.82 | 0.83 | 0.81 | 0.80 | 0.65 | 0.37 | 0.96 | 0.94 | 0.79 | 60 |
USA_Florida International University | 0.17 | 0.04 | 0.78 | 0.37 | 0.29 | 0.51 | 0.55 | 0.68 | 0.45 | 0.25 | 0.47 | 0.41 | 0.50 | 0.53 | 0.48 | 0.77 | 0.60 | 0.58 | 0.50 | 0.24 | 0.54 | 214 |
Iraq_University of Samarra | 0.16 | 0.00 | 0.05 | 0.00 | 0.00 | 0.02 | 0.04 | 0.09 | 0.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.03 | 0.03 | 0.46 | 0.02 | 0.04 | 0.05 | 390 |
Japan_Shibaura Institute of Technology | 0.16 | 0.08 | 0.15 | 0.09 | 0.46 | 0.23 | 0.23 | 0.11 | 0.28 | 0.54 | 0.50 | 0.68 | 0.22 | 0.48 | 0.47 | 0.88 | 0.74 | 0.69 | 0.28 | 0.06 | 0.42 | 267 |
Portugal_ISCTE – University Institute of Lisbon | 0.16 | 0.46 | 0.61 | 0.58 | 0.13 | 0.26 | 0.11 | 0.29 | 0.35 | 0.20 | 0.39 | 0.57 | 0.62 | 0.35 | 0.49 | 0.20 | 0.12 | 0.49 | 0.43 | 0.80 | 0.40 | 277 |
Chile_Pontificial Catholic University of Valparaiso | 0.16 | 0.36 | 0.24 | 0.20 | 0.24 | 0.24 | 0.58 | 0.20 | 0.29 | 0.20 | 0.52 | 0.07 | 0.74 | 0.28 | 0.40 | 0.34 | 0.22 | 0.60 | 0.33 | 0.43 | 0.30 | 332 |
Russia_Belgorod State Technological University | 0.15 | 0.00 | 0.00 | 0.00 | 0.19 | 0.03 | 0.00 | 0.02 | 0.04 | 0.15 | 0.30 | 0.50 | 0.02 | 0.08 | 0.21 | 0.20 | 0.12 | 0.02 | 0.33 | 0.81 | 0.18 | 375 |
USA_Texas A&M University | 0.15 | 0.12 | 0.93 | 0.69 | 0.92 | 0.70 | 0.91 | 0.59 | 0.75 | 0.92 | 0.77 | 0.43 | 0.50 | 0.94 | 0.67 | 0.87 | 0.70 | 0.29 | 0.84 | 0.69 | 0.70 | 122 |
Japan_Tokyo University of Science | 0.15 | 0.15 | 0.27 | 0.17 | 0.63 | 0.62 | 0.48 | 0.31 | 0.67 | 0.64 | 0.37 | 0.12 | 0.12 | 0.69 | 0.32 | 0.48 | 0.33 | 0.89 | 0.36 | 0.24 | 0.41 | 275 |
Australia_University of Tasmania | 0.15 | 0.10 | 0.69 | 0.43 | 0.49 | 0.75 | 0.92 | 0.64 | 0.83 | 0.40 | 0.88 | 0.90 | 0.68 | 0.60 | 0.78 | 0.68 | 0.50 | 0.62 | 0.71 | 0.67 | 0.69 | 125 |
Italy_University of Ferrara | 0.14 | 0.45 | 0.60 | 0.55 | 0.33 | 0.85 | 0.86 | 0.65 | 0.82 | 0.35 | 0.06 | 0.37 | 0.72 | 0.43 | 0.39 | 0.30 | 0.17 | 0.97 | 0.21 | 0.21 | 0.54 | 211 |
USA_University of Texas at Arlington | 0.14 | 0.04 | 0.50 | 0.21 | 0.33 | 0.50 | 0.83 | 0.61 | 0.44 | 0.25 | 0.29 | 0.64 | 0.62 | 0.32 | 0.47 | 0.73 | 0.54 | 0.57 | 0.49 | 0.23 | 0.46 | 250 |
Jordan_Al-Ahliyya Amman University | 0.14 | 0.19 | 0.00 | 0.00 | 0.09 | 0.10 | 0.00 | 0.09 | 0.10 | 0.00 | 0.80 | 0.99 | 0.61 | 0.18 | 0.65 | 0.22 | 0.13 | 0.00 | 0.00 | 0.00 | 0.26 | 349 |
Canada_University of Victoria | 0.13 | 0.17 | 0.46 | 0.32 | 0.51 | 0.76 | 0.00 | 0.90 | 0.68 | 0.47 | 0.95 | 0.76 | 0.84 | 0.68 | 0.83 | 0.69 | 0.48 | 0.67 | 0.60 | 0.52 | 0.64 | 152 |
Jordan_University of Petra (UOP) | 0.13 | 0.01 | 0.00 | 0.00 | 0.00 | 0.14 | 0.00 | 0.13 | 0.12 | 0.00 | 0.62 | 0.87 | 0.76 | 0.08 | 0.59 | 0.09 | 0.04 | 0.27 | 0.14 | 0.30 | 0.24 | 354 |
Australia_Charles Darwin University | 0.13 | 0.28 | 0.42 | 0.34 | 0.29 | 0.65 | 0.54 | 0.53 | 0.70 | 0.20 | 0.77 | 0.93 | 0.54 | 0.32 | 0.65 | 0.82 | 0.63 | 0.68 | 0.60 | 0.37 | 0.59 | 178 |
Australia_University of Southern Queensland | 0.13 | 0.18 | 0.41 | 0.29 | 0.09 | 0.36 | 0.35 | 0.53 | 0.37 | 0.35 | 0.77 | 0.66 | 0.74 | 0.35 | 0.64 | 0.53 | 0.34 | 0.88 | 0.22 | 0.10 | 0.46 | 251 |
Taiwan_National Chiayi University | 0.13 | 0.12 | 0.12 | 0.08 | 0.00 | 0.23 | 0.24 | 0.10 | 0.28 | 0.00 | 0.11 | 0.21 | 0.06 | 0.08 | 0.10 | 0.34 | 0.20 | 0.25 | 0.53 | 0.67 | 0.24 | 355 |
Thailand_University of the Thai Chamber of Commerce | 0.12 | 0.23 | 0.04 | 0.04 | 0.00 | 0.05 | 0.04 | 0.06 | 0.05 | 0.00 | 0.43 | 0.20 | 0.81 | 0.08 | 0.38 | 0.16 | 0.07 | 0.04 | 0.15 | 0.20 | 0.13 | 384 |
Canada_Simon Fraser University | 0.12 | 0.09 | 0.50 | 0.29 | 0.58 | 0.76 | 0.78 | 0.67 | 0.80 | 0.57 | 0.91 | 0.89 | 0.78 | 0.64 | 0.82 | 0.71 | 0.47 | 0.66 | 0.68 | 0.48 | 0.69 | 123 |
Iraq_University of Kirkuk | 0.11 | 0.06 | 0.06 | 0.04 | 0.00 | 0.06 | 0.26 | 0.08 | 0.04 | 0.00 | 0.40 | 0.03 | 0.97 | 0.08 | 0.37 | 0.13 | 0.05 | 0.05 | 0.11 | 0.32 | 0.13 | 385 |
Egypt_Alexandria University | 0.11 | 0.32 | 0.35 | 0.30 | 0.40 | 0.14 | 0.21 | 0.20 | 0.14 | 0.20 | 0.15 | 0.17 | 0.90 | 0.35 | 0.39 | 0.14 | 0.06 | 0.05 | 0.50 | 0.96 | 0.31 | 326 |
Greece_University of Patras | 0.11 | 0.35 | 0.40 | 0.36 | 0.24 | 0.34 | 0.22 | 0.35 | 0.32 | 0.20 | 0.09 | 0.25 | 0.58 | 0.08 | 0.24 | 0.15 | 0.06 | 0.82 | 0.23 | 0.78 | 0.28 | 345 |
Australia_Murdoch University | 0.11 | 0.01 | 0.49 | 0.14 | 0.29 | 0.60 | 0.42 | 0.53 | 0.70 | 0.25 | 0.92 | 0.95 | 0.63 | 0.38 | 0.73 | 0.52 | 0.31 | 0.77 | 0.52 | 0.42 | 0.51 | 228 |
Ireland_Maynooth University | 0.10 | 0.08 | 0.44 | 0.23 | 0.43 | 0.68 | 0.40 | 0.88 | 0.44 | 0.10 | 0.91 | 0.56 | 0.84 | 0.30 | 0.66 | 0.62 | 0.40 | 0.42 | 0.59 | 0.49 | 0.53 | 216 |
Belgium_Vrije Universiteit Brussels (VUB) | 0.10 | 0.39 | 0.94 | 0.84 | 0.64 | 0.94 | 0.32 | 0.68 | 0.96 | 0.71 | 0.63 | 0.80 | 0.89 | 0.73 | 0.78 | 0.86 | 0.64 | 0.41 | 0.93 | 0.93 | 0.81 | 47 |
Australia_Deakin University | 0.10 | 0.09 | 0.42 | 0.24 | 0.64 | 0.64 | 0.63 | 0.67 | 0.71 | 0.64 | 0.92 | 0.80 | 0.61 | 0.73 | 0.78 | 0.63 | 0.40 | 0.93 | 0.31 | 0.16 | 0.60 | 175 |
Germany_University of Gottingen | 0.09 | 0.48 | 0.97 | 0.91 | 0.86 | 0.92 | 0.00 | 0.85 | 0.91 | 0.83 | 0.58 | 0.59 | 0.75 | 0.86 | 0.71 | 0.86 | 0.62 | 0.35 | 0.90 | 0.81 | 0.78 | 62 |
Canada_University of Guelph | 0.09 | 0.08 | 0.53 | 0.30 | 0.75 | 0.70 | 0.90 | 0.48 | 0.84 | 0.74 | 0.70 | 0.44 | 0.61 | 0.00 | 0.43 | 0.83 | 0.58 | 0.63 | 0.72 | 0.51 | 0.60 | 170 |
Belgium_University of Antwerp | 0.09 | 0.26 | 0.92 | 0.75 | 0.53 | 0.96 | 0.37 | 0.78 | 0.96 | 0.64 | 0.58 | 0.69 | 0.94 | 0.62 | 0.72 | 0.76 | 0.50 | 0.53 | 0.89 | 0.92 | 0.79 | 58 |
Iran_Babol Noshirvani University of Technology | 0.09 | 0.23 | 0.30 | 0.22 | 0.29 | 0.88 | 0.07 | 0.98 | 0.89 | 0.15 | 0.00 | 0.02 | 0.09 | 0.26 | 0.07 | 0.28 | 0.13 | 0.94 | 0.36 | 0.42 | 0.41 | 273 |
Belgium_Universite Libre de Bruxelles | 0.09 | 0.63 | 0.60 | 0.65 | 0.58 | 0.81 | 0.17 | 0.84 | 0.73 | 0.57 | 0.75 | 0.94 | 0.95 | 0.43 | 0.78 | 0.53 | 0.29 | 0.42 | 0.77 | 0.92 | 0.74 | 96 |
Latvia_Riga Technical University | 0.08 | 0.30 | 0.54 | 0.45 | 0.29 | 0.20 | 0.20 | 0.44 | 0.20 | 0.25 | 0.65 | 0.53 | 0.78 | 0.48 | 0.62 | 0.35 | 0.17 | 0.09 | 0.58 | 0.86 | 0.47 | 243 |
Australia_University of Adelaide | 0.08 | 0.06 | 0.91 | 0.53 | 0.73 | 0.97 | 0.90 | 0.95 | 0.96 | 0.76 | 0.95 | 0.89 | 0.72 | 0.83 | 0.86 | 0.84 | 0.58 | 0.63 | 0.84 | 0.83 | 0.82 | 40 |
Canada_Universite du Quebec a Montreal | 0.08 | 0.12 | 0.43 | 0.27 | 0.63 | 0.44 | 0.46 | 0.51 | 0.46 | 0.64 | 0.53 | 0.69 | 0.58 | 0.78 | 0.66 | 0.43 | 0.21 | 0.80 | 0.34 | 0.29 | 0.52 | 226 |
Iran_Iran University of Science & Technology | 0.06 | 0.06 | 0.88 | 0.50 | 0.57 | 0.75 | 0.41 | 0.29 | 0.97 | 0.47 | 0.00 | 0.05 | 0.07 | 0.24 | 0.07 | 0.70 | 0.41 | 0.59 | 0.87 | 0.80 | 0.49 | 233 |
Canada_Concordia University | 0.06 | 0.10 | 0.44 | 0.26 | 0.43 | 0.42 | 0.23 | 0.39 | 0.53 | 0.44 | 0.84 | 0.88 | 0.53 | 0.60 | 0.72 | 0.50 | 0.24 | 0.80 | 0.37 | 0.28 | 0.52 | 222 |
Iraq_Madenat Al-elem University College | 0.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.08 | 0.02 | 0.00 | 0.31 | 0.00 | 0.00 | 0.08 | 0.08 | 0.04 | 0.02 | 0.04 | 0.05 | 0.21 | 0.07 | 388 |
Taiwan_Chung Yuan Christian University | 0.06 | 0.07 | 0.29 | 0.14 | 0.29 | 0.44 | 0.37 | 0.14 | 0.59 | 0.51 | 0.19 | 0.53 | 0.27 | 0.43 | 0.35 | 0.52 | 0.24 | 0.47 | 0.67 | 0.60 | 0.44 | 258 |
Australia_University of Wollongong | 0.06 | 0.05 | 0.82 | 0.44 | 0.55 | 0.87 | 0.75 | 0.79 | 0.93 | 0.68 | 0.96 | 0.87 | 0.75 | 0.75 | 0.85 | 0.85 | 0.54 | 0.81 | 0.65 | 0.41 | 0.77 | 70 |
Australia_La Trobe University | 0.06 | 0.02 | 0.71 | 0.28 | 0.36 | 0.74 | 0.88 | 0.63 | 0.86 | 0.44 | 0.92 | 0.89 | 0.46 | 0.56 | 0.72 | 0.80 | 0.47 | 0.75 | 0.66 | 0.41 | 0.67 | 136 |
Australia_Monash University | 0.06 | 0.06 | 0.87 | 0.49 | 0.91 | 0.94 | 0.91 | 0.82 | 0.95 | 0.91 | 0.83 | 0.96 | 0.67 | 0.94 | 0.87 | 0.88 | 0.59 | 0.71 | 0.76 | 0.61 | 0.87 | 24 |
Iraq_Baghdad College Of Economic Sciences University | 0.06 | 0.02 | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.03 | 0.04 | 0.00 | 0.00 | 0.00 | 0.63 | 0.08 | 0.16 | 0.17 | 0.06 | 0.97 | 0.01 | 0.00 | 0.08 | 387 |
Thailand_Mahasarakham University | 0.05 | 0.08 | 0.35 | 0.19 | 0.00 | 0.12 | 0.76 | 0.12 | 0.10 | 0.00 | 0.38 | 0.05 | 0.44 | 0.08 | 0.23 | 0.08 | 0.03 | 0.83 | 0.05 | 0.11 | 0.15 | 382 |
Germany_Ludwig Maximilian University of Munich | 0.05 | 0.38 | 0.99 | 0.95 | 0.93 | 0.99 | 0.67 | 0.89 | 1.00 | 0.93 | 0.61 | 0.69 | 0.79 | 0.93 | 0.77 | 0.98 | 0.87 | 0.08 | 1.00 | 0.99 | 0.89 | 17 |
Canada_York University | 0.05 | 0.03 | 0.44 | 0.18 | 0.67 | 0.57 | 0.38 | 0.60 | 0.61 | 0.74 | 0.78 | 0.82 | 0.59 | 0.82 | 0.77 | 0.73 | 0.39 | 0.65 | 0.55 | 0.27 | 0.58 | 186 |
Italy_Polytechnic University of Turin | 0.04 | 0.20 | 0.63 | 0.45 | 0.72 | 0.62 | 0.75 | 0.44 | 0.77 | 0.69 | 0.17 | 0.60 | 0.60 | 0.64 | 0.51 | 0.44 | 0.17 | 0.75 | 0.58 | 0.59 | 0.55 | 205 |
Belgium_Katholieke Universiteit Leuven (KU Leuven) | 0.04 | 0.14 | 0.95 | 0.74 | 0.92 | 0.95 | 0.32 | 0.77 | 0.95 | 0.92 | 0.66 | 0.65 | 0.94 | 0.92 | 0.81 | 0.87 | 0.53 | 0.49 | 0.89 | 0.90 | 0.77 | 69 |
Germany_University of Cologne | 0.04 | 0.48 | 0.97 | 0.91 | 0.61 | 0.75 | 0.97 | 0.70 | 0.74 | 0.60 | 0.51 | 0.68 | 0.71 | 0.68 | 0.66 | 0.89 | 0.58 | 0.45 | 0.75 | 0.66 | 0.74 | 97 |
Germany_University of Wurzburg | 0.04 | 0.42 | 0.97 | 0.89 | 0.49 | 0.99 | 0.42 | 0.84 | 0.98 | 0.51 | 0.65 | 0.51 | 0.79 | 0.62 | 0.65 | 0.84 | 0.49 | 0.20 | 0.99 | 0.98 | 0.81 | 46 |
Belgium_Ghent University | 0.04 | 0.14 | 0.96 | 0.75 | 0.86 | 0.95 | 0.41 | 0.77 | 0.97 | 0.86 | 0.51 | 0.50 | 0.89 | 0.87 | 0.71 | 0.77 | 0.41 | 0.55 | 0.88 | 0.95 | 0.78 | 65 |
Egypt_Cairo University | 0.03 | 0.06 | 0.46 | 0.22 | 0.73 | 0.24 | 0.32 | 0.38 | 0.22 | 0.66 | 0.21 | 0.14 | 0.64 | 0.74 | 0.43 | 0.19 | 0.06 | 0.95 | 0.08 | 0.07 | 0.36 | 302 |
Egypt_Kafrelsheikh University | 0.03 | 0.14 | 0.22 | 0.13 | 0.00 | 0.15 | 0.07 | 0.62 | 0.13 | 0.00 | 0.22 | 0.09 | 0.97 | 0.08 | 0.33 | 0.10 | 0.03 | 0.52 | 0.11 | 0.27 | 0.29 | 338 |
Germany_Darmstadt University of Technology | 0.03 | 0.13 | 0.98 | 0.85 | 0.64 | 0.81 | 0.84 | 0.43 | 0.91 | 0.57 | 0.54 | 0.70 | 0.71 | 0.66 | 0.66 | 0.92 | 0.60 | 0.21 | 0.96 | 0.84 | 0.73 | 102 |
France_Universite de Paris-Nord - Paris 13 | 0.03 | 0.18 | 0.43 | 0.30 | 0.19 | 0.52 | 0.13 | 0.44 | 0.62 | 0.00 | 0.72 | 0.45 | 0.51 | 0.24 | 0.48 | 0.17 | 0.04 | 0.75 | 0.49 | 0.86 | 0.47 | 247 |
Taiwan_Chaoyang University of Technology | 0.03 | 0.02 | 0.11 | 0.05 | 0.46 | 0.18 | 0.40 | 0.09 | 0.22 | 0.51 | 0.23 | 0.39 | 0.05 | 0.43 | 0.27 | 0.44 | 0.15 | 0.28 | 0.36 | 0.24 | 0.30 | 335 |
Germany_University of Freiburg | 0.02 | 0.05 | 1.00 | 0.89 | 0.79 | 0.98 | 0.12 | 0.74 | 0.98 | 0.74 | 0.69 | 0.81 | 0.77 | 0.79 | 0.78 | 0.91 | 0.57 | 0.24 | 0.98 | 0.99 | 0.75 | 86 |
Greece_Athens University of Economics and Business | 0.02 | 0.08 | 0.45 | 0.25 | 0.19 | 0.29 | 0.51 | 0.28 | 0.38 | 0.20 | 0.12 | 0.26 | 0.82 | 0.21 | 0.35 | 0.20 | 0.05 | 0.31 | 0.60 | 0.89 | 0.38 | 294 |
Israel_Interdisciplinary Center Herzliya (IDC Herzliya) | 0.02 | 0.02 | 0.00 | 0.00 | 0.00 | 0.20 | 0.00 | 0.34 | 0.21 | 0.00 | 0.09 | 0.83 | 0.60 | 0.08 | 0.40 | 0.65 | 0.21 | 0.85 | 0.13 | 0.13 | 0.29 | 337 |
Mexico_Universidad de Guadalajara | 0.01 | 0.08 | 0.24 | 0.12 | 0.24 | 0.17 | 0.29 | 0.12 | 0.15 | 0.25 | 0.21 | 0.04 | 0.41 | 0.28 | 0.22 | 0.71 | 0.22 | 0.19 | 0.27 | 0.15 | 0.26 | 350 |
Germany_Humboldt University of Berlin | 0.01 | 0.24 | 0.98 | 0.88 | 0.90 | 0.99 | 0.39 | 0.82 | 1.00 | 0.90 | 0.64 | 0.71 | 0.69 | 0.90 | 0.75 | 0.85 | 0.33 | 0.89 | 0.71 | 0.72 | 0.81 | 49 |
Germany_University of Konstanz | 0.01 | 0.10 | 0.98 | 0.79 | 0.58 | 0.88 | 0.50 | 0.60 | 0.94 | 0.63 | 0.61 | 0.60 | 0.84 | 0.60 | 0.67 | 0.91 | 0.45 | 0.15 | 0.98 | 0.97 | 0.72 | 115 |
Germany_University of Erlangen Nuremberg | 0.01 | 0.18 | 0.99 | 0.90 | 0.51 | 0.98 | 0.91 | 0.74 | 0.99 | 0.60 | 0.49 | 0.55 | 0.67 | 0.48 | 0.56 | 0.98 | 0.74 | 0.55 | 0.92 | 0.45 | 0.73 | 103 |
Germany_Free University of Berlin | 0.01 | 0.16 | 0.99 | 0.91 | 0.87 | 1.00 | 0.57 | 0.72 | 1.00 | 0.88 | 0.61 | 0.79 | 0.65 | 0.88 | 0.75 | 0.89 | 0.37 | 0.87 | 0.82 | 0.68 | 0.82 | 43 |
Germany_Technical University of Berlin | 0.01 | 0.07 | 0.99 | 0.87 | 0.88 | 0.88 | 0.82 | 0.58 | 0.95 | 0.87 | 0.55 | 0.82 | 0.68 | 0.88 | 0.75 | 0.96 | 0.58 | 0.31 | 0.94 | 0.74 | 0.81 | 51 |
Germany_RWTH Aachen University | 0.01 | 0.17 | 0.99 | 0.93 | 0.86 | 0.98 | 0.90 | 0.79 | 0.98 | 0.86 | 0.51 | 0.78 | 0.65 | 0.86 | 0.72 | 0.95 | 0.53 | 0.24 | 0.98 | 0.85 | 0.83 | 35 |
Turkey_Istanbul University | 0.00 | 0.07 | 0.80 | 0.47 | 0.72 | 0.32 | 0.35 | 0.19 | 0.39 | 0.70 | 0.41 | 0.32 | 0.14 | 0.70 | 0.39 | 0.46 | 0.09 | 0.11 | 0.83 | 0.96 | 0.42 | 270 |
Germany_University of Hannover | 0.00 | 0.07 | 0.98 | 0.76 | 0.58 | 0.82 | 0.55 | 0.52 | 0.92 | 0.61 | 0.49 | 0.61 | 0.59 | 0.67 | 0.60 | 0.94 | 0.43 | 0.40 | 0.89 | 0.66 | 0.62 | 154 |
South Africa_University of South Africa | 0.00 | 0.01 | 0.47 | 0.07 | 0.36 | 0.18 | 1.00 | 0.26 | 0.24 | 0.25 | 0.45 | 0.36 | 0.43 | 0.35 | 0.40 | 0.78 | 0.09 | 0.88 | 0.13 | 0.02 | 0.30 | 328 |
The final step is to compare the results of the partial rankings to the corresponding part of the original rankings. The results of the Spearman’s rank correlation shows a strong positive relationship between the two rankings.
## [1] 0.9348151
##
## Spearman's rank correlation rho
##
## data: B$Rank and RANK_RUR[rownames(B), ]
## S = 649416, p-value < 2.2e-16
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
## rho
## 0.9348151
Only the first Median Top League A is significant (see Table 1), Q1, D1 Top Leagues cannot satisfy the all criteria, such as significance, stability, high correlation of partial ranks. However, the hierarchical biclustering found one bicluster what satisfies all of the three criteria.
To identify the lower league(s), the reverse data matrix is needed to be calculated firstly. Applying the iBBiG method on the reversed normalized data can specify the lower league biclusters.
rmtx <- 1-mtx
rres <- iBBiG(binaryMatrix=binarize(rmtx,threshold = NA),nModules = 2,alpha=0.33
,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## [1] "Threshold: 0.5"
## Module: 1 ... done
## Module: 2 ... done
##
## An object of class iBBiG
##
## Number of Clusters found: 2
##
## First 2 Cluster scores and sizes:
## M 1 M 2
## Cluster Score 3904.349 686
## Number of Rows: 430.000 343
## Number of Columns: 17.000 2
The results above show that the iBBiG algorithm found 2 biclusters on the reversed data. In the first bicluster there are 430 rows (HEIs) and 17 columns (indicators), while the second bicluster has 343 rows (HEIs) and 2 columns (indicators). The next step is to calculate F-tests to determine which bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:rres@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=rmtx,bicResult=rres,number=i)
}
kable(Obs.FStat,caption = "**Table 9** The results of row and column effects of the reversed data for the two biclusters")
|
|
In Table 9 the results of the F-tests can be seen. In the case of the first bicluster, both the row and column effect are significant. On the other hand, in the case of the second bicluster the row effect is not significant; thus the second bicluster is not significant. Only the first bicluster is significant which is the lower league (League C).
The next step is to identify the lower league bicluster.
## [1] "Threshold: 0.5"
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 3904.349 and
## 430 Rows and 17 columns
The results of the iBBiG algorithm on the reversed data can be seen above. The algorithm found one bicluster in which there are 430 rows (HEIs) and 17 columns (indicators). The following step is to calculate the F-tests to determine whether the bicluster is significant or not.
In Table 5 the results of the row and column effects (F-tests) can be read. Both the row and column effects are significant, so the lower league bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:rres@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=rmtx,bicResult=rres,number=i)
}
kable(Obs.FStat,caption = "**Table 10** The results of row and column effects of the lower league")
|
To see the differences between those HEIs that are included in the lower league and those that are not in the lower league, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 19). On Fig. 19 the red line indicates those HEIs that are included in the lower league, while the black line shows the remaining HEIs. The HEIs in the lower league have lower means, medians, and variances.
Fig. 19 Mean, median, variance and MAD for lower leauge HEIs
One can do the same for the columns (indicators). Fig. 20 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. The red line indicates those indicators that are in the lower league, while the black line shows the remaining indicators.
Fig. 20 Mean, median, variance and MAD for lower leauge indicators
Fig. 21 depicts the heat map of the lower league. The lower league contains 430 HEIs and 17 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 21 Heat map of the lower leauge
Fig. 22 shows results of iBBiG on reversed normalized data. The lower league can be seen in the upper left corner of Fig. 22 which is enlarged on Fig. 21.
Fig. 22 Heat map of the output after applying iBBiG on reversed normalized data
The next step is to check the stability of the lower league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=rres,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 0.9340393 1.1587810
## [2,] 1.0864135 0.8941779
## [3,] 1.0682840 1.2686315
## [4,] 1.0986725 0.5775974
## [5,] 0.9164469 1.2806748
## [6,] 0.9362912 0.5506147
## [7,] 1.0006288 1.0249467
## [8,] 0.9006263 1.8089787
## [9,] 0.9936582 0.6912787
## [10,] 0.9864846 1.0536790
## [11,] 0.9808971 0.5698071
## [12,] 1.0629447 0.9948455
## [13,] 0.9280725 1.3551924
## [14,] 0.9793019 1.5244218
## [15,] 1.0611563 0.8705833
## [16,] 1.1414080 0.7284920
## [17,] 1.0019560 0.8576313
## [18,] 1.0986342 0.7378892
## [19,] 0.9672636 1.1793005
## [20,] 0.9187165 0.8816088
## [21,] 1.0582440 1.3161186
## [22,] 1.0680947 0.7518328
## [23,] 0.9961640 1.1125051
## [24,] 1.0601279 0.6580757
## [25,] 0.9941924 1.2917385
## [26,] 0.9683676 0.4780805
## [27,] 0.9396512 1.0734670
## [28,] 1.0555915 0.9061563
## [29,] 1.0485873 0.8852000
## [30,] 0.8828026 1.2710385
## [31,] 0.9203372 0.8734621
## [32,] 0.9537798 0.7498350
## [33,] 0.7923910 1.1531130
## [34,] 0.9775853 1.0582386
## [35,] 0.9422213 1.4764410
## [36,] 0.9206174 1.1959911
## [37,] 0.9747330 0.4724154
## [38,] 1.0293999 0.7909041
## [39,] 0.9856884 1.6238014
## [40,] 1.0639676 1.1564874
## [41,] 1.1338556 0.7535590
## [42,] 0.9630277 1.1183591
## [43,] 1.0825844 0.8191844
## [44,] 0.8737495 0.7097833
## [45,] 1.0370645 1.0867830
## [46,] 1.0203154 1.2475277
## [47,] 1.0008880 0.7393900
## [48,] 1.0356046 0.6218392
## [49,] 1.0323543 1.6271046
## [50,] 0.9596680 1.0227117
## [51,] 0.9221662 0.8044236
## [52,] 0.9661657 0.5776789
## [53,] 0.9192206 1.3631454
## [54,] 1.0384024 0.9944950
## [55,] 0.9647707 0.7773826
## [56,] 0.8859252 0.9876341
## [57,] 1.1144698 1.5852183
## [58,] 0.9138342 0.7125369
## [59,] 1.0159799 1.3149507
## [60,] 0.9943170 0.8231700
## [61,] 0.9428632 0.5469518
## [62,] 1.0270023 1.1288021
## [63,] 0.9454882 1.1487804
## [64,] 0.9988466 1.2251444
## [65,] 1.0014411 0.8946767
## [66,] 0.9922708 1.2642927
## [67,] 1.0421091 0.8349491
## [68,] 0.9989845 0.8120099
## [69,] 1.0964267 0.9551519
## [70,] 0.9416845 1.5130061
## [71,] 1.0556345 0.7547419
## [72,] 1.1628451 1.1479847
## [73,] 0.8983307 0.6624390
## [74,] 1.0167932 0.6354636
## [75,] 0.9943982 1.4847467
## [76,] 1.0495664 0.9172838
## [77,] 1.0591524 0.9459405
## [78,] 0.9265992 1.4322529
## [79,] 0.9274006 1.2542660
## [80,] 0.9558407 0.7740541
## [81,] 0.9878011 0.6426957
## [82,] 0.9184537 0.8035013
## [83,] 0.9730141 0.9287308
## [84,] 0.8694303 0.7545352
## [85,] 0.9611491 0.7633971
## [86,] 0.8987721 0.8955948
## [87,] 1.0081818 1.2751852
## [88,] 1.0520708 1.7988252
## [89,] 0.9711074 0.7373232
## [90,] 1.0620300 1.0778651
## [91,] 1.1092772 1.0076845
## [92,] 0.9065286 1.2021386
## [93,] 1.0363814 1.3765398
## [94,] 1.0008030 0.8345422
## [95,] 1.0198712 1.0625564
## [96,] 1.1098589 0.4265016
## [97,] 1.0789944 0.7459493
## [98,] 1.0474617 1.9277439
## [99,] 1.0214080 0.9586083
## [100,] 1.1351635 0.8724236
##
## $observedFstatRow
## [1] 6.995732
##
## $observedFstatCol
## [1] 16.39447
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0
Since the bootstrapPvalueCol are and bootstrapPvalueCol lower than 0.01, the bicluster is stable.
The next step is to calculate partial rankings based on the indicators and HEIs in the lower league. The calculation of each score of each indicator of the HEIs are done according to the method used in the original RUR ranking. The original weights of RUR’s indicators are used, and the total scores for the HEIs are calculated using the selected indicators in the given bicluster. Table 13 shows the result of partial ranking in the case of the lower league.
C<-biclust::bicluster(mtx,rres,number=1)
B<-as.data.frame(C[[1]])
selectedweight<-weights[,colnames(B)]
cols <- colnames(B)
sw<-weights[,cols]
BR<-rowSums(B[,cols]*sw)/max(rowSums(B[,cols]*sw))
B$Overall_Score<-BR
B$Rank<-rank(-B$Overall_Score)
kable(B,caption = "**Table 13** League C by iBBiG",digits = 2)
T3 | T4 | T5 | R1 | R2 | R3 | R4 | R5 | I1 | I2 | I3 | I4 | I5 | F1 | F2 | F4 | F5 | Overall_Score | Rank | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Belarus_National Institute of Higher Education | 0.12 | 0.00 | 0.19 | 0.00 | 0.05 | 0.00 | 0.00 | 0.15 | 0.00 | 0.00 | 0.00 | 0.26 | 0.05 | 0.94 | 1.00 | 0.98 | 0.75 | 0.52 | 250 |
Iraq_Al-Karkh University of Science | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.03 | 0.03 | 0.00 | 0.24 | 0.00 | 1.00 | 0.08 | 0.32 | 0.01 | 0.01 | 0.20 | 1.00 | 0.30 | 362 |
Iraq_University of Information Technology and Communications | 0.00 | 0.00 | 0.00 | 0.01 | 0.00 | 0.02 | 0.02 | 0.00 | 0.00 | 0.00 | 1.00 | 0.08 | 0.26 | 0.11 | 0.86 | 0.13 | 0.21 | 0.37 | 323 |
Iraq_Al-Qasim green university Iraq | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.14 | 0.07 | 0.00 | 0.00 | 0.00 | 0.99 | 0.08 | 0.26 | 0.09 | 0.63 | 0.09 | 0.12 | 0.35 | 337 |
Russia_European University at St. Petersburg | 0.00 | 0.00 | 0.33 | 0.10 | 0.00 | 0.17 | 0.17 | 0.31 | 0.55 | 0.77 | 0.11 | 0.08 | 0.37 | 0.25 | 0.88 | 0.24 | 0.36 | 0.43 | 286 |
Russia_Mechnikov St Petersburg State Medical Academy | 0.03 | 0.03 | 0.00 | 0.11 | 0.73 | 0.49 | 0.06 | 0.00 | 0.03 | 0.40 | 0.67 | 0.08 | 0.29 | 0.62 | 0.96 | 0.06 | 0.01 | 0.51 | 255 |
Brazil_A.C.Camargo Cancer Center | 0.90 | 1.00 | 0.00 | 0.66 | 0.99 | 0.32 | 0.86 | 0.00 | 0.00 | 0.05 | 0.41 | 0.08 | 0.12 | 1.00 | 1.00 | 0.36 | 0.01 | 0.83 | 52 |
Kazakhstan_Shakarim University | 0.04 | 0.04 | 0.00 | 0.02 | 0.97 | 0.02 | 0.02 | 0.00 | 0.00 | 0.00 | 0.96 | 0.08 | 0.25 | 0.02 | 0.10 | 0.03 | 0.39 | 0.31 | 353 |
Japan_Yokohama City University | 0.23 | 0.60 | 0.19 | 0.49 | 0.68 | 0.48 | 0.44 | 0.15 | 0.28 | 0.13 | 0.09 | 0.43 | 0.22 | 0.19 | 0.70 | 0.30 | 0.43 | 0.54 | 242 |
Russia_Bauman Moscow State Technical University | 0.28 | 0.78 | 0.79 | 0.08 | 0.10 | 0.05 | 0.09 | 0.76 | 0.46 | 0.41 | 0.05 | 0.68 | 0.40 | 0.17 | 0.64 | 0.62 | 0.94 | 0.69 | 153 |
Iraq_Hawler Medical University | 0.03 | 0.05 | 0.00 | 0.00 | 0.06 | 0.00 | 0.00 | 0.00 | 0.19 | 0.11 | 0.00 | 0.08 | 0.08 | 0.44 | 0.87 | 0.29 | 0.18 | 0.24 | 387 |
Russia_Ufa State Aviation Technical University | 0.04 | 0.06 | 0.24 | 0.09 | 0.04 | 0.24 | 0.08 | 0.31 | 0.03 | 0.09 | 0.51 | 0.43 | 0.26 | 0.03 | 0.10 | 0.01 | 0.01 | 0.23 | 391 |
Kazakhstan_Al-Farabi Kazakh National University | 0.23 | 0.39 | 0.33 | 0.07 | 0.39 | 0.07 | 0.08 | 0.15 | 0.71 | 0.55 | 0.90 | 0.60 | 0.70 | 0.06 | 0.26 | 0.32 | 0.88 | 0.79 | 71 |
Kazakhstan_L.N. Gumilyov Eurasian National University | 0.08 | 0.15 | 0.43 | 0.11 | 0.23 | 0.20 | 0.08 | 0.25 | 0.60 | 0.17 | 0.94 | 0.24 | 0.49 | 0.04 | 0.13 | 0.07 | 0.39 | 0.49 | 261 |
China_Southern Medical University - China | 0.44 | 0.77 | 0.24 | 0.39 | 0.87 | 0.37 | 0.37 | 0.00 | 0.11 | 0.31 | 0.08 | 0.08 | 0.13 | 0.30 | 0.72 | 0.56 | 0.70 | 0.68 | 157 |
Japan_University of Yamanashi | 0.26 | 0.50 | 0.19 | 0.39 | 0.89 | 0.25 | 0.38 | 0.47 | 0.20 | 0.21 | 0.14 | 0.18 | 0.17 | 0.53 | 0.86 | 0.33 | 0.18 | 0.70 | 144 |
Russia_Lobachevsky University | 0.38 | 0.65 | 0.57 | 0.16 | 0.68 | 0.13 | 0.18 | 0.57 | 0.24 | 0.42 | 0.33 | 0.60 | 0.40 | 0.11 | 0.30 | 0.32 | 0.83 | 0.74 | 113 |
Japan_Gifu University | 0.31 | 0.56 | 0.29 | 0.36 | 0.88 | 0.16 | 0.44 | 0.20 | 0.55 | 0.24 | 0.16 | 0.48 | 0.35 | 0.21 | 0.54 | 0.28 | 0.36 | 0.76 | 94 |
Russia_Saint Petersburg State University | 0.38 | 0.72 | 0.88 | 0.30 | 0.20 | 0.23 | 0.37 | 0.83 | 0.34 | 0.58 | 0.52 | 0.78 | 0.56 | 0.20 | 0.50 | 0.46 | 0.77 | 0.92 | 15 |
Japan_Tottori University | 0.23 | 0.38 | 0.09 | 0.33 | 0.79 | 0.16 | 0.40 | 0.10 | 0.31 | 0.11 | 0.15 | 0.21 | 0.18 | 0.25 | 0.58 | 0.18 | 0.15 | 0.55 | 229 |
Canada_University of Quebec at Chicoutimi | 0.00 | 0.00 | 0.19 | 0.24 | 0.00 | 0.37 | 0.22 | 0.25 | 0.00 | 0.84 | 0.60 | 0.38 | 0.46 | 0.43 | 0.78 | 0.67 | 0.66 | 0.60 | 198 |
Japan_Kumamoto University | 0.31 | 0.53 | 0.33 | 0.41 | 0.70 | 0.25 | 0.44 | 0.47 | 0.25 | 0.36 | 0.22 | 0.56 | 0.34 | 0.59 | 0.85 | 0.47 | 0.32 | 0.82 | 54 |
Spain_IQS Universitat Ramon Llull | 0.05 | 0.19 | 0.00 | 0.42 | 0.08 | 0.68 | 0.37 | 0.10 | 0.47 | 0.65 | 0.86 | 0.08 | 0.52 | 0.44 | 0.78 | 0.34 | 0.48 | 0.73 | 123 |
Japan_Okayama University | 0.33 | 0.54 | 0.46 | 0.53 | 0.44 | 0.34 | 0.54 | 0.51 | 0.32 | 0.41 | 0.29 | 0.64 | 0.41 | 0.48 | 0.79 | 0.43 | 0.34 | 0.77 | 86 |
Russia_Tver State Technical University | 0.19 | 0.28 | 0.09 | 0.10 | 0.14 | 0.06 | 0.10 | 0.00 | 0.00 | 0.67 | 0.48 | 0.08 | 0.30 | 0.06 | 0.15 | 0.11 | 0.27 | 0.38 | 314 |
Russia_Bashkirian State Medical University | 0.06 | 0.98 | 0.00 | 0.07 | 0.08 | 0.10 | 0.07 | 0.00 | 0.07 | 0.44 | 0.18 | 0.08 | 0.18 | 0.13 | 0.31 | 0.06 | 0.05 | 0.27 | 379 |
Russia_Kursk State Medical University | 0.35 | 0.79 | 0.00 | 0.06 | 0.55 | 0.11 | 0.05 | 0.00 | 0.04 | 0.96 | 0.19 | 0.08 | 0.31 | 0.06 | 0.14 | 0.06 | 0.09 | 0.37 | 319 |
Russia_Sechenov University | 0.28 | 0.55 | 0.36 | 0.12 | 0.21 | 0.09 | 0.14 | 0.40 | 0.45 | 0.68 | 0.32 | 0.60 | 0.51 | 0.41 | 0.74 | 0.18 | 0.08 | 0.58 | 216 |
Belarus_Belarusian State University | 0.08 | 0.09 | 0.40 | 0.23 | 0.08 | 0.89 | 0.14 | 0.31 | 0.49 | 0.46 | 0.98 | 0.43 | 0.60 | 0.09 | 0.19 | 0.27 | 0.78 | 0.79 | 70 |
Ukraine_National University of Ostroh Academy | 0.20 | 0.37 | 0.13 | 0.01 | 0.14 | 0.09 | 0.02 | 0.51 | 0.57 | 0.06 | 0.00 | 0.43 | 0.26 | 0.03 | 0.05 | 0.02 | 0.03 | 0.32 | 351 |
Ukraine_National Technical University Kharkiv Polytechnic Institute | 0.12 | 0.20 | 0.19 | 0.08 | 0.34 | 0.08 | 0.08 | 0.35 | 0.08 | 0.47 | 0.63 | 0.21 | 0.34 | 0.02 | 0.05 | 0.04 | 0.21 | 0.35 | 332 |
Russia_Siberian State Medical University | 0.08 | 0.14 | 0.00 | 0.12 | 0.22 | 0.15 | 0.12 | 0.00 | 0.10 | 0.76 | 0.14 | 0.08 | 0.26 | 0.14 | 0.31 | 0.10 | 0.11 | 0.26 | 384 |
China_Guangzhou Medical University | 0.12 | 0.35 | 0.00 | 0.40 | 0.55 | 0.43 | 0.37 | 0.00 | 0.52 | 0.10 | 0.12 | 0.08 | 0.19 | 0.14 | 0.30 | 0.27 | 0.61 | 0.54 | 235 |
India_Manipal Academy of Higher Education | 0.23 | 0.42 | 0.43 | 0.17 | 0.92 | 0.17 | 0.18 | 0.44 | 0.40 | 0.54 | 0.24 | 0.60 | 0.44 | 0.21 | 0.45 | 0.25 | 0.34 | 0.74 | 109 |
Japan_Yamagata University | 0.19 | 0.31 | 0.00 | 0.36 | 0.94 | 0.23 | 0.38 | 0.10 | 0.32 | 0.11 | 0.21 | 0.21 | 0.20 | 0.47 | 0.76 | 0.40 | 0.31 | 0.65 | 169 |
Russia_Gubkin Russian State University of Oil and Gas | 0.07 | 0.15 | 0.13 | 0.11 | 0.07 | 0.05 | 0.13 | 0.54 | 0.06 | 0.36 | 0.26 | 0.53 | 0.30 | 0.24 | 0.51 | 0.41 | 0.59 | 0.48 | 269 |
USA_The New School | 0.18 | 0.32 | 0.49 | 0.16 | 0.86 | 0.57 | 0.15 | 0.44 | 0.36 | 0.93 | 0.19 | 0.66 | 0.54 | 0.51 | 0.78 | 0.20 | 0.07 | 0.78 | 81 |
Japan_Toyohashi University of Technology | 0.31 | 0.40 | 0.43 | 0.37 | 0.92 | 0.14 | 0.51 | 0.54 | 0.33 | 0.38 | 0.11 | 0.43 | 0.30 | 0.36 | 0.67 | 0.47 | 0.51 | 0.78 | 80 |
Ukraine_National Taras Shevchenko University of Kyiv | 0.26 | 0.45 | 0.63 | 0.18 | 0.78 | 0.12 | 0.17 | 0.57 | 0.10 | 0.17 | 0.77 | 0.43 | 0.36 | 0.05 | 0.12 | 0.07 | 0.19 | 0.60 | 196 |
Japan_Osaka City University | 0.38 | 0.57 | 0.24 | 0.41 | 0.72 | 0.22 | 0.47 | 0.25 | 0.43 | 0.21 | 0.20 | 0.38 | 0.30 | 0.67 | 0.85 | 0.38 | 0.18 | 0.73 | 120 |
Argentina_Austral University (Argentina) | 0.05 | 0.14 | 0.19 | 0.14 | 0.73 | 0.31 | 0.11 | 0.35 | 0.32 | 0.38 | 0.57 | 0.48 | 0.44 | 0.14 | 0.29 | 0.05 | 0.04 | 0.43 | 287 |
Russia_Perm National Research Polytechnic University | 0.13 | 0.20 | 0.09 | 0.09 | 0.13 | 0.03 | 0.13 | 0.10 | 0.06 | 0.39 | 0.04 | 0.08 | 0.13 | 0.15 | 0.30 | 0.59 | 0.94 | 0.40 | 305 |
China_Jiangnan University | 0.22 | 0.27 | 0.29 | 0.43 | 0.34 | 0.40 | 0.47 | 0.31 | 0.17 | 0.09 | 0.13 | 0.21 | 0.13 | 0.31 | 0.59 | 0.55 | 0.64 | 0.56 | 228 |
Russia_Kazan National Research Technical University named after A.N. Tupolev | 0.17 | 0.27 | 0.19 | 0.09 | 0.15 | 0.06 | 0.12 | 0.10 | 0.27 | 0.48 | 0.15 | 0.18 | 0.26 | 0.20 | 0.42 | 0.47 | 0.74 | 0.46 | 274 |
Bulgaria_University of Sofia | 0.27 | 0.35 | 0.43 | 0.23 | 0.39 | 0.59 | 0.18 | 0.51 | 0.19 | 0.32 | 0.90 | 0.32 | 0.43 | 0.05 | 0.10 | 0.13 | 0.50 | 0.59 | 211 |
USA_University of Vermont | 0.45 | 0.58 | 0.29 | 0.57 | 0.80 | 0.72 | 0.50 | 0.20 | 0.23 | 0.35 | 0.34 | 0.26 | 0.29 | 0.63 | 0.82 | 0.43 | 0.26 | 0.72 | 126 |
Taiwan_National Central University | 0.31 | 0.56 | 0.36 | 0.40 | 0.31 | 0.35 | 0.39 | 0.31 | 0.56 | 0.50 | 0.48 | 0.38 | 0.48 | 0.29 | 0.54 | 0.73 | 1.00 | 0.92 | 14 |
China_Jiangsu University | 0.10 | 0.20 | 0.00 | 0.28 | 0.45 | 0.51 | 0.24 | 0.00 | 0.78 | 0.23 | 0.04 | 0.08 | 0.27 | 0.15 | 0.26 | 0.34 | 0.86 | 0.51 | 254 |
India_Jamia Millia Islamia | 0.67 | 0.79 | 0.13 | 0.17 | 0.35 | 0.31 | 0.14 | 0.10 | 0.25 | 0.15 | 0.42 | 0.18 | 0.24 | 0.20 | 0.40 | 0.09 | 0.23 | 0.51 | 257 |
Pakistan_Institute of Space Technology | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.00 | 0.01 | 0.00 | 0.00 | 0.00 | 1.00 | 0.08 | 0.26 | 0.18 | 0.35 | 0.13 | 0.17 | 0.20 | 399 |
Tunisia_University of Monastir | 0.35 | 0.52 | 0.29 | 0.20 | 0.10 | 0.14 | 0.23 | 0.10 | 0.05 | 0.11 | 0.86 | 0.43 | 0.36 | 0.01 | 0.01 | 0.02 | 0.11 | 0.34 | 339 |
Japan_Chiba University | 0.48 | 0.63 | 0.33 | 0.52 | 0.53 | 0.30 | 0.57 | 0.31 | 0.33 | 0.27 | 0.23 | 0.35 | 0.29 | 0.30 | 0.53 | 0.47 | 0.61 | 0.77 | 90 |
Republic of Korea_Hallym University | 0.13 | 0.16 | 0.00 | 0.44 | 0.36 | 0.15 | 0.60 | 0.00 | 0.26 | 0.27 | 0.05 | 0.08 | 0.15 | 0.34 | 0.60 | 0.37 | 0.41 | 0.40 | 309 |
Japan_University of the Ryukyus | 0.14 | 0.21 | 0.58 | 0.36 | 0.34 | 0.18 | 0.38 | 0.44 | 0.27 | 0.13 | 0.28 | 0.60 | 0.31 | 0.51 | 0.74 | 0.27 | 0.12 | 0.65 | 171 |
Slovakia_Comenius University in Bratislava | 0.38 | 0.68 | 0.43 | 0.35 | 0.64 | 0.45 | 0.31 | 0.20 | 0.26 | 0.61 | 0.87 | 0.38 | 0.54 | 0.13 | 0.24 | 0.37 | 0.81 | 0.74 | 114 |
Spain_Polytechnic University of Valencia | 0.24 | 0.38 | 0.65 | 0.35 | 0.10 | 0.39 | 0.36 | 0.66 | 0.15 | 0.53 | 0.52 | 0.70 | 0.48 | 0.27 | 0.48 | 0.36 | 0.62 | 0.69 | 151 |
Japan_Kanazawa University | 0.41 | 0.56 | 0.29 | 0.47 | 0.74 | 0.24 | 0.52 | 0.15 | 0.25 | 0.30 | 0.16 | 0.43 | 0.28 | 0.61 | 0.81 | 0.55 | 0.44 | 0.77 | 92 |
Russia_Magnitogorsk State Technical University | 0.04 | 0.05 | 0.00 | 0.05 | 0.04 | 0.03 | 0.06 | 0.00 | 0.00 | 0.19 | 0.07 | 0.08 | 0.07 | 0.06 | 0.12 | 0.16 | 0.47 | 0.18 | 402 |
Russia_RANEPA, The Russian Presidential Academy of National Economy and Public Administration | 0.18 | 0.31 | 0.13 | 0.04 | 0.18 | 0.15 | 0.07 | 0.15 | 0.38 | 0.25 | 0.16 | 0.43 | 0.30 | 0.44 | 0.68 | 0.38 | 0.40 | 0.42 | 300 |
Japan_Osaka Prefecture University | 0.37 | 0.50 | 0.24 | 0.44 | 0.86 | 0.20 | 0.48 | 0.51 | 0.36 | 0.20 | 0.09 | 0.48 | 0.28 | 0.29 | 0.51 | 0.35 | 0.42 | 0.59 | 206 |
Iraq_University of AL-Qadisiyah | 0.14 | 0.15 | 0.00 | 0.08 | 0.11 | 0.51 | 0.05 | 0.15 | 0.16 | 0.03 | 0.98 | 0.08 | 0.31 | 0.01 | 0.01 | 0.03 | 0.46 | 0.33 | 346 |
Tunisia_Universite de Tunis El Manar | 0.62 | 0.84 | 0.19 | 0.22 | 0.08 | 0.16 | 0.24 | 0.20 | 0.32 | 0.10 | 0.77 | 0.53 | 0.43 | 0.02 | 0.04 | 0.19 | 0.88 | 0.53 | 244 |
Thailand_Mahidol University | 0.25 | 0.40 | 0.68 | 0.37 | 0.33 | 0.34 | 0.36 | 0.66 | 0.53 | 0.21 | 0.71 | 0.35 | 0.45 | 0.95 | 0.96 | 0.63 | 0.12 | 0.78 | 79 |
Russia_The New Economic School | 0.00 | 0.00 | 0.13 | 0.22 | 0.00 | 0.20 | 0.29 | 0.10 | 0.89 | 0.10 | 0.97 | 0.08 | 0.51 | 0.73 | 0.85 | 0.34 | 0.16 | 0.54 | 239 |
Ukraine_Kharkiv National University of Radio Electronics | 0.14 | 0.17 | 0.13 | 0.07 | 0.13 | 0.21 | 0.05 | 0.31 | 0.04 | 0.47 | 0.59 | 0.08 | 0.29 | 0.03 | 0.05 | 0.04 | 0.10 | 0.31 | 355 |
Spain_University of Valladolid | 0.17 | 0.99 | 0.09 | 0.26 | 0.12 | 0.25 | 0.24 | 0.15 | 0.29 | 0.28 | 0.47 | 0.48 | 0.38 | 0.15 | 0.24 | 0.12 | 0.19 | 0.56 | 226 |
Russia_Altai State University | 0.12 | 0.29 | 0.09 | 0.12 | 0.60 | 0.18 | 0.12 | 0.10 | 0.36 | 0.61 | 0.57 | 0.08 | 0.40 | 0.08 | 0.14 | 0.19 | 0.47 | 0.48 | 267 |
Russia_Far Eastern Federal University | 0.16 | 0.25 | 0.13 | 0.17 | 0.11 | 0.11 | 0.20 | 0.31 | 0.62 | 0.74 | 0.33 | 0.21 | 0.47 | 0.37 | 0.60 | 0.30 | 0.24 | 0.55 | 231 |
Ukraine_Poltava National Technical Yuri Kondratyuk University | 0.00 | 0.00 | 0.09 | 0.03 | 0.00 | 0.04 | 0.04 | 0.10 | 0.00 | 0.30 | 0.02 | 0.08 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 425 |
Ukraine_Sumy State University | 0.26 | 0.26 | 0.46 | 0.13 | 0.69 | 0.13 | 0.11 | 0.51 | 0.04 | 0.60 | 0.89 | 0.43 | 0.49 | 0.04 | 0.06 | 0.11 | 0.43 | 0.64 | 173 |
Spain_University of Zaragoza | 0.67 | 0.80 | 0.36 | 0.42 | 0.83 | 0.43 | 0.36 | 0.40 | 0.13 | 0.33 | 0.57 | 0.43 | 0.36 | 0.15 | 0.25 | 0.22 | 0.41 | 0.86 | 31 |
Iraq_University of Baghdad | 0.29 | 0.44 | 0.33 | 0.07 | 0.65 | 0.20 | 0.05 | 0.31 | 0.17 | 0.03 | 0.83 | 0.18 | 0.30 | 0.13 | 0.19 | 0.05 | 0.08 | 0.52 | 249 |
Romania_Grigore T. Popa University of Medicine and Pharmacy | 0.14 | 0.21 | 0.13 | 0.31 | 0.23 | 0.20 | 0.38 | 0.00 | 0.03 | 0.85 | 0.24 | 0.08 | 0.29 | 0.11 | 0.18 | 0.04 | 0.04 | 0.35 | 335 |
Russia_Perm State University | 0.07 | 0.09 | 0.19 | 0.12 | 0.16 | 0.04 | 0.15 | 0.15 | 0.12 | 0.10 | 0.06 | 0.08 | 0.07 | 0.08 | 0.14 | 0.16 | 0.40 | 0.25 | 386 |
Japan_Keio University | 0.25 | 0.34 | 0.83 | 0.42 | 0.47 | 0.40 | 0.35 | 0.82 | 0.54 | 0.37 | 0.16 | 0.68 | 0.44 | 0.54 | 0.73 | 0.47 | 0.37 | 0.77 | 85 |
Iraq_Mustansiriyah University | 0.16 | 0.22 | 0.13 | 0.05 | 0.70 | 0.17 | 0.03 | 0.15 | 0.05 | 0.02 | 0.91 | 0.08 | 0.26 | 0.12 | 0.18 | 0.01 | 0.01 | 0.33 | 347 |
Russia_Kazan National Research Technological University | 0.15 | 0.29 | 0.09 | 0.11 | 0.38 | 0.05 | 0.13 | 0.00 | 0.08 | 0.51 | 0.04 | 0.08 | 0.17 | 0.12 | 0.18 | 0.31 | 0.66 | 0.38 | 315 |
Russia_Kazan Federal University | 0.36 | 0.43 | 0.65 | 0.22 | 0.76 | 0.27 | 0.21 | 0.57 | 0.50 | 0.60 | 0.58 | 0.28 | 0.49 | 0.19 | 0.33 | 0.31 | 0.57 | 0.73 | 124 |
Spain_Polytechnic University of Catalonia | 0.40 | 0.54 | 0.68 | 0.33 | 0.37 | 0.34 | 0.36 | 0.69 | 0.31 | 0.66 | 0.67 | 0.68 | 0.59 | 0.22 | 0.38 | 0.32 | 0.54 | 0.82 | 55 |
China_Jilin University | 0.49 | 0.68 | 0.24 | 0.43 | 0.43 | 0.39 | 0.41 | 0.20 | 0.30 | 0.18 | 0.09 | 0.32 | 0.21 | 0.31 | 0.51 | 0.51 | 0.65 | 0.64 | 172 |
Lithuania_Vilnius University | 0.25 | 0.39 | 0.40 | 0.35 | 0.50 | 0.48 | 0.30 | 0.31 | 0.61 | 0.45 | 0.71 | 0.43 | 0.55 | 0.13 | 0.20 | 0.43 | 0.91 | 0.86 | 33 |
Russia_Russian New University | 0.12 | 0.24 | 0.09 | 0.03 | 0.15 | 0.04 | 0.03 | 0.10 | 0.16 | 0.48 | 0.00 | 0.08 | 0.17 | 0.06 | 0.10 | 0.09 | 0.22 | 0.27 | 378 |
Russia_Moscow Pedagogical State University | 0.12 | 0.18 | 0.24 | 0.09 | 0.26 | 0.07 | 0.09 | 0.10 | 0.11 | 0.49 | 0.28 | 0.21 | 0.26 | 0.10 | 0.16 | 0.08 | 0.11 | 0.31 | 354 |
Russia_Ural Federal University | 0.17 | 0.16 | 0.58 | 0.21 | 0.13 | 0.09 | 0.25 | 0.40 | 0.72 | 0.47 | 0.30 | 0.43 | 0.48 | 0.17 | 0.30 | 0.42 | 0.78 | 0.61 | 193 |
Tunisia_Universite de Carthage | 0.33 | 0.57 | 0.00 | 0.16 | 0.83 | 0.17 | 0.17 | 0.10 | 0.13 | 0.05 | 0.93 | 0.08 | 0.29 | 0.01 | 0.01 | 0.02 | 0.09 | 0.42 | 299 |
Spain_Charles III University of Madrid | 0.31 | 0.47 | 0.64 | 0.24 | 0.29 | 0.31 | 0.27 | 0.57 | 0.47 | 0.64 | 0.73 | 0.43 | 0.57 | 0.17 | 0.28 | 0.23 | 0.47 | 0.69 | 146 |
Russia_Voronezh State University | 0.21 | 0.27 | 0.19 | 0.13 | 0.19 | 0.07 | 0.16 | 0.31 | 0.23 | 0.48 | 0.19 | 0.43 | 0.33 | 0.07 | 0.12 | 0.12 | 0.31 | 0.41 | 302 |
China_Shantou University | 0.09 | 0.13 | 0.09 | 0.40 | 0.21 | 0.44 | 0.34 | 0.00 | 0.67 | 0.06 | 0.26 | 0.18 | 0.28 | 0.48 | 0.68 | 0.46 | 0.41 | 0.47 | 272 |
Republic of Korea_Kookmin University | 0.18 | 0.22 | 0.09 | 0.22 | 0.21 | 0.26 | 0.18 | 0.15 | 0.38 | 0.47 | 0.13 | 0.21 | 0.29 | 0.17 | 0.28 | 0.32 | 0.59 | 0.39 | 310 |
USA_Creighton University | 0.99 | 0.98 | 0.24 | 0.45 | 0.68 | 0.70 | 0.33 | 0.35 | 0.20 | 0.42 | 0.35 | 0.53 | 0.37 | 0.70 | 0.82 | 0.21 | 0.06 | 0.96 | 5 |
Russia_Russian State University for the Humanities | 0.11 | 0.08 | 0.49 | 0.05 | 0.05 | 0.06 | 0.09 | 0.47 | 0.24 | 0.31 | 0.03 | 0.48 | 0.26 | 0.00 | 0.00 | 0.01 | 0.10 | 0.23 | 392 |
Ukraine_Kyiv National Economic University | 0.11 | 0.15 | 0.36 | 0.00 | 0.20 | 0.00 | 0.01 | 0.54 | 0.04 | 0.05 | 1.00 | 0.43 | 0.38 | 0.02 | 0.03 | 0.01 | 0.02 | 0.37 | 321 |
Russia_Saratov State University | 0.20 | 0.33 | 0.24 | 0.21 | 0.22 | 0.15 | 0.22 | 0.25 | 0.08 | 0.31 | 0.44 | 0.18 | 0.24 | 0.16 | 0.23 | 0.44 | 0.82 | 0.54 | 241 |
USA_West Virginia University | 0.59 | 0.70 | 0.19 | 0.39 | 0.66 | 0.59 | 0.34 | 0.25 | 0.66 | 0.45 | 0.27 | 0.28 | 0.41 | 0.23 | 0.38 | 0.35 | 0.48 | 0.66 | 166 |
Russia_Northeast Federal University | 0.69 | 0.81 | 0.09 | 0.13 | 0.66 | 0.28 | 0.11 | 0.00 | 0.55 | 0.22 | 0.66 | 0.08 | 0.38 | 0.20 | 0.32 | 0.20 | 0.22 | 0.45 | 280 |
Russia_Moscow Aviation Institute | 0.37 | 0.61 | 0.55 | 0.07 | 0.87 | 0.04 | 0.10 | 0.51 | 0.30 | 0.43 | 0.03 | 0.48 | 0.31 | 0.23 | 0.37 | 0.44 | 0.76 | 0.64 | 174 |
Colombia_Universidad Pontificia Bolivariana de Medellin-Colombia | 0.05 | 0.12 | 0.24 | 0.13 | 0.15 | 0.30 | 0.10 | 0.60 | 0.16 | 0.09 | 0.84 | 0.60 | 0.42 | 0.25 | 0.41 | 0.20 | 0.18 | 0.42 | 291 |
Russia_National Research University of Electronic Technology (MIET) | 0.19 | 0.24 | 0.29 | 0.12 | 0.12 | 0.04 | 0.17 | 0.31 | 0.23 | 0.24 | 0.21 | 0.56 | 0.31 | 0.41 | 0.60 | 0.79 | 0.91 | 0.64 | 177 |
Russia_Novosibirsk State Technical University | 0.10 | 0.14 | 0.43 | 0.15 | 0.07 | 0.10 | 0.16 | 0.47 | 0.17 | 0.75 | 0.29 | 0.43 | 0.41 | 0.10 | 0.14 | 0.21 | 0.49 | 0.54 | 243 |
Poland_Jagiellonian University | 0.27 | 0.58 | 0.68 | 0.41 | 0.25 | 0.47 | 0.40 | 0.63 | 0.21 | 0.43 | 0.53 | 0.53 | 0.42 | 0.18 | 0.29 | 0.35 | 0.60 | 0.76 | 97 |
Russia_Ryazan State Medical University | 0.13 | 0.31 | 0.09 | 0.03 | 0.95 | 0.04 | 0.04 | 0.00 | 0.13 | 0.65 | 0.08 | 0.08 | 0.22 | 0.09 | 0.13 | 0.07 | 0.09 | 0.38 | 311 |
Russia_Moscow State University of Design and Technology (MSUDT) | 0.09 | 0.11 | 0.09 | 0.04 | 0.26 | 0.01 | 0.10 | 0.00 | 0.13 | 0.40 | 0.02 | 0.21 | 0.18 | 0.07 | 0.11 | 0.07 | 0.10 | 0.20 | 401 |
Russia_Financial University under the Government of the Russian Federation | 0.15 | 0.19 | 0.90 | 0.05 | 0.09 | 0.18 | 0.09 | 0.91 | 0.08 | 0.40 | 0.06 | 0.93 | 0.37 | 0.23 | 0.36 | 0.15 | 0.13 | 0.59 | 208 |
Russia_Mordovia State University | 0.12 | 0.15 | 0.29 | 0.09 | 0.13 | 0.08 | 0.09 | 0.51 | 0.09 | 0.52 | 0.05 | 0.43 | 0.26 | 0.10 | 0.14 | 0.14 | 0.28 | 0.35 | 333 |
Russia_RUDN University | 0.93 | 0.97 | 0.33 | 0.14 | 0.83 | 0.14 | 0.16 | 0.44 | 0.26 | 0.89 | 0.37 | 0.43 | 0.49 | 0.25 | 0.41 | 0.19 | 0.15 | 0.89 | 24 |
Russia_Mendeleyev University of Chemical Technology | 0.37 | 0.56 | 0.40 | 0.19 | 0.54 | 0.06 | 0.27 | 0.35 | 0.04 | 0.16 | 0.04 | 0.21 | 0.09 | 0.18 | 0.27 | 0.42 | 0.72 | 0.48 | 265 |
China_Beijing University of Technology | 0.33 | 0.46 | 0.24 | 0.36 | 0.53 | 0.32 | 0.41 | 0.40 | 0.15 | 0.27 | 0.12 | 0.43 | 0.23 | 0.54 | 0.69 | 0.75 | 0.76 | 0.73 | 117 |
Russia_Bashkir State University | 0.19 | 0.26 | 0.13 | 0.15 | 0.42 | 0.08 | 0.16 | 0.10 | 0.03 | 0.20 | 0.06 | 0.08 | 0.08 | 0.07 | 0.11 | 0.16 | 0.43 | 0.28 | 371 |
China_Southeast University | 0.48 | 0.71 | 0.40 | 0.58 | 0.36 | 0.58 | 0.66 | 0.31 | 0.45 | 0.36 | 0.18 | 0.38 | 0.34 | 0.45 | 0.63 | 0.88 | 0.96 | 0.88 | 26 |
Russia_Volgograd State University | 0.18 | 0.20 | 0.00 | 0.10 | 0.39 | 0.03 | 0.12 | 0.00 | 0.14 | 0.19 | 0.08 | 0.08 | 0.11 | 0.07 | 0.11 | 0.09 | 0.19 | 0.21 | 395 |
Switzerland_University of St. Gallen | 0.52 | 0.75 | 0.40 | 0.21 | 0.67 | 0.53 | 0.21 | 0.40 | 0.97 | 0.93 | 0.85 | 0.30 | 0.78 | 0.32 | 0.48 | 0.30 | 0.29 | 0.89 | 25 |
Hungary_University of Debrecen | 0.20 | 0.40 | 0.19 | 0.32 | 0.29 | 0.55 | 0.26 | 0.00 | 0.43 | 0.72 | 0.72 | 0.18 | 0.51 | 0.41 | 0.58 | 0.33 | 0.26 | 0.69 | 154 |
USA_American University | 0.86 | 0.90 | 0.46 | 0.33 | 0.45 | 0.98 | 0.25 | 0.31 | 0.40 | 0.57 | 0.17 | 0.48 | 0.40 | 0.65 | 0.78 | 0.22 | 0.07 | 0.82 | 61 |
Russia_Irkutsk State University | 0.08 | 0.09 | 0.24 | 0.13 | 0.09 | 0.15 | 0.13 | 0.15 | 0.15 | 0.24 | 0.28 | 0.08 | 0.17 | 0.06 | 0.10 | 0.10 | 0.27 | 0.29 | 366 |
Russia_Plekhanov Russian University of Economics | 0.32 | 0.26 | 0.19 | 0.06 | 0.47 | 0.07 | 0.07 | 0.25 | 0.44 | 0.43 | 0.10 | 0.26 | 0.30 | 0.24 | 0.35 | 0.11 | 0.08 | 0.41 | 304 |
Iraq_Jabir Ibn Hayyan Medical University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.99 | 0.98 | 0.99 | 0.62 | 0.30 | 364 |
Taiwan_National Taiwan Normal University | 0.46 | 0.55 | 0.63 | 0.33 | 0.33 | 0.20 | 0.42 | 0.61 | 0.54 | 0.82 | 0.26 | 0.32 | 0.49 | 0.46 | 0.62 | 0.93 | 0.99 | 0.89 | 23 |
Republic of Korea_Gwangju Institute of Science and Technology | 0.94 | 0.99 | 0.19 | 0.93 | 0.19 | 0.41 | 0.98 | 0.40 | 0.44 | 0.31 | 0.40 | 0.08 | 0.30 | 0.95 | 0.94 | 0.99 | 0.87 | 1.00 | 1 |
Taiwan_Kaohsiung Medical University | 0.26 | 0.33 | 0.24 | 0.70 | 0.48 | 0.22 | 0.90 | 0.25 | 0.33 | 0.39 | 0.15 | 0.53 | 0.35 | 0.47 | 0.62 | 0.66 | 0.66 | 0.76 | 95 |
Poland_Lodz University of Technology | 0.13 | 0.20 | 0.13 | 0.26 | 0.17 | 0.16 | 0.32 | 0.15 | 0.15 | 0.22 | 0.22 | 0.08 | 0.16 | 0.19 | 0.27 | 0.25 | 0.34 | 0.33 | 345 |
Russia_Orel State University | 0.18 | 0.24 | 0.70 | 0.03 | 0.41 | 0.04 | 0.03 | 0.74 | 0.00 | 0.20 | 0.20 | 0.70 | 0.27 | 0.05 | 0.06 | 0.20 | 0.71 | 0.53 | 247 |
USA_Marquette University | 0.89 | 0.86 | 0.33 | 0.28 | 0.10 | 0.31 | 0.31 | 0.20 | 0.31 | 0.28 | 0.14 | 0.28 | 0.24 | 0.58 | 0.70 | 0.20 | 0.07 | 0.70 | 139 |
Taiwan_Chang Gung University | 0.34 | 0.47 | 0.33 | 0.61 | 0.43 | 0.22 | 0.82 | 0.44 | 0.27 | 0.27 | 0.11 | 0.53 | 0.29 | 0.57 | 0.70 | 0.66 | 0.85 | 0.82 | 60 |
Russia_Don State Technical University | 0.23 | 0.17 | 0.00 | 0.06 | 0.52 | 0.08 | 0.06 | 0.10 | 0.08 | 0.48 | 0.44 | 0.18 | 0.29 | 0.08 | 0.12 | 0.09 | 0.15 | 0.34 | 340 |
Spain_University of Rovira i Virgili | 0.58 | 0.65 | 0.24 | 0.65 | 0.41 | 0.59 | 0.60 | 0.25 | 0.40 | 0.51 | 0.56 | 0.35 | 0.46 | 0.18 | 0.25 | 0.36 | 0.64 | 0.80 | 68 |
Russia_Northern (Arctic) Federal University (NArFU) | 0.23 | 0.21 | 0.00 | 0.07 | 0.62 | 0.05 | 0.09 | 0.00 | 0.20 | 0.23 | 0.04 | 0.08 | 0.12 | 0.12 | 0.15 | 0.18 | 0.35 | 0.26 | 382 |
Azerbaijan_Baku State University | 0.15 | 0.17 | 0.13 | 0.10 | 0.22 | 0.09 | 0.10 | 0.31 | 0.23 | 0.13 | 0.71 | 0.43 | 0.37 | 0.02 | 0.03 | 0.07 | 0.62 | 0.42 | 295 |
Thailand_Thammasat University | 0.10 | 0.10 | 0.29 | 0.16 | 0.92 | 0.21 | 0.15 | 0.25 | 0.57 | 0.09 | 0.45 | 0.21 | 0.32 | 0.58 | 0.70 | 0.45 | 0.30 | 0.55 | 232 |
China_Renmin University of China | 0.79 | 0.88 | 0.36 | 0.26 | 0.58 | 0.43 | 0.25 | 0.40 | 0.48 | 0.32 | 0.45 | 0.32 | 0.39 | 0.67 | 0.77 | 0.38 | 0.18 | 0.71 | 135 |
Iraq_Al-Noor University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.06 | 0.08 | 0.12 | 0.30 | 0.09 | 416 |
Kazakhstan_EA Buketov Karaganda State University | 0.05 | 0.05 | 0.00 | 0.04 | 0.07 | 0.04 | 0.08 | 0.00 | 0.06 | 0.09 | 0.36 | 0.08 | 0.13 | 0.04 | 0.06 | 0.06 | 0.15 | 0.14 | 411 |
Hungary_University of Szeged | 0.32 | 0.52 | 0.29 | 0.38 | 0.38 | 0.49 | 0.34 | 0.20 | 0.39 | 0.67 | 0.64 | 0.24 | 0.49 | 0.41 | 0.57 | 0.31 | 0.24 | 0.73 | 121 |
Russia_Saint-Petersburg State Electotechnical University LETI |
0.20 | 0.34 | 0.49 | 0.14 | 0.46 | 0.07 | 0.17 | 0.40 | 0.05 | 0.73 | 0.23 | 0.53 | 0.38 | 0.17 | 0.23 | 0.42 | 0.80 | 0.64 | 179 |
Russia_Samara University | 0.09 | 0.12 | 0.19 | 0.16 | 0.09 | 0.07 | 0.16 | 0.25 | 0.05 | 0.14 | 0.21 | 0.35 | 0.18 | 0.10 | 0.13 | 0.21 | 0.53 | 0.29 | 367 |
Iraq_Al-Kitab University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.04 | 0.05 | 0.01 | 0.01 | 0.03 | 430 |
USA_Worcester Polytechnic Institute | 0.29 | 0.34 | 0.33 | 0.41 | 0.24 | 0.48 | 0.41 | 0.20 | 0.62 | 0.79 | 0.43 | 0.28 | 0.53 | 0.65 | 0.75 | 0.42 | 0.22 | 0.74 | 105 |
India_University of Hyderabad | 0.90 | 0.96 | 0.51 | 0.47 | 0.35 | 0.22 | 0.57 | 0.40 | 0.00 | 0.06 | 0.11 | 0.21 | 0.08 | 0.04 | 0.05 | 0.28 | 0.97 | 0.67 | 163 |
Poland_Warsaw University of Technology | 0.21 | 0.34 | 0.53 | 0.22 | 0.25 | 0.32 | 0.20 | 0.61 | 0.15 | 0.33 | 0.47 | 0.48 | 0.35 | 0.16 | 0.21 | 0.24 | 0.71 | 0.60 | 203 |
China_Hangzhou Dianzi University | 0.00 | 0.00 | 0.13 | 0.29 | 0.00 | 0.52 | 0.27 | 0.15 | 0.29 | 0.04 | 0.14 | 0.30 | 0.18 | 0.19 | 0.24 | 0.30 | 0.45 | 0.30 | 363 |
Spain_University of Alcala | 0.21 | 0.31 | 0.49 | 0.29 | 0.06 | 0.43 | 0.26 | 0.51 | 0.53 | 0.72 | 0.54 | 0.32 | 0.53 | 0.19 | 0.25 | 0.35 | 0.73 | 0.59 | 209 |
Ukraine_Ostrogradskiy National University of Kremenchuk | 0.04 | 0.04 | 0.49 | 0.02 | 0.03 | 0.02 | 0.03 | 0.54 | 0.21 | 0.03 | 0.44 | 0.48 | 0.29 | 0.03 | 0.04 | 0.03 | 0.06 | 0.27 | 374 |
Canada_University of Sherbrooke | 0.75 | 0.78 | 0.13 | 0.37 | 0.51 | 0.45 | 0.33 | 0.25 | 0.77 | 0.38 | 0.50 | 0.28 | 0.48 | 0.46 | 0.59 | 0.37 | 0.48 | 0.81 | 63 |
Norway_University of Tromso | 0.27 | 0.42 | 0.36 | 0.48 | 0.43 | 0.70 | 0.40 | 0.40 | 0.65 | 0.49 | 0.91 | 0.43 | 0.63 | 0.39 | 0.52 | 0.35 | 0.44 | 0.84 | 49 |
Tunisia_Universite de la Manouba | 0.24 | 0.35 | 0.00 | 0.17 | 0.04 | 0.16 | 0.17 | 0.00 | 0.14 | 0.07 | 0.83 | 0.08 | 0.27 | 0.05 | 0.07 | 0.03 | 0.03 | 0.32 | 352 |
Ukraine_South Ukrainian National Pedagogical University named after K.D. Ushynsky | 0.33 | 0.32 | 0.13 | 0.05 | 0.09 | 0.07 | 0.06 | 0.25 | 0.18 | 0.28 | 0.96 | 0.24 | 0.41 | 0.03 | 0.03 | 0.04 | 0.12 | 0.42 | 296 |
Russia_Tyumen State University | 0.13 | 0.16 | 0.09 | 0.13 | 0.12 | 0.23 | 0.14 | 0.10 | 0.26 | 0.33 | 0.62 | 0.08 | 0.32 | 0.18 | 0.22 | 0.32 | 0.52 | 0.42 | 298 |
Japan_Yokohama National University | 0.35 | 0.43 | 0.43 | 0.30 | 0.91 | 0.21 | 0.32 | 0.40 | 0.51 | 0.35 | 0.17 | 0.38 | 0.35 | 0.26 | 0.35 | 0.64 | 0.87 | 0.75 | 103 |
Japan_Tokyo Metropolitan University | 0.39 | 0.45 | 0.33 | 0.79 | 0.87 | 0.99 | 0.53 | 0.51 | 0.34 | 0.25 | 0.53 | 0.56 | 0.42 | 0.38 | 0.49 | 0.34 | 0.36 | 0.82 | 57 |
Russia_Belgorod National Research University | 0.30 | 0.25 | 0.19 | 0.15 | 0.15 | 0.32 | 0.14 | 0.15 | 0.21 | 0.72 | 0.52 | 0.08 | 0.38 | 0.14 | 0.16 | 0.35 | 0.73 | 0.61 | 189 |
India_Amity University | 0.07 | 0.08 | 0.55 | 0.15 | 0.04 | 0.21 | 0.14 | 0.60 | 0.11 | 0.26 | 0.21 | 0.66 | 0.31 | 0.22 | 0.28 | 0.06 | 0.05 | 0.46 | 276 |
Lebanon_Lebanese American University | 0.36 | 0.36 | 0.24 | 0.23 | 0.62 | 0.35 | 0.20 | 0.00 | 0.91 | 0.73 | 0.82 | 0.21 | 0.67 | 0.73 | 0.80 | 0.11 | 0.02 | 0.76 | 96 |
China_Beijing Jiaotong University | 0.37 | 0.52 | 0.40 | 0.39 | 0.24 | 0.41 | 0.43 | 0.40 | 0.28 | 0.37 | 0.28 | 0.53 | 0.36 | 0.41 | 0.53 | 0.69 | 0.77 | 0.77 | 83 |
Iraq_University of Kufa | 0.11 | 0.11 | 0.43 | 0.08 | 0.06 | 0.12 | 0.06 | 0.54 | 0.06 | 0.00 | 0.97 | 0.53 | 0.39 | 0.24 | 0.31 | 0.15 | 0.13 | 0.43 | 290 |
Mexico_National Autonomous University of Mexico | 0.22 | 0.29 | 0.87 | 0.26 | 0.40 | 0.24 | 0.24 | 0.85 | 0.49 | 0.34 | 0.51 | 0.86 | 0.56 | 0.38 | 0.50 | 0.61 | 0.73 | 0.90 | 21 |
Egypt_American University in Cairo | 0.08 | 0.08 | 0.51 | 0.23 | 0.98 | 0.23 | 0.26 | 0.31 | 0.95 | 0.29 | 0.73 | 0.48 | 0.62 | 0.97 | 0.96 | 0.38 | 0.04 | 0.93 | 11 |
China_Jinan University | 0.32 | 0.37 | 0.13 | 0.34 | 0.68 | 0.42 | 0.34 | 0.15 | 0.48 | 0.92 | 0.14 | 0.21 | 0.43 | 0.64 | 0.71 | 0.46 | 0.32 | 0.68 | 161 |
Iceland_University of Iceland | 0.30 | 0.28 | 0.29 | 0.79 | 0.40 | 0.90 | 0.63 | 0.44 | 0.50 | 0.57 | 0.97 | 0.43 | 0.63 | 0.28 | 0.36 | 0.71 | 0.95 | 0.91 | 16 |
United Arab Emirates_American University of Sharjah | 0.00 | 0.00 | 0.33 | 0.28 | 0.00 | 0.25 | 0.31 | 0.20 | 1.00 | 1.00 | 0.84 | 0.18 | 0.77 | 0.86 | 0.86 | 0.10 | 0.02 | 0.73 | 122 |
Taiwan_Tunghai University | 0.06 | 0.06 | 0.00 | 0.19 | 0.15 | 0.14 | 0.19 | 0.00 | 0.41 | 0.36 | 0.17 | 0.08 | 0.25 | 0.15 | 0.17 | 0.22 | 0.37 | 0.29 | 365 |
USA_Hofstra University | 0.90 | 0.89 | 0.29 | 0.50 | 0.68 | 0.83 | 0.34 | 0.54 | 0.21 | 0.47 | 0.22 | 0.48 | 0.34 | 0.70 | 0.76 | 0.05 | 0.01 | 0.82 | 56 |
Spain_Polytechnic University of Madrid | 0.35 | 0.40 | 0.70 | 0.30 | 0.22 | 0.35 | 0.31 | 0.64 | 0.17 | 0.61 | 0.54 | 0.53 | 0.46 | 0.18 | 0.21 | 0.29 | 0.56 | 0.74 | 108 |
China_Wuhan University of Technology | 0.17 | 0.18 | 0.33 | 0.29 | 0.21 | 0.86 | 0.23 | 0.57 | 0.21 | 0.18 | 0.30 | 0.48 | 0.29 | 0.45 | 0.54 | 0.41 | 0.46 | 0.59 | 214 |
Thailand_Chulalongkorn University | 0.41 | 0.50 | 0.78 | 0.34 | 0.56 | 0.35 | 0.32 | 0.68 | 0.45 | 0.20 | 0.62 | 0.32 | 0.39 | 0.76 | 0.80 | 0.54 | 0.26 | 0.79 | 74 |
Russia_Voronezh State Technical University | 0.06 | 0.07 | 0.13 | 0.05 | 0.09 | 0.04 | 0.06 | 0.15 | 0.04 | 0.18 | 0.17 | 1.00 | 0.34 | 0.00 | 0.00 | 0.01 | 0.30 | 0.25 | 385 |
Russia_Immanuel Kant Baltic Federal University | 0.22 | 0.27 | 0.19 | 0.14 | 0.09 | 0.11 | 0.15 | 0.20 | 0.17 | 0.27 | 0.61 | 0.08 | 0.27 | 0.15 | 0.17 | 0.15 | 0.26 | 0.35 | 334 |
Poland_University of Lodz | 0.18 | 0.26 | 0.09 | 0.22 | 0.34 | 0.20 | 0.23 | 0.15 | 0.19 | 0.26 | 0.30 | 0.21 | 0.23 | 0.08 | 0.10 | 0.14 | 0.32 | 0.37 | 325 |
Taiwan_National Sun Yat-Sen University | 0.47 | 0.63 | 0.36 | 0.56 | 0.44 | 0.24 | 0.79 | 0.44 | 0.35 | 0.32 | 0.30 | 0.53 | 0.37 | 0.42 | 0.52 | 0.87 | 0.97 | 0.84 | 47 |
China_Sichuan University | 0.56 | 0.67 | 0.40 | 0.54 | 0.31 | 0.37 | 0.63 | 0.35 | 0.45 | 0.21 | 0.08 | 0.53 | 0.31 | 0.39 | 0.48 | 0.70 | 0.82 | 0.81 | 64 |
Iraq_University of Ahl al-Bayt | 0.00 | 0.00 | 0.00 | 0.18 | 0.00 | 0.13 | 0.16 | 0.00 | 0.00 | 0.00 | 0.67 | 0.08 | 0.17 | 0.09 | 0.11 | 0.15 | 0.58 | 0.18 | 403 |
Russia_Samara State Technical University | 0.11 | 0.14 | 0.13 | 0.11 | 0.15 | 0.06 | 0.12 | 0.15 | 0.05 | 0.12 | 0.02 | 0.24 | 0.09 | 0.13 | 0.14 | 0.26 | 0.58 | 0.26 | 381 |
China_Wuhan University of Science & Technology | 0.09 | 0.09 | 0.09 | 0.20 | 0.27 | 0.34 | 0.20 | 0.10 | 0.25 | 0.07 | 0.09 | 0.21 | 0.14 | 0.14 | 0.15 | 0.28 | 0.55 | 0.32 | 349 |
Iraq_University of Babylon | 0.19 | 0.16 | 0.09 | 0.08 | 0.20 | 0.37 | 0.05 | 0.10 | 0.03 | 0.02 | 0.97 | 0.08 | 0.27 | 0.16 | 0.17 | 0.08 | 0.17 | 0.38 | 313 |
China_Northwest University, Xi’an | 0.30 | 0.37 | 0.53 | 0.38 | 0.33 | 0.47 | 0.34 | 0.35 | 0.12 | 0.19 | 0.10 | 0.67 | 0.26 | 0.27 | 0.33 | 0.36 | 0.57 | 0.62 | 187 |
Iraq_University of Tikrit | 0.27 | 0.31 | 0.00 | 0.11 | 0.22 | 0.27 | 0.05 | 0.00 | 0.00 | 0.02 | 0.99 | 0.08 | 0.26 | 0.01 | 0.01 | 0.00 | 0.00 | 0.33 | 344 |
Puerto Rico_University of Puerto Rico | 0.15 | 0.22 | 0.49 | 0.29 | 0.78 | 0.73 | 0.21 | 0.44 | 0.16 | 0.05 | 0.56 | 0.30 | 0.26 | 0.13 | 0.13 | 0.17 | 0.32 | 0.57 | 218 |
Iraq_University of Anbar | 0.18 | 0.22 | 0.00 | 0.09 | 0.80 | 0.29 | 0.07 | 0.00 | 0.05 | 0.00 | 0.98 | 0.08 | 0.27 | 0.15 | 0.16 | 0.12 | 0.14 | 0.38 | 312 |
USA_East Carolina University | 0.39 | 0.39 | 0.13 | 0.28 | 0.51 | 0.38 | 0.27 | 0.15 | 0.59 | 0.12 | 0.21 | 0.24 | 0.28 | 0.59 | 0.65 | 0.27 | 0.11 | 0.51 | 256 |
China_Northeastern University (China) | 0.45 | 0.55 | 0.13 | 0.34 | 0.34 | 0.39 | 0.44 | 0.40 | 0.79 | 0.24 | 0.12 | 0.53 | 0.42 | 0.58 | 0.65 | 0.86 | 0.87 | 0.75 | 98 |
USA_Texas Christian University | 0.44 | 0.40 | 0.24 | 0.29 | 0.96 | 0.40 | 0.25 | 0.10 | 0.30 | 0.27 | 0.18 | 0.35 | 0.27 | 0.81 | 0.82 | 0.18 | 0.04 | 0.57 | 220 |
Iraq_Al-Maarif University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.07 | 0.08 | 0.10 | 0.22 | 0.06 | 424 |
Russia_Ufa State Petroleum Technological University (USPTU) | 0.04 | 0.04 | 0.13 | 0.05 | 0.05 | 0.02 | 0.09 | 0.10 | 0.12 | 0.33 | 0.02 | 0.08 | 0.13 | 0.09 | 0.10 | 0.19 | 0.44 | 0.27 | 377 |
China_Xiamen University | 0.40 | 0.56 | 0.40 | 0.49 | 0.19 | 0.58 | 0.43 | 0.35 | 0.36 | 0.25 | 0.32 | 0.26 | 0.29 | 0.62 | 0.67 | 0.67 | 0.69 | 0.79 | 73 |
Brazil_Federal University of Vicosa | 0.69 | 0.82 | 0.40 | 0.38 | 0.81 | 0.12 | 0.54 | 0.31 | 0.19 | 0.13 | 0.13 | 0.48 | 0.23 | 0.40 | 0.47 | 0.24 | 0.14 | 0.57 | 221 |
Russia_Southwest State University | 0.29 | 0.29 | 0.00 | 0.08 | 0.39 | 0.09 | 0.08 | 0.10 | 0.10 | 0.28 | 0.23 | 0.08 | 0.16 | 0.06 | 0.07 | 0.25 | 0.74 | 0.30 | 359 |
Slovenia_University of Ljubljana | 0.34 | 0.47 | 0.60 | 0.40 | 0.30 | 0.43 | 0.40 | 0.63 | 0.29 | 0.33 | 0.64 | 0.56 | 0.46 | 0.22 | 0.25 | 0.31 | 0.54 | 0.75 | 104 |
China_Northeast Normal University (China) | 0.56 | 0.63 | 0.00 | 0.35 | 0.65 | 0.48 | 0.30 | 0.10 | 0.22 | 0.11 | 0.07 | 0.08 | 0.10 | 0.42 | 0.50 | 0.18 | 0.09 | 0.57 | 219 |
Spain_University of the Basque Country | 0.54 | 0.62 | 0.29 | 0.49 | 0.86 | 0.49 | 0.45 | 0.25 | 0.09 | 0.25 | 0.68 | 0.35 | 0.34 | 0.24 | 0.28 | 0.27 | 0.34 | 0.70 | 136 |
Poland_Gdansk University of Technology | 0.25 | 0.22 | 0.19 | 0.29 | 0.64 | 0.26 | 0.32 | 0.15 | 0.15 | 0.21 | 0.26 | 0.08 | 0.16 | 0.24 | 0.28 | 0.33 | 0.41 | 0.46 | 273 |
Russia_Tver State University | 0.03 | 0.27 | 0.09 | 0.11 | 0.73 | 0.05 | 0.13 | 0.10 | 0.06 | 0.16 | 0.20 | 0.08 | 0.11 | 0.06 | 0.07 | 0.67 | 1.00 | 0.37 | 326 |
Republic of Korea_Yeungnam University | 0.30 | 0.23 | 0.19 | 0.44 | 0.28 | 0.38 | 0.50 | 0.20 | 0.56 | 0.29 | 0.27 | 0.30 | 0.35 | 0.36 | 0.43 | 0.41 | 0.46 | 0.57 | 222 |
Russia_Tomsk State University of Control Systems and Radioelectronics (TUSUR University) | 0.21 | 0.26 | 0.19 | 0.15 | 0.17 | 0.27 | 0.15 | 0.31 | 0.23 | 0.77 | 0.32 | 0.28 | 0.40 | 0.22 | 0.24 | 0.58 | 0.89 | 0.48 | 266 |
Taiwan_National Chung Cheng University | 0.26 | 0.32 | 0.19 | 0.29 | 0.25 | 0.15 | 0.38 | 0.31 | 0.15 | 0.26 | 0.13 | 0.32 | 0.20 | 0.18 | 0.19 | 0.57 | 0.88 | 0.47 | 271 |
Spain_University of Santiago de Compostela | 0.36 | 0.46 | 0.49 | 0.41 | 0.18 | 0.49 | 0.37 | 0.54 | 0.14 | 0.44 | 0.72 | 0.53 | 0.46 | 0.24 | 0.26 | 0.32 | 0.62 | 0.75 | 102 |
Russia_Volgograd State Technical University | 0.09 | 0.10 | 0.00 | 0.09 | 0.16 | 0.02 | 0.11 | 0.00 | 0.03 | 0.36 | 0.03 | 0.08 | 0.11 | 0.10 | 0.11 | 0.25 | 0.58 | 0.27 | 376 |
Finland_University of Jyvaskyla | 0.57 | 0.66 | 0.36 | 0.47 | 0.79 | 0.58 | 0.45 | 0.40 | 0.43 | 0.28 | 0.86 | 0.38 | 0.49 | 0.37 | 0.44 | 0.63 | 0.94 | 0.94 | 9 |
Slovenia_University of Maribor | 0.19 | 0.25 | 0.19 | 0.35 | 0.15 | 0.38 | 0.39 | 0.15 | 0.17 | 0.28 | 0.54 | 0.08 | 0.26 | 0.18 | 0.18 | 0.29 | 0.50 | 0.54 | 237 |
Iraq_University of Misan | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.09 | 0.05 | 0.00 | 0.00 | 0.00 | 1.00 | 0.08 | 0.26 | 0.17 | 0.18 | 0.05 | 0.03 | 0.17 | 405 |
China_Yangzhou University | 0.11 | 0.12 | 0.00 | 0.28 | 0.22 | 0.45 | 0.28 | 0.00 | 0.27 | 0.17 | 0.10 | 0.08 | 0.14 | 0.28 | 0.32 | 0.39 | 0.52 | 0.45 | 281 |
Japan_University of Electro-Communications | 0.39 | 0.46 | 0.24 | 0.42 | 0.56 | 0.19 | 0.55 | 0.31 | 0.49 | 0.30 | 0.41 | 0.32 | 0.38 | 0.36 | 0.43 | 0.48 | 0.56 | 0.70 | 141 |
Spain_ESIC Business and Marketing School | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.10 | 0.04 | 0.00 | 0.73 | 0.58 | 0.29 | 0.08 | 0.42 | 0.28 | 0.33 | 0.06 | 0.04 | 0.38 | 316 |
Taiwan_National Chung Hsing University | 0.38 | 0.48 | 0.40 | 0.36 | 0.62 | 0.20 | 0.41 | 0.57 | 0.33 | 0.27 | 0.12 | 0.48 | 0.29 | 0.36 | 0.42 | 0.60 | 0.87 | 0.70 | 143 |
UK_Swansea University | 0.37 | 0.31 | 0.40 | 0.53 | 0.36 | 0.86 | 0.45 | 0.40 | 0.81 | 0.79 | 0.77 | 0.53 | 0.74 | 0.42 | 0.48 | 0.41 | 0.45 | 0.95 | 6 |
China_Yanshan University | 0.20 | 0.23 | 0.00 | 0.24 | 0.58 | 0.33 | 0.24 | 0.00 | 0.24 | 0.06 | 0.06 | 0.08 | 0.09 | 0.23 | 0.24 | 0.45 | 0.76 | 0.46 | 275 |
Iraq_Iraq University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.57 | 0.00 | 0.00 | 0.08 | 0.15 | 0.08 | 0.09 | 0.04 | 0.05 | 0.15 | 409 |
Azerbaijan_Azerbaijan University of Architecture and Construction | 0.17 | 0.15 | 0.00 | 0.02 | 0.73 | 0.03 | 0.03 | 0.10 | 0.24 | 0.43 | 0.44 | 0.08 | 0.29 | 0.05 | 0.06 | 0.03 | 0.03 | 0.32 | 350 |
Thailand_Chiang Mai University | 0.22 | 0.23 | 0.55 | 0.24 | 0.26 | 0.18 | 0.26 | 0.35 | 0.19 | 0.12 | 0.55 | 0.30 | 0.28 | 0.74 | 0.76 | 0.63 | 0.35 | 0.63 | 180 |
China_Shenzhen University | 0.05 | 0.06 | 0.09 | 0.31 | 0.11 | 0.66 | 0.29 | 0.00 | 0.37 | 0.06 | 0.25 | 0.08 | 0.18 | 0.72 | 0.73 | 0.61 | 0.48 | 0.42 | 293 |
Iraq_Uruk University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.00 | 0.08 | 0.04 | 0.01 | 0.01 | 0.02 | 0.30 | 0.04 | 429 |
China_East China University of Science and Technology | 0.49 | 0.55 | 0.53 | 0.68 | 0.44 | 0.51 | 0.69 | 0.40 | 0.07 | 0.11 | 0.11 | 0.48 | 0.18 | 0.45 | 0.50 | 0.62 | 0.61 | 0.80 | 69 |
China_Nanjing University of Aeronautics & Astronautics | 0.39 | 0.46 | 0.19 | 0.42 | 0.25 | 0.47 | 0.49 | 0.25 | 0.28 | 0.18 | 0.09 | 0.21 | 0.17 | 0.49 | 0.54 | 0.85 | 0.92 | 0.74 | 107 |
Nigeria_University of Ibadan | 0.60 | 0.74 | 0.61 | 0.25 | 0.56 | 0.61 | 0.21 | 0.51 | 0.51 | 0.09 | 0.60 | 0.32 | 0.38 | 0.11 | 0.11 | 0.15 | 0.31 | 0.63 | 181 |
China_Dalian University of Technology | 0.51 | 0.57 | 0.36 | 0.55 | 0.36 | 0.49 | 0.60 | 0.44 | 0.60 | 0.14 | 0.16 | 0.48 | 0.34 | 0.44 | 0.49 | 0.76 | 0.89 | 0.82 | 58 |
China_China Pharmaceutical University | 0.42 | 0.45 | 0.36 | 0.34 | 0.50 | 0.39 | 0.32 | 0.25 | 0.10 | 0.13 | 0.04 | 0.26 | 0.12 | 0.40 | 0.44 | 0.34 | 0.53 | 0.52 | 251 |
Croatia_University of Rijeka | 0.15 | 0.25 | 0.00 | 0.20 | 0.12 | 0.26 | 0.19 | 0.15 | 0.07 | 0.04 | 0.58 | 0.08 | 0.18 | 0.12 | 0.12 | 0.08 | 0.18 | 0.27 | 380 |
Japan_Waseda University | 0.28 | 0.24 | 0.82 | 0.32 | 0.47 | 0.42 | 0.27 | 0.78 | 0.58 | 0.51 | 0.41 | 0.62 | 0.53 | 0.37 | 0.42 | 0.33 | 0.30 | 0.78 | 78 |
USA_Oklahoma State University | 0.55 | 0.46 | 0.36 | 0.56 | 0.88 | 0.67 | 0.53 | 0.25 | 0.70 | 0.39 | 0.42 | 0.26 | 0.44 | 0.70 | 0.71 | 0.48 | 0.21 | 0.85 | 37 |
Thailand_Prince of Songkla University | 0.16 | 0.13 | 0.40 | 0.21 | 0.81 | 0.20 | 0.20 | 0.47 | 0.33 | 0.12 | 0.49 | 0.43 | 0.34 | 0.42 | 0.45 | 0.18 | 0.08 | 0.46 | 277 |
Taiwan_National Taipei University of Technology | 0.35 | 0.35 | 0.36 | 0.33 | 0.26 | 0.25 | 0.37 | 0.54 | 0.46 | 0.42 | 0.09 | 0.48 | 0.36 | 0.57 | 0.59 | 0.73 | 0.89 | 0.75 | 100 |
China_Nanjing Agricultural University | 0.55 | 0.53 | 0.00 | 0.55 | 0.50 | 0.45 | 0.58 | 0.00 | 0.27 | 0.13 | 0.14 | 0.08 | 0.14 | 0.41 | 0.44 | 0.71 | 0.82 | 0.62 | 188 |
Russia_Omsk State Technical University | 0.17 | 0.19 | 0.09 | 0.07 | 0.75 | 0.06 | 0.09 | 0.00 | 0.04 | 0.74 | 0.10 | 0.18 | 0.26 | 0.07 | 0.07 | 0.16 | 0.41 | 0.37 | 324 |
UK_University of Portsmouth | 0.21 | 0.15 | 0.13 | 0.45 | 0.49 | 0.88 | 0.31 | 0.20 | 0.84 | 0.83 | 0.91 | 0.24 | 0.71 | 0.28 | 0.30 | 0.12 | 0.07 | 0.72 | 129 |
China_Chongqing University | 0.47 | 0.51 | 0.13 | 0.44 | 0.44 | 0.46 | 0.49 | 0.10 | 0.35 | 0.22 | 0.17 | 0.21 | 0.23 | 0.45 | 0.48 | 0.61 | 0.62 | 0.68 | 158 |
Turkey_Ege University | 0.19 | 0.30 | 0.00 | 0.26 | 0.30 | 0.16 | 0.23 | 0.00 | 0.22 | 0.18 | 0.14 | 0.08 | 0.14 | 0.40 | 0.43 | 0.28 | 0.33 | 0.37 | 322 |
UK_University of Central Lancashire | 0.14 | 0.11 | 0.19 | 0.28 | 0.27 | 0.43 | 0.25 | 0.31 | 0.65 | 0.70 | 0.65 | 0.56 | 0.65 | 0.29 | 0.32 | 0.11 | 0.07 | 0.59 | 210 |
Spain_University of Vigo | 0.30 | 0.35 | 0.36 | 0.34 | 0.11 | 0.39 | 0.35 | 0.20 | 0.14 | 0.27 | 0.62 | 0.56 | 0.40 | 0.25 | 0.26 | 0.24 | 0.38 | 0.58 | 217 |
China_Nanjing University of Science & Technology | 0.42 | 0.51 | 0.09 | 0.33 | 0.45 | 0.60 | 0.31 | 0.20 | 0.89 | 0.19 | 0.10 | 0.28 | 0.36 | 1.00 | 1.00 | 1.00 | 0.48 | 0.84 | 48 |
Mexico_Monterrey Institute of Technology and Higher Education | 0.28 | 0.30 | 0.53 | 0.26 | 0.47 | 0.32 | 0.27 | 0.35 | 0.59 | 0.52 | 0.69 | 0.56 | 0.60 | 0.43 | 0.46 | 0.57 | 0.62 | 0.77 | 89 |
Japan_Kyushu Institute of Technology | 0.41 | 0.40 | 0.46 | 0.46 | 0.81 | 0.28 | 0.54 | 0.31 | 0.46 | 0.22 | 0.32 | 0.60 | 0.40 | 0.33 | 0.38 | 0.39 | 0.40 | 0.69 | 152 |
USA_University of Memphis | 0.62 | 0.54 | 0.13 | 0.31 | 0.77 | 0.38 | 0.35 | 0.15 | 0.32 | 0.16 | 0.29 | 0.26 | 0.25 | 0.55 | 0.56 | 0.63 | 0.54 | 0.67 | 164 |
Iraq_Islamic University in Najaf | 0.03 | 0.03 | 0.00 | 0.02 | 0.04 | 0.00 | 0.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.21 | 0.20 | 0.04 | 0.02 | 0.06 | 422 |
Russia_Siberian Federal University | 0.56 | 0.63 | 0.19 | 0.16 | 0.50 | 0.10 | 0.18 | 0.25 | 0.63 | 0.22 | 0.20 | 0.24 | 0.31 | 0.37 | 0.41 | 0.57 | 0.62 | 0.54 | 236 |
Iraq_University of Diyala | 0.14 | 0.14 | 0.00 | 0.06 | 0.42 | 0.30 | 0.04 | 0.00 | 0.00 | 0.00 | 0.98 | 0.08 | 0.26 | 0.02 | 0.02 | 0.03 | 0.17 | 0.22 | 393 |
China_University of Electronic Science and Technology of China | 0.40 | 0.44 | 0.00 | 0.48 | 0.24 | 0.54 | 0.59 | 0.15 | 0.26 | 0.16 | 0.31 | 0.18 | 0.22 | 0.45 | 0.47 | 0.77 | 0.89 | 0.72 | 127 |
USA_New Mexico State University | 0.38 | 0.33 | 0.19 | 0.49 | 0.88 | 0.54 | 0.43 | 0.20 | 0.39 | 0.43 | 0.49 | 0.28 | 0.39 | 0.66 | 0.66 | 0.69 | 0.54 | 0.79 | 75 |
Czech Republic_University of West Bohemia | 0.25 | 0.34 | 0.24 | 0.19 | 0.16 | 0.12 | 0.23 | 0.15 | 0.36 | 0.23 | 0.69 | 0.43 | 0.43 | 0.26 | 0.26 | 0.62 | 0.91 | 0.61 | 195 |
China_China Medical University (Taiwan) | 0.22 | 0.21 | 0.19 | 0.86 | 0.14 | 0.30 | 0.97 | 0.20 | 0.23 | 0.41 | 0.21 | 0.21 | 0.25 | 0.99 | 0.97 | 0.79 | 0.14 | 0.61 | 191 |
UK_University of Plymouth | 0.36 | 0.23 | 0.40 | 0.51 | 1.00 | 0.80 | 0.42 | 0.31 | 0.69 | 0.62 | 0.75 | 0.48 | 0.64 | 0.36 | 0.40 | 0.21 | 0.14 | 0.93 | 12 |
Portugal_Aveiro University | 0.66 | 0.68 | 0.49 | 0.79 | 0.15 | 0.42 | 0.89 | 0.47 | 0.36 | 0.55 | 0.77 | 0.32 | 0.50 | 0.26 | 0.25 | 0.44 | 0.77 | 0.77 | 87 |
USA_Stevens Institute of Technology | 0.42 | 0.55 | 0.29 | 0.34 | 0.45 | 0.38 | 0.36 | 0.20 | 0.66 | 0.95 | 0.54 | 0.28 | 0.61 | 0.76 | 0.75 | 0.52 | 0.26 | 0.85 | 40 |
Turkey_Atilim University | 0.08 | 0.09 | 0.13 | 0.19 | 0.38 | 0.32 | 0.21 | 0.10 | 0.29 | 0.25 | 0.51 | 0.28 | 0.33 | 0.21 | 0.19 | 0.16 | 0.18 | 0.41 | 301 |
Iraq_Al-Mustaqbal University College | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.23 | 0.05 | 0.00 | 0.22 | 0.00 | 0.98 | 0.08 | 0.32 | 0.16 | 0.15 | 0.20 | 0.30 | 0.29 | 369 |
Romania_George Emil Palade University of Medicine, Pharmacy, Science, and Technology of Targu Mures |
0.17 | 0.21 | 0.00 | 0.17 | 0.27 | 0.12 | 0.16 | 0.00 | 0.11 | 0.35 | 0.25 | 0.08 | 0.18 | 0.14 | 0.13 | 0.04 | 0.06 | 0.26 | 383 |
Turkey_TOBB University of Economics and Technology | 0.07 | 0.10 | 0.09 | 0.59 | 0.05 | 0.92 | 0.40 | 0.10 | 0.18 | 0.05 | 0.88 | 0.21 | 0.33 | 0.24 | 0.22 | 0.17 | 0.15 | 0.53 | 246 |
China_Ningbo University | 0.05 | 0.06 | 0.00 | 0.39 | 0.17 | 0.40 | 0.39 | 0.00 | 0.25 | 0.30 | 0.07 | 0.08 | 0.16 | 0.34 | 0.37 | 0.42 | 0.45 | 0.43 | 288 |
UK_Coventry University | 0.14 | 0.11 | 0.36 | 0.20 | 0.41 | 0.43 | 0.19 | 0.44 | 0.85 | 0.98 | 0.64 | 0.68 | 0.80 | 0.31 | 0.33 | 0.17 | 0.12 | 0.69 | 149 |
Republic of Korea_Chonnam National University | 0.52 | 0.44 | 0.40 | 0.61 | 0.19 | 0.35 | 0.70 | 0.31 | 0.30 | 0.33 | 0.27 | 0.56 | 0.36 | 0.49 | 0.51 | 0.72 | 0.79 | 0.86 | 32 |
Taiwan_National Taipei University | 0.15 | 0.12 | 0.29 | 0.19 | 0.28 | 0.22 | 0.23 | 0.31 | 0.17 | 0.22 | 0.18 | 0.48 | 0.26 | 0.23 | 0.21 | 0.25 | 0.29 | 0.42 | 297 |
Russia_Moscow State Institute of Radio Engineering, Electrical & Automation | 0.07 | 0.07 | 0.74 | 0.14 | 0.05 | 0.06 | 0.17 | 0.73 | 0.07 | 0.16 | 0.09 | 0.70 | 0.25 | 0.21 | 0.18 | 0.44 | 0.73 | 0.52 | 248 |
Republic of Korea_Sejong University | 0.45 | 0.36 | 0.33 | 0.52 | 0.89 | 0.54 | 0.56 | 0.20 | 0.54 | 0.50 | 0.36 | 0.43 | 0.46 | 0.34 | 0.37 | 0.70 | 0.84 | 0.91 | 18 |
UK_Middlesex University | 0.34 | 0.23 | 0.24 | 0.24 | 0.65 | 0.67 | 0.24 | 0.25 | 0.87 | 0.98 | 0.61 | 0.60 | 0.78 | 0.33 | 0.36 | 0.12 | 0.07 | 0.83 | 51 |
China_Nanjing Normal University | 0.29 | 0.33 | 0.09 | 0.40 | 0.33 | 0.54 | 0.34 | 0.00 | 0.22 | 0.30 | 0.15 | 0.08 | 0.17 | 0.29 | 0.29 | 0.49 | 0.60 | 0.56 | 225 |
Russia_South Ural State University | 0.09 | 0.09 | 0.19 | 0.11 | 0.08 | 0.11 | 0.11 | 0.15 | 0.11 | 0.30 | 0.22 | 0.18 | 0.19 | 0.11 | 0.09 | 0.23 | 0.54 | 0.30 | 358 |
China_Xidian University | 0.38 | 0.41 | 0.51 | 0.27 | 0.50 | 0.39 | 0.33 | 0.57 | 0.13 | 0.15 | 0.08 | 0.56 | 0.22 | 0.45 | 0.45 | 0.71 | 0.90 | 0.74 | 111 |
New Zealand_Auckland University of Technology | 0.30 | 0.21 | 0.40 | 0.39 | 0.61 | 0.94 | 0.28 | 0.20 | 0.96 | 0.99 | 0.88 | 0.38 | 0.82 | 0.27 | 0.25 | 0.12 | 0.08 | 0.90 | 22 |
Japan_Hitotsubashi University | 0.45 | 0.46 | 0.51 | 0.16 | 0.21 | 0.20 | 0.20 | 0.57 | 0.53 | 0.57 | 0.44 | 0.43 | 0.49 | 0.33 | 0.36 | 0.40 | 0.41 | 0.69 | 148 |
Brazil_Universidade Federal do Ceara | 0.54 | 0.73 | 0.24 | 0.27 | 0.36 | 0.26 | 0.30 | 0.15 | 0.25 | 0.07 | 0.30 | 0.21 | 0.19 | 0.40 | 0.41 | 0.27 | 0.19 | 0.60 | 204 |
Iraq_University of Thi-Qar | 0.09 | 0.10 | 0.00 | 0.10 | 0.12 | 0.24 | 0.06 | 0.00 | 0.00 | 0.00 | 0.96 | 0.08 | 0.25 | 0.12 | 0.10 | 0.12 | 0.33 | 0.30 | 361 |
Iraq_University College in Baghdad Iraq | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.10 | 0.09 | 0.07 | 0.12 | 0.04 | 428 |
Russia_Tomsk State University of Architecture and Building | 0.07 | 0.08 | 0.00 | 0.08 | 0.89 | 0.04 | 0.11 | 0.15 | 0.10 | 0.65 | 0.07 | 0.08 | 0.21 | 0.00 | 0.00 | 0.00 | 0.38 | 0.30 | 360 |
Iraq_Al-Nisour University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 | 0.08 | 0.06 | 0.03 | 0.03 | 0.07 | 0.43 | 0.05 | 426 |
UK_Northumbria University | 0.29 | 0.17 | 0.36 | 0.34 | 0.79 | 0.86 | 0.29 | 0.35 | 0.69 | 0.68 | 0.74 | 0.35 | 0.62 | 0.30 | 0.30 | 0.09 | 0.06 | 0.66 | 167 |
Romania_University of Bucharest | 0.43 | 0.41 | 0.61 | 0.25 | 0.39 | 0.18 | 0.28 | 0.44 | 0.14 | 0.13 | 0.49 | 0.48 | 0.30 | 0.11 | 0.09 | 0.19 | 0.43 | 0.56 | 227 |
Egypt_Ain Shams University | 0.30 | 0.30 | 0.43 | 0.15 | 0.06 | 0.37 | 0.11 | 0.10 | 0.43 | 0.16 | 0.57 | 0.60 | 0.44 | 0.10 | 0.08 | 0.05 | 0.10 | 0.43 | 285 |
Spain_University of Salamanca | 0.58 | 0.56 | 0.53 | 0.41 | 0.24 | 0.47 | 0.34 | 0.44 | 0.18 | 0.67 | 0.55 | 0.35 | 0.44 | 0.20 | 0.17 | 0.23 | 0.34 | 0.73 | 118 |
Russia_Voronezh Institute of High Technologies | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 | 0.08 | 0.05 | 0.05 | 0.04 | 0.17 | 0.54 | 0.16 | 408 |
UK_Oxford Brookes University | 0.24 | 0.18 | 0.79 | 0.25 | 1.00 | 0.48 | 0.25 | 0.79 | 0.76 | 0.84 | 0.62 | 0.85 | 0.78 | 0.37 | 0.37 | 0.10 | 0.05 | 0.84 | 46 |
India_Vellore Institute of Technology | 0.39 | 0.44 | 0.19 | 0.25 | 0.10 | 0.25 | 0.00 | 0.15 | 0.56 | 0.15 | 0.00 | 0.08 | 0.19 | 0.35 | 0.34 | 0.14 | 0.11 | 0.36 | 329 |
Romania_West University of Timisoara | 0.29 | 0.17 | 0.19 | 0.40 | 0.17 | 0.87 | 0.26 | 0.15 | 0.09 | 0.24 | 0.74 | 0.08 | 0.28 | 0.11 | 0.08 | 0.10 | 0.14 | 0.45 | 278 |
Taiwan_National Dong Hwa University | 0.19 | 0.18 | 0.00 | 0.33 | 0.49 | 0.23 | 0.39 | 0.00 | 0.30 | 0.44 | 0.39 | 0.08 | 0.30 | 0.30 | 0.27 | 0.75 | 0.93 | 0.53 | 245 |
New Zealand_University of Waikato | 0.38 | 0.26 | 0.33 | 0.48 | 0.64 | 0.58 | 0.46 | 0.25 | 0.89 | 0.87 | 0.83 | 0.28 | 0.73 | 0.38 | 0.37 | 0.37 | 0.36 | 0.88 | 27 |
Taiwan_Chung Shan Medical University | 0.25 | 0.18 | 0.09 | 0.57 | 0.56 | 0.27 | 0.71 | 0.15 | 0.13 | 0.29 | 0.03 | 0.21 | 0.15 | 0.30 | 0.29 | 0.39 | 0.55 | 0.50 | 260 |
USA_Old Dominion University | 0.54 | 0.41 | 0.43 | 0.42 | 0.97 | 0.65 | 0.39 | 0.35 | 0.41 | 0.17 | 0.45 | 0.53 | 0.39 | 0.69 | 0.64 | 0.43 | 0.20 | 0.91 | 17 |
Russia_Pacific National University | 0.09 | 0.07 | 0.00 | 0.04 | 0.18 | 0.03 | 0.07 | 0.00 | 0.09 | 0.30 | 0.15 | 0.08 | 0.14 | 0.09 | 0.07 | 0.14 | 0.25 | 0.17 | 406 |
UK_University of Westminster | 0.16 | 0.12 | 0.49 | 0.23 | 0.96 | 0.33 | 0.25 | 0.51 | 0.86 | 0.99 | 0.34 | 0.69 | 0.73 | 0.34 | 0.34 | 0.09 | 0.04 | 0.83 | 53 |
Pakistan_NED University of Engineering and Technology | 0.04 | 0.03 | 0.00 | 0.15 | 0.08 | 0.23 | 0.12 | 0.00 | 0.04 | 0.03 | 0.97 | 0.08 | 0.27 | 0.09 | 0.07 | 0.10 | 0.17 | 0.29 | 368 |
USA_Portland State University | 0.26 | 0.15 | 0.36 | 0.30 | 0.00 | 0.41 | 0.32 | 0.35 | 0.68 | 0.44 | 0.24 | 0.38 | 0.43 | 0.60 | 0.55 | 0.45 | 0.31 | 0.61 | 190 |
Russia_North Caucasus Federal University | 0.19 | 0.18 | 0.00 | 0.06 | 0.25 | 0.05 | 0.07 | 0.00 | 0.55 | 0.34 | 0.17 | 0.08 | 0.27 | 0.13 | 0.09 | 0.13 | 0.21 | 0.24 | 388 |
UK_University of Ulster | 0.33 | 0.20 | 0.29 | 0.35 | 0.72 | 0.48 | 0.34 | 0.31 | 0.93 | 0.45 | 0.81 | 0.48 | 0.68 | 0.31 | 0.28 | 0.33 | 0.36 | 0.72 | 128 |
USA_Florida Atlantic University | 0.43 | 0.28 | 0.24 | 0.27 | 0.82 | 0.38 | 0.27 | 0.15 | 0.66 | 0.52 | 0.34 | 0.30 | 0.46 | 0.52 | 0.46 | 0.38 | 0.25 | 0.64 | 175 |
USA_Savannah College of Art and Design | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.01 | 0.08 | 0.00 | 0.52 | 0.85 | 0.02 | 0.08 | 0.36 | 0.68 | 0.61 | 0.82 | 0.70 | 0.50 | 259 |
USA_Oakland University | 0.53 | 0.37 | 0.33 | 0.33 | 0.46 | 0.40 | 0.35 | 0.25 | 0.39 | 0.20 | 0.34 | 0.35 | 0.31 | 0.55 | 0.49 | 0.13 | 0.04 | 0.56 | 223 |
Croatia_University of Zagreb | 0.34 | 0.51 | 0.46 | 0.26 | 0.32 | 0.27 | 0.28 | 0.40 | 0.12 | 0.15 | 0.54 | 0.24 | 0.25 | 0.17 | 0.14 | 0.15 | 0.25 | 0.48 | 270 |
UK_University of the West of England | 0.21 | 0.12 | 0.43 | 0.25 | 0.89 | 0.51 | 0.25 | 0.40 | 0.67 | 0.76 | 0.46 | 0.38 | 0.57 | 0.33 | 0.31 | 0.18 | 0.10 | 0.70 | 145 |
Switzerland_University of Lucerne | 0.53 | 0.67 | 0.29 | 0.21 | 0.78 | 0.66 | 0.22 | 0.35 | 0.87 | 0.62 | 0.76 | 0.43 | 0.68 | 0.39 | 0.36 | 0.23 | 0.25 | 0.84 | 41 |
Turkey_Ankara University | 0.32 | 0.45 | 0.79 | 0.21 | 0.25 | 0.27 | 0.20 | 0.77 | 0.20 | 0.24 | 0.26 | 0.79 | 0.37 | 0.77 | 0.69 | 0.58 | 0.44 | 0.75 | 99 |
Hungary_Eotvos Lorand University | 0.40 | 0.41 | 0.36 | 0.44 | 0.18 | 0.73 | 0.37 | 0.35 | 0.53 | 0.49 | 0.87 | 0.28 | 0.54 | 0.34 | 0.32 | 0.58 | 0.71 | 0.84 | 43 |
USA_Mississippi State University | 0.39 | 0.35 | 0.29 | 0.52 | 0.94 | 0.40 | 0.55 | 0.20 | 0.35 | 0.19 | 0.20 | 0.32 | 0.26 | 0.39 | 0.35 | 0.57 | 0.60 | 0.74 | 112 |
Russia_Ulyanovsk State University | 0.10 | 0.11 | 0.00 | 0.13 | 0.04 | 0.08 | 0.15 | 0.00 | 0.06 | 0.44 | 0.22 | 0.08 | 0.19 | 0.11 | 0.08 | 0.20 | 0.47 | 0.21 | 394 |
Russia_Novosibirsk State University of Economics and Management | 0.06 | 0.05 | 0.00 | 0.02 | 0.08 | 0.06 | 0.04 | 0.00 | 0.05 | 0.17 | 0.02 | 0.08 | 0.06 | 0.00 | 0.00 | 0.00 | 0.08 | 0.07 | 419 |
Taiwan_Yuan Ze University | 0.22 | 0.16 | 0.29 | 0.38 | 0.28 | 0.17 | 0.52 | 0.31 | 0.34 | 0.42 | 0.10 | 0.30 | 0.28 | 0.38 | 0.34 | 0.51 | 0.50 | 0.55 | 230 |
Italy_University of Genoa | 0.91 | 0.82 | 0.13 | 0.87 | 0.64 | 0.83 | 0.83 | 0.15 | 0.24 | 0.46 | 0.66 | 0.26 | 0.40 | 0.41 | 0.37 | 0.29 | 0.22 | 0.88 | 28 |
Czech Republic_Brno University of Technology | 0.41 | 0.44 | 0.40 | 0.30 | 0.29 | 0.25 | 0.33 | 0.40 | 0.48 | 0.80 | 0.50 | 0.21 | 0.50 | 0.27 | 0.22 | 0.64 | 0.89 | 0.67 | 165 |
UK_University of Hertfordshire | 0.23 | 0.13 | 0.43 | 0.38 | 0.59 | 0.64 | 0.29 | 0.47 | 0.74 | 0.84 | 0.91 | 0.30 | 0.71 | 0.43 | 0.39 | 0.19 | 0.09 | 0.81 | 66 |
North Macedonia_University of Sarajevo | 0.24 | 0.27 | 0.00 | 0.17 | 0.27 | 0.42 | 0.14 | 0.00 | 0.13 | 0.16 | 0.96 | 0.08 | 0.33 | 0.12 | 0.08 | 0.06 | 0.06 | 0.40 | 306 |
UK_University of Greenwich | 0.22 | 0.12 | 0.60 | 0.31 | 0.79 | 0.46 | 0.29 | 0.51 | 0.84 | 0.94 | 0.79 | 0.66 | 0.82 | 0.40 | 0.35 | 0.26 | 0.17 | 0.75 | 101 |
USA_California State University, Long Beach | 0.13 | 0.08 | 0.13 | 0.18 | 0.76 | 0.32 | 0.17 | 0.10 | 0.70 | 0.35 | 0.27 | 0.21 | 0.38 | 0.49 | 0.43 | 0.25 | 0.13 | 0.45 | 279 |
USA_University of Arkansas | 0.59 | 0.46 | 0.46 | 0.47 | 0.59 | 0.43 | 0.55 | 0.35 | 0.34 | 0.28 | 0.35 | 0.48 | 0.36 | 0.76 | 0.67 | 0.66 | 0.38 | 0.84 | 45 |
Russia_Reshetnev Siberian State University of Science and Technology | 0.10 | 0.11 | 0.36 | 0.10 | 0.28 | 0.07 | 0.10 | 0.47 | 0.10 | 0.15 | 0.19 | 0.56 | 0.24 | 0.13 | 0.08 | 0.14 | 0.23 | 0.34 | 341 |
Italy_University of Palermo | 0.41 | 0.42 | 0.33 | 0.63 | 0.96 | 0.55 | 0.61 | 0.31 | 0.07 | 0.06 | 0.40 | 0.32 | 0.20 | 0.29 | 0.23 | 0.11 | 0.07 | 0.61 | 194 |
UK_De Montfort University | 0.23 | 0.14 | 0.19 | 0.23 | 0.00 | 0.57 | 0.21 | 0.20 | 0.71 | 0.86 | 0.52 | 0.56 | 0.67 | 0.32 | 0.27 | 0.09 | 0.04 | 0.63 | 183 |
Mexico_Metropolitan Autonomous University | 0.20 | 0.29 | 0.24 | 0.18 | 0.31 | 0.27 | 0.16 | 0.35 | 0.44 | 0.04 | 0.25 | 0.60 | 0.33 | 0.29 | 0.22 | 0.49 | 0.87 | 0.60 | 199 |
Iran_University of Isfahan | 0.58 | 0.62 | 0.49 | 0.41 | 0.13 | 0.16 | 0.54 | 0.10 | 0.09 | 0.09 | 0.11 | 0.08 | 0.08 | 0.35 | 0.31 | 0.10 | 0.05 | 0.40 | 308 |
UK_Leeds Beckett University | 0.10 | 0.08 | 0.29 | 0.18 | 0.26 | 0.43 | 0.19 | 0.40 | 0.65 | 0.53 | 0.34 | 0.43 | 0.49 | 0.34 | 0.29 | 0.08 | 0.03 | 0.60 | 201 |
UK_University of Huddersfield | 0.47 | 0.30 | 0.29 | 0.27 | 0.86 | 0.29 | 0.30 | 0.10 | 0.68 | 0.85 | 0.45 | 0.21 | 0.55 | 0.31 | 0.26 | 0.18 | 0.13 | 0.71 | 133 |
Kazakhstan_Suleyman Demirel University - Kazakhstan | 0.00 | 0.00 | 0.00 | 0.61 | 0.00 | 0.17 | 0.92 | 0.00 | 0.56 | 0.24 | 0.06 | 0.08 | 0.22 | 0.02 | 0.02 | 0.04 | 0.16 | 0.27 | 373 |
USA_Kent State University | 0.61 | 0.41 | 0.46 | 0.48 | 0.98 | 0.76 | 0.38 | 0.40 | 0.59 | 0.47 | 0.39 | 0.62 | 0.52 | 0.61 | 0.52 | 0.27 | 0.10 | 0.95 | 7 |
Russia_Saint-Petersburg state University of Architecture and Construction | 0.06 | 0.07 | 0.09 | 0.07 | 0.06 | 0.23 | 0.06 | 0.10 | 0.08 | 0.37 | 0.10 | 0.08 | 0.14 | 0.16 | 0.11 | 0.11 | 0.11 | 0.17 | 404 |
China_Hunan University | 0.51 | 0.51 | 0.36 | 0.59 | 0.30 | 0.85 | 0.54 | 0.40 | 0.33 | 0.14 | 0.16 | 0.38 | 0.24 | 0.45 | 0.39 | 0.68 | 0.75 | 0.71 | 134 |
Azerbaijan_Azerbaijan State University of Economics (UNEC) | 0.07 | 0.06 | 0.00 | 0.03 | 0.13 | 0.17 | 0.02 | 0.00 | 0.06 | 0.07 | 0.15 | 0.08 | 0.07 | 0.10 | 0.07 | 0.01 | 0.00 | 0.12 | 413 |
UK_Glasgow Caledonian University | 0.39 | 0.24 | 0.19 | 0.30 | 0.86 | 0.54 | 0.28 | 0.25 | 0.63 | 0.67 | 0.53 | 0.30 | 0.53 | 0.28 | 0.21 | 0.16 | 0.13 | 0.68 | 159 |
Spain_University of Seville | 0.62 | 0.60 | 0.55 | 0.36 | 0.60 | 0.39 | 0.38 | 0.54 | 0.26 | 0.34 | 0.50 | 0.48 | 0.39 | 0.24 | 0.17 | 0.27 | 0.37 | 0.74 | 110 |
Russia_Siberian State University of Water Transport | 0.08 | 0.09 | 0.00 | 0.10 | 0.08 | 0.08 | 0.10 | 0.00 | 0.12 | 0.17 | 0.19 | 0.08 | 0.13 | 0.14 | 0.10 | 0.16 | 0.26 | 0.21 | 396 |
Taiwan_Tatung University | 0.21 | 0.16 | 0.00 | 0.31 | 0.73 | 0.14 | 0.36 | 0.00 | 0.12 | 0.15 | 0.04 | 0.08 | 0.08 | 0.26 | 0.19 | 0.31 | 0.35 | 0.36 | 328 |
Taiwan_Fu Jen Catholic University | 0.28 | 0.13 | 0.36 | 0.27 | 0.37 | 0.21 | 0.29 | 0.35 | 0.42 | 0.48 | 0.09 | 0.43 | 0.35 | 0.33 | 0.27 | 0.60 | 0.80 | 0.63 | 182 |
Japan_Kindai University | 0.09 | 0.07 | 0.13 | 0.37 | 0.77 | 0.34 | 0.31 | 0.20 | 0.46 | 0.12 | 0.07 | 0.21 | 0.20 | 0.83 | 0.72 | 0.25 | 0.06 | 0.49 | 262 |
USA_Western Michigan University | 0.36 | 0.28 | 0.29 | 0.27 | 0.46 | 0.27 | 0.27 | 0.15 | 0.10 | 0.35 | 0.33 | 0.26 | 0.25 | 0.67 | 0.56 | 0.29 | 0.09 | 0.54 | 238 |
USA_North Dakota State University | 0.71 | 0.52 | 0.36 | 0.47 | 0.98 | 0.37 | 0.54 | 0.20 | 0.38 | 0.33 | 0.28 | 0.43 | 0.35 | 0.75 | 0.66 | 0.77 | 0.66 | 0.91 | 20 |
Iraq_Middle Technical University | 0.02 | 0.03 | 0.13 | 0.05 | 0.03 | 0.44 | 0.03 | 0.00 | 0.03 | 0.00 | 0.99 | 0.08 | 0.27 | 0.01 | 0.01 | 0.03 | 0.14 | 0.24 | 389 |
China_Guizhou University | 0.05 | 0.05 | 0.00 | 0.20 | 0.09 | 0.30 | 0.19 | 0.00 | 0.14 | 0.04 | 0.16 | 0.08 | 0.09 | 0.27 | 0.19 | 0.29 | 0.37 | 0.27 | 375 |
China_Xiangtan University | 0.16 | 0.11 | 0.09 | 0.32 | 0.31 | 0.48 | 0.29 | 0.10 | 0.33 | 0.10 | 0.08 | 0.08 | 0.13 | 0.24 | 0.16 | 0.48 | 0.69 | 0.41 | 303 |
Ireland_University of Limerick | 0.46 | 0.39 | 0.36 | 0.50 | 0.46 | 0.48 | 0.51 | 0.40 | 0.89 | 0.71 | 0.63 | 0.38 | 0.66 | 0.35 | 0.28 | 0.54 | 0.71 | 0.91 | 19 |
Thailand_King Mongkuts University of Technology Thonburi | 0.30| 0.24| 0.40| 0.25| 0.36| 0.34| 0.26| 0.40| 0.38| 0.14| 0.51| 0.60| 0.40| 0.46| 0.38| 0.62| 0.71| 0.71| 131| |Iran_Shahid Beheshti University | 0.65| 0.73| 0.51| 0.10| 0.18| 0.26| 0.08| 0.40| 0.11| 0.11| 0.08| 0.24| 0.12| 0.46| 0.38| 0.50| 0.42| 0.58| 215| |Italy_Universita Cattolica del Sacro Cuore | 0.44| 0.32| 0.24| 0.59| 0.83| 0.62| 0.59| 0.31| 0.61| 0.39| 0.43| 0.56| 0.50| 0.40| 0.32| 0.26| 0.21| 0.79| 72| |Taiwan_National Taiwan Ocean University | 0.25| 0.22| 0.13| 0.46| 0.35| 0.16| 0.65| 0.10| 0.36| 0.40| 0.20| 0.21| 0.29| 0.52| 0.41| 0.74| 0.79| 0.54| 240| |Russia_Rostov State University of Economics | 0.11| 0.06| 0.00| 0.01| 0.08| 0.02| 0.02| 0.00| 0.07| 0.15| 0.00| 0.08| 0.06| 0.05| 0.03| 0.06| 0.09| 0.09| 417| |Thailand_King Mongkut s Institute of Technology Ladkrabang |
0.33 | 0.24 | 0.13 | 0.17 | 0.89 | 0.10 | 0.19 | 0.54 | 0.40 | 0.07 | 0.24 | 0.48 | 0.29 | 0.39 | 0.31 | 0.80 | 0.91 | 0.71 | 132 |
Ireland_Dublin Institute of Technology | 0.11 | 0.07 | 0.13 | 0.20 | 0.14 | 0.45 | 0.18 | 0.57 | 0.64 | 0.75 | 0.80 | 0.48 | 0.68 | 0.37 | 0.29 | 0.24 | 0.17 | 0.61 | 192 |
Taiwan_National Changhua University of Education | 0.43 | 0.38 | 0.09 | 0.30 | 0.32 | 0.15 | 0.44 | 0.00 | 0.20 | 0.41 | 0.07 | 0.08 | 0.18 | 0.32 | 0.24 | 0.44 | 0.49 | 0.49 | 263 |
Republic of Korea_Chonbuk National University | 0.63 | 0.44 | 0.24 | 0.60 | 0.61 | 0.31 | 0.73 | 0.25 | 0.31 | 0.22 | 0.36 | 0.28 | 0.29 | 0.56 | 0.43 | 0.70 | 0.73 | 0.85 | 36 |
Iraq_Imam Jaafar Al-Sadiq University | 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.10| 0.18| 0.03| 0.00| 0.18| 0.08| 0.07| 0.04| 0.08| 0.14| 0.07| 420| |UK_Aston University | 0.37| 0.28| 0.40| 0.49| 0.94| 0.60| 0.50| 0.47| 0.88| 0.82| 0.83| 0.60| 0.80| 0.48| 0.39| 0.33| 0.25| 0.99| 2| |Turkey_Hacettepe University | 0.68| 0.67| 0.79| 0.32| 0.87| 0.40| 0.30| 0.77| 0.24| 0.23| 0.20| 0.76| 0.36| 0.54| 0.42| 0.21| 0.15| 0.74| 115| |Iraq_Al-Esraa University College | 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.08| 0.00| 0.23| 0.15| 0.08| 0.07| 0.07| 418| |Mexico_Autonomous University of Mexico State | 0.11| 0.13| 0.24| 0.12| 0.67| 0.11| 0.12| 0.25| 0.18| 0.05| 0.35| 0.35| 0.22| 0.27| 0.18| 0.17| 0.19| 0.32| 348| |Iran_K. N. Toosi University of Technology | 0.81| 0.77| 0.33| 0.66| 0.05| 0.23| 0.94| 0.25| 0.36| 0.09| 0.08| 0.30| 0.19| 0.46| 0.36| 0.60| 0.55| 0.70| 140| |UK_London Metropolitan University | 0.28| 0.15| 0.33| 0.20| 0.97| 0.21| 0.22| 0.40| 0.77| 0.96| 0.64| 0.43| 0.71| 0.40| 0.30| 0.05| 0.02| 0.76| 93| |Taiwan_Ming Chuan University | 0.04| 0.03| 0.00| 0.16| 0.50| 0.12| 0.18| 0.10| 0.40| 0.55| 0.07| 0.18| 0.29| 0.25| 0.16| 0.23| 0.21| 0.37| 318| |Turkey_Istanbul Technical University | 0.33| 0.40| 0.81| 0.37| 0.12| 0.51| 0.30| 0.76| 0.28| 0.25| 0.42| 0.78| 0.43| 0.99| 0.97| 1.00| 0.99| 0.99| 3| |Thailand_Kasetsart University | 0.25| 0.17| 0.46| 0.19| 0.93| 0.19| 0.18| 0.51| 0.35| 0.06| 0.69| 0.48| 0.39| 0.46| 0.34| 0.53| 0.46| 0.73| 116| |North Macedonia_European University Skopje | 0.06| 0.06| 0.00| 0.00| 0.00| 0.02| 0.03| 0.00| 0.48| 0.92| 0.00| 0.08| 0.37| 0.16| 0.09| 0.03| 0.01| 0.20| 398| |Brazil_Pontificia Universidade Catolica do Rio Grande do Sul | 0.67| 0.47| 0.24| 0.22| 0.60| 0.28| 0.21| 0.10| 0.20| 0.04| 0.39| 0.18| 0.19| 0.39| 0.28| 0.41| 0.54| 0.60| 197| |Turkey_Istanbul Medipol University | 0.03| 0.05| 0.00| 0.16| 0.03| 0.10| 0.19| 0.00| 0.20| 0.13| 0.05| 0.08| 0.10| 0.51| 0.39| 0.24| 0.11| 0.20| 397| |Romania_University Politechica of Bucharest | 0.28| 0.07| 0.60| 0.38| 0.09| 0.23| 0.43| 0.51| 0.09| 0.18| 0.39| 0.24| 0.21| 0.23| 0.14| 0.51| 0.73| 0.52| 252| |USA_Northern Arizona University | 0.32| 0.19| 0.40| 0.31| 0.30| 0.83| 0.23| 0.35| 0.27| 0.26| 0.38| 0.48| 0.34| 0.51| 0.39| 0.30| 0.16| 0.62| 186| |Taiwan_Feng Chia University | 0.16| 0.10| 0.46| 0.25| 0.18| 0.15| 0.31| 0.51| 0.29| 0.67| 0.27| 0.43| 0.41| 0.35| 0.24| 0.55| 0.74| 0.62| 184| |Turkey_Bogazici University | 0.34| 0.30| 0.81| 0.60| 0.14| 0.90| 0.46| 0.74| 0.47| 0.19| 0.89| 0.80| 0.60| 0.44| 0.33| 0.44| 0.55| 0.93| 13| |India_Indian Institute of Technology (Indian School of Mines) | 0.96| 0.88| 0.09| 0.58| 0.59| 0.33| 0.84| 0.10| 0.00| 0.08| 0.03| 0.21| 0.06| 0.49| 0.36| 0.39| 0.28| 0.70| 142| |USA_State University of New York, Binghamton | 0.51| 0.34| 0.51| 0.43| 0.42| 0.47| 0.42| 0.40| 0.50| 0.62| 0.34| 0.48| 0.49| 0.71| 0.55| 0.47| 0.20| 0.82| 62| |Greece_University of Crete | 0.37| 0.32| 0.19| 0.80| 0.20| 0.77| 0.72| 0.31| 0.18| 0.24| 0.93| 0.35| 0.42| 0.19| 0.12| 0.46| 0.79| 0.84| 42| |Republic of Korea_Kyungpook National University | 0.68| 0.41| 0.43| 0.74| 0.33| 0.30| 0.89| 0.40| 0.43| 0.34| 0.29| 0.38| 0.35| 0.78| 0.61| 0.84| 0.70| 0.98| 4| |Kuwait_Kuwait University | 0.03| 0.03| 0.29| 0.21| 0.07| 0.25| 0.22| 0.15| 0.70| 0.63| 0.72| 0.21| 0.57| 0.98| 0.92| 0.23| 0.02| 0.64| 176| |Russia_Kozma Minin Nizhny Novgorod State Pedagogical University | 0.13| 0.10| 0.00| 0.04| 0.46| 0.02| 0.07| 0.00| 0.05| 0.21| 0.05| 0.08| 0.08| 0.07| 0.04| 0.14| 0.33| 0.20| 400| |Taiwan_National University of Kaohsiung | 0.00| 0.00| 0.00| 0.43| 0.00| 0.12| 0.56| 0.00| 0.37| 0.18| 0.15| 0.08| 0.18| 0.32| 0.20| 0.52| 0.59| 0.35| 336| |USA_Florida International University | 0.78| 0.37| 0.29| 0.51| 0.55| 0.68| 0.45| 0.25| 0.47| 0.41| 0.50| 0.53| 0.48| 0.77| 0.60| 0.50| 0.24| 0.85| 35| |Republic of Georgia_Ivane Javakhishvili Tbilisi State University | 0.23| 0.16| 0.33| 0.32| 0.06| 0.99| 0.19| 0.54| 0.60| 0.14| 0.98| 0.48| 0.56| 0.08| 0.05| 0.16| 0.73| 0.68| 160| |Iraq_Dijlah University College | 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.00| 0.22| 0.02| 0.00| 0.08| 0.06| 0.35| 0.23| 0.02| 0.01| 0.11| 414| |Iraq_University of Samarra | 0.05| 0.00| 0.00| 0.02| 0.04| 0.09| 0.02| 0.00| 0.00| 0.00| 0.00| 0.08| 0.00| 0.03| 0.03| 0.02| 0.04| 0.05| 427| |South Africa_University of Johannesburg | 0.32| 0.20| 0.40| 0.45| 0.48| 0.62| 0.42| 0.25| 0.80| 0.63| 0.86| 0.35| 0.67| 0.72| 0.55| 0.45| 0.26| 0.85| 39| |Japan_Shibaura Institute of Technology | 0.15| 0.09| 0.46| 0.23| 0.23| 0.11| 0.28| 0.54| 0.50| 0.68| 0.22| 0.48| 0.47| 0.88| 0.74| 0.28| 0.06| 0.62| 185| |Portugal_ISCTE – University Institute of Lisbon | 0.61| 0.58| 0.13| 0.26| 0.11| 0.29| 0.35| 0.20| 0.39| 0.57| 0.62| 0.35| 0.49| 0.20| 0.12| 0.43| 0.80| 0.60| 202| |Chile_Pontificial Catholic University of Valparaiso | 0.24| 0.20| 0.24| 0.24| 0.58| 0.20| 0.29| 0.20| 0.52| 0.07| 0.74| 0.28| 0.40| 0.34| 0.22| 0.33| 0.43| 0.60| 200| |USA_University of Texas at San Antonio | 0.31| 0.19| 0.46| 0.54| 0.65| 0.67| 0.47| 0.44| 0.16| 0.23| 0.52| 0.53| 0.36| 0.62| 0.44| 0.40| 0.23| 0.77| 91| |Iran_University of Tehran | 0.95| 0.93| 0.87| 0.54| 0.00| 0.35| 0.73| 0.85| 0.08| 0.12| 0.27| 0.78| 0.31| 0.12| 0.06| 0.21| 0.39| 0.84| 50| |Russia_Belgorod State Technological University | 0.00| 0.00| 0.19| 0.03| 0.00| 0.02| 0.04| 0.15| 0.30| 0.50| 0.02| 0.08| 0.21| 0.20| 0.12| 0.33| 0.81| 0.36| 331| |Taiwan_Tamkang University | 0.16| 0.10| 0.33| 0.24| 0.47| 0.16| 0.26| 0.31| 0.42| 0.40| 0.24| 0.30| 0.33| 0.26| 0.16| 0.31| 0.35| 0.51| 253| |Japan_Tokyo University of Science | 0.27| 0.17| 0.63| 0.62| 0.48| 0.31| 0.67| 0.64| 0.37| 0.12| 0.12| 0.69| 0.32| 0.48| 0.33| 0.36| 0.24| 0.72| 125| |Taiwan_National Yunlin University of Science and Technology | 0.27| 0.18| 0.09| 0.31| 0.14| 0.12| 0.43| 0.15| 0.20| 0.50| 0.03| 0.26| 0.24| 0.55| 0.38| 0.96| 0.98| 0.74| 106| |Egypt_Beni-Suef University | 0.16| 0.11| 0.00| 0.18| 0.11| 0.54| 0.15| 0.00| 0.37| 0.08| 0.92| 0.08| 0.36| 0.04| 0.03| 0.01| 0.01| 0.33| 343| |Italy_University of Ferrara | 0.60| 0.55| 0.33| 0.85| 0.86| 0.65| 0.82| 0.35| 0.06| 0.37| 0.72| 0.43| 0.39| 0.30| 0.17| 0.21| 0.21| 0.69| 150| |USA_University of Texas at Arlington | 0.50| 0.21| 0.33| 0.50| 0.83| 0.61| 0.44| 0.25| 0.29| 0.64| 0.62| 0.32| 0.47| 0.73| 0.54| 0.49| 0.23| 0.77| 84| |Jordan_Al-Ahliyya Amman University | 0.00| 0.00| 0.09| 0.10| 0.00| 0.09| 0.10| 0.00| 0.80| 0.99| 0.61| 0.18| 0.65| 0.22| 0.13| 0.00| 0.00| 0.40| 307| |Romania_Babes-Bolyai University | 0.27| 0.21| 0.58| 0.34| 0.10| 0.41| 0.35| 0.54| 0.68| 0.19| 0.66| 0.64| 0.55| 0.16| 0.08| 0.19| 0.32| 0.64| 178| |USA_Miami University | 0.24| 0.11| 0.46| 0.37| 0.54| 0.31| 0.43| 0.35| 0.22| 0.61| 0.23| 0.62| 0.42| 0.85| 0.66| 0.23| 0.05| 0.68| 156| |Jordan_University of Petra (UOP) | 0.00| 0.00| 0.00| 0.14| 0.00| 0.13| 0.12| 0.00| 0.62| 0.87| 0.76| 0.08| 0.59| 0.09| 0.04| 0.14| 0.30| 0.28| 370| |Iran_Kashan University | 0.50| 0.47| 0.00| 0.71| 0.05| 0.55| 0.81| 0.00| 0.18| 0.08| 0.03| 0.08| 0.08| 0.03| 0.02| 0.17| 0.77| 0.36| 327| |Australia_University of Southern Queensland | 0.41| 0.29| 0.09| 0.36| 0.35| 0.53| 0.37| 0.35| 0.77| 0.66| 0.74| 0.35| 0.64| 0.53| 0.34| 0.22| 0.10| 0.72| 130| |Taiwan_National Chiayi University | 0.12| 0.08| 0.00| 0.23| 0.24| 0.10| 0.28| 0.00| 0.11| 0.21| 0.06| 0.08| 0.10| 0.34| 0.20| 0.53| 0.67| 0.31| 356| |Thailand_University of the Thai Chamber of Commerce | 0.04| 0.04| 0.00| 0.05| 0.04| 0.06| 0.05| 0.00| 0.43| 0.20| 0.81| 0.08| 0.38| 0.16| 0.07| 0.15| 0.20| 0.28| 372| |Greece_Aristotle University of Thessaloniki | 0.42| 0.36| 0.58| 0.41| 0.16| 0.58| 0.36| 0.47| 0.08| 0.26| 0.66| 0.43| 0.35| 0.03| 0.02| 0.19| 0.99| 0.70| 138| |Iran_Alzahra University | 0.43| 0.36| 0.09| 0.32| 0.29| 0.33| 0.33| 0.00| 0.14| 0.06| 0.03| 0.08| 0.06| 0.36| 0.20| 0.08| 0.03| 0.34| 342| |Italy_University of Brescia | 0.26| 0.19| 0.19| 0.75| 0.00| 0.63| 0.78| 0.10| 0.35| 0.32| 0.52| 0.18| 0.34| 0.37| 0.20| 0.26| 0.22| 0.68| 155| |Iraq_University of Kirkuk | 0.06| 0.04| 0.00| 0.06| 0.26| 0.08| 0.04| 0.00| 0.40| 0.03| 0.97| 0.08| 0.37| 0.13| 0.05| 0.11| 0.32| 0.37| 320| |Egypt_Alexandria University | 0.35| 0.30| 0.40| 0.14| 0.21| 0.20| 0.14| 0.20| 0.15| 0.17| 0.90| 0.35| 0.39| 0.14| 0.06| 0.50| 0.96| 0.56| 224| |Greece_University of Patras | 0.40| 0.36| 0.24| 0.34| 0.22| 0.35| 0.32| 0.20| 0.09| 0.25| 0.58| 0.08| 0.24| 0.15| 0.06| 0.23| 0.78| 0.54| 234| |Italy_Ca Foscari University of Venice |
0.60 | 0.49 | 0.40 | 0.31 | 0.93 | 0.40 | 0.33 | 0.31 | 0.63 | 0.49 | 0.55 | 0.28 | 0.49 | 0.38 | 0.20 | 0.38 | 0.44 | 0.78 | 77 |
Italy_University of Turin | 0.51 | 0.38 | 0.51 | 0.76 | 0.83 | 0.70 | 0.74 | 0.40 | 0.28 | 0.42 | 0.63 | 0.35 | 0.42 | 0.36 | 0.19 | 0.39 | 0.44 | 0.81 | 65 |
Iraq_Al-Farabi University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.29 | 0.15 | 0.17 | 0.11 | 0.07 | 421 |
Ireland_Maynooth University | 0.44 | 0.23 | 0.43 | 0.68 | 0.40 | 0.88 | 0.44 | 0.10 | 0.91 | 0.56 | 0.84 | 0.30 | 0.66 | 0.62 | 0.40 | 0.59 | 0.49 | 0.95 | 8 |
Taiwan_I-Shou University | 0.10 | 0.06 | 0.00 | 0.39 | 0.11 | 0.14 | 0.55 | 0.00 | 0.48 | 0.62 | 0.05 | 0.08 | 0.30 | 0.42 | 0.23 | 0.51 | 0.46 | 0.44 | 283 |
Turkey_Gebze Technical University | 0.46 | 0.75 | 0.29 | 0.31 | 0.07 | 0.16 | 0.39 | 0.15 | 0.42 | 0.12 | 0.31 | 0.30 | 0.28 | 0.48 | 0.26 | 0.51 | 0.71 | 0.59 | 205 |
Turkey_Erciyes University | 0.40 | 0.25 | 0.19 | 0.28 | 0.41 | 0.18 | 0.33 | 0.10 | 0.35 | 0.17 | 0.05 | 0.28 | 0.20 | 0.75 | 0.51 | 0.80 | 0.66 | 0.65 | 170 |
Australia_University of Canberra | 0.46 | 0.19 | 0.29 | 0.73 | 0.63 | 0.88 | 0.73 | 0.31 | 0.63 | 0.89 | 0.44 | 0.43 | 0.60 | 0.64 | 0.40 | 0.32 | 0.16 | 0.82 | 59 |
Iran_Babol Noshirvani University of Technology | 0.30 | 0.22 | 0.29 | 0.88 | 0.07 | 0.98 | 0.89 | 0.15 | 0.00 | 0.02 | 0.09 | 0.26 | 0.07 | 0.28 | 0.13 | 0.36 | 0.42 | 0.50 | 258 |
Taiwan_Asia University (Taiwan) | 0.14 | 0.08 | 0.13 | 0.58 | 0.17 | 0.23 | 0.80 | 0.00 | 0.51 | 0.29 | 0.21 | 0.21 | 0.30 | 0.65 | 0.41 | 0.95 | 0.94 | 0.59 | 213 |
Latvia_Riga Technical University | 0.54 | 0.45 | 0.29 | 0.20 | 0.20 | 0.44 | 0.20 | 0.25 | 0.65 | 0.53 | 0.78 | 0.48 | 0.62 | 0.35 | 0.17 | 0.58 | 0.86 | 0.67 | 162 |
Turkey_Gazi University | 0.48 | 0.42 | 0.60 | 0.22 | 0.16 | 0.16 | 0.24 | 0.51 | 0.02 | 0.14 | 0.06 | 0.48 | 0.17 | 0.31 | 0.15 | 0.21 | 0.26 | 0.48 | 268 |
USA_San Diego State University | 0.37 | 0.16 | 0.40 | 0.53 | 0.68 | 0.53 | 0.55 | 0.35 | 0.28 | 0.41 | 0.31 | 0.48 | 0.37 | 0.82 | 0.56 | 0.48 | 0.15 | 0.77 | 88 |
Canada_Universite du Quebec a Montreal | 0.43 | 0.27 | 0.63 | 0.44 | 0.46 | 0.51 | 0.46 | 0.64 | 0.53 | 0.69 | 0.58 | 0.78 | 0.66 | 0.43 | 0.21 | 0.34 | 0.29 | 0.86 | 30 |
Italy_University of Bari | 0.26 | 0.23 | 0.19 | 0.71 | 0.62 | 0.82 | 0.64 | 0.31 | 0.37 | 0.11 | 0.55 | 0.26 | 0.32 | 0.33 | 0.16 | 0.22 | 0.17 | 0.65 | 168 |
Taiwan_National Formosa University | 0.03 | 0.03 | 0.00 | 0.26 | 0.06 | 0.12 | 0.36 | 0.00 | 0.12 | 0.08 | 0.02 | 0.08 | 0.06 | 0.39 | 0.18 | 0.49 | 0.49 | 0.34 | 338 |
India_Cochin University of Science and Technology | 0.86 | 0.76 | 0.13 | 0.30 | 0.22 | 0.11 | 0.44 | 0.10 | 0.00 | 0.04 | 0.06 | 0.28 | 0.08 | 0.63 | 0.36 | 0.28 | 0.12 | 0.44 | 284 |
Iraq_Southern Technical University | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.11 | 0.02 | 0.00 | 0.00 | 0.00 | 0.99 | 0.08 | 0.26 | 0.04 | 0.02 | 0.02 | 0.03 | 0.12 | 412 |
Australia_Edith Cowan University | 0.36 | 0.13 | 0.36 | 0.50 | 0.95 | 0.67 | 0.49 | 0.35 | 0.75 | 0.86 | 0.70 | 0.35 | 0.67 | 0.61 | 0.34 | 0.26 | 0.10 | 0.85 | 38 |
Iran_Allameh Tabataba’i University | 0.82 | 0.73 | 0.09 | 0.14 | 0.17 | 0.51 | 0.13 | 0.00 | 0.16 | 0.08 | 0.41 | 0.08 | 0.17 | 0.12 | 0.04 | 0.14 | 0.27 | 0.42 | 292 |
Turkey_Middle East Technical University | 0.62 | 0.54 | 0.92 | 0.32 | 0.31 | 0.37 | 0.30 | 0.89 | 0.41 | 0.31 | 0.42 | 0.89 | 0.51 | 0.62 | 0.34 | 0.43 | 0.68 | 0.94 | 10 |
Iran_Iran University of Science & Technology | 0.88 | 0.50 | 0.57 | 0.75 | 0.41 | 0.29 | 0.97 | 0.47 | 0.00 | 0.05 | 0.07 | 0.24 | 0.07 | 0.70 | 0.41 | 0.87 | 0.80 | 0.70 | 137 |
Canada_Concordia University | 0.44 | 0.26 | 0.43 | 0.42 | 0.23 | 0.39 | 0.53 | 0.44 | 0.84 | 0.88 | 0.53 | 0.60 | 0.72 | 0.50 | 0.24 | 0.37 | 0.28 | 0.78 | 82 |
Iraq_Madenat Al-elem University College | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.08 | 0.02 | 0.00 | 0.31 | 0.00 | 0.00 | 0.08 | 0.08 | 0.04 | 0.02 | 0.05 | 0.21 | 0.10 | 415 |
Taiwan_Chung Yuan Christian University | 0.29 | 0.14 | 0.29 | 0.44 | 0.37 | 0.14 | 0.59 | 0.51 | 0.19 | 0.53 | 0.27 | 0.43 | 0.35 | 0.52 | 0.24 | 0.67 | 0.60 | 0.59 | 207 |
Iraq_Baghdad College Of Economic Sciences University | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.03 | 0.04 | 0.00 | 0.00 | 0.00 | 0.63 | 0.08 | 0.16 | 0.17 | 0.06 | 0.01 | 0.00 | 0.16 | 407 |
Thailand_Suranaree University of Technology | 0.45 | 0.23 | 0.19 | 0.36 | 0.63 | 0.40 | 0.35 | 0.51 | 0.38 | 0.07 | 0.64 | 0.48 | 0.39 | 0.83 | 0.52 | 0.58 | 0.25 | 0.88 | 29 |
Thailand_Mahasarakham University | 0.35 | 0.19 | 0.00 | 0.12 | 0.76 | 0.12 | 0.10 | 0.00 | 0.38 | 0.05 | 0.44 | 0.08 | 0.23 | 0.08 | 0.03 | 0.05 | 0.11 | 0.37 | 317 |
Iraq_University of Alkafeel | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 | 0.08 | 0.09 | 0.30 | 0.13 | 0.22 | 0.20 | 0.14 | 410 |
USA_University of Central Florida | 0.65 | 0.26 | 0.55 | 0.46 | 0.54 | 0.58 | 0.47 | 0.64 | 0.39 | 0.20 | 0.43 | 0.72 | 0.43 | 0.77 | 0.42 | 0.55 | 0.28 | 0.86 | 34 |
Taiwan_Soochow University (Taiwan) | 0.08 | 0.05 | 0.46 | 0.19 | 0.19 | 0.18 | 0.20 | 0.51 | 0.35 | 0.25 | 0.10 | 0.43 | 0.27 | 0.41 | 0.16 | 0.26 | 0.16 | 0.42 | 294 |
Egypt_Cairo University | 0.46 | 0.22 | 0.73 | 0.24 | 0.32 | 0.38 | 0.22 | 0.66 | 0.21 | 0.14 | 0.64 | 0.74 | 0.43 | 0.19 | 0.06 | 0.08 | 0.07 | 0.59 | 212 |
Vietnam_Can Tho University | 0.07 | 0.04 | 0.00 | 0.13 | 0.36 | 0.27 | 0.11 | 0.00 | 0.00 | 0.03 | 0.98 | 0.08 | 0.26 | 0.05 | 0.02 | 0.14 | 0.50 | 0.31 | 357 |
Egypt_Kafrelsheikh University | 0.22 | 0.13 | 0.00 | 0.15 | 0.07 | 0.62 | 0.13 | 0.00 | 0.22 | 0.09 | 0.97 | 0.08 | 0.33 | 0.10 | 0.03 | 0.11 | 0.27 | 0.36 | 330 |
Iraq_Al-Kunooze University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 | 0.08 | 0.05 | 0.01 | 0.01 | 0.02 | 0.06 | 0.06 | 423 |
France_Universite de Paris-Nord - Paris 13 | 0.43 | 0.30 | 0.19 | 0.52 | 0.13 | 0.44 | 0.62 | 0.00 | 0.72 | 0.45 | 0.51 | 0.24 | 0.48 | 0.17 | 0.04 | 0.49 | 0.86 | 0.79 | 76 |
Taiwan_Chaoyang University of Technology | 0.11 | 0.05 | 0.46 | 0.18 | 0.40 | 0.09 | 0.22 | 0.51 | 0.23 | 0.39 | 0.05 | 0.43 | 0.27 | 0.44 | 0.15 | 0.36 | 0.24 | 0.49 | 264 |
Turkey_Ataturk University | 0.53 | 0.27 | 0.00 | 0.27 | 0.66 | 0.18 | 0.26 | 0.00 | 0.26 | 0.14 | 0.04 | 0.08 | 0.11 | 0.32 | 0.11 | 0.43 | 0.70 | 0.44 | 282 |
Australia_Australian Catholic University | 0.24 | 0.10 | 0.29 | 0.49 | 0.79 | 0.65 | 0.59 | 0.40 | 0.87 | 0.56 | 0.55 | 0.38 | 0.60 | 0.72 | 0.29 | 0.26 | 0.08 | 0.84 | 44 |
Greece_Athens University of Economics and Business | 0.45 | 0.25 | 0.19 | 0.29 | 0.51 | 0.28 | 0.38 | 0.20 | 0.12 | 0.26 | 0.82 | 0.21 | 0.35 | 0.20 | 0.05 | 0.60 | 0.89 | 0.54 | 233 |
Israel_Interdisciplinary Center Herzliya (IDC Herzliya) | 0.00 | 0.00 | 0.00 | 0.20 | 0.00 | 0.34 | 0.21 | 0.00 | 0.09 | 0.83 | 0.60 | 0.08 | 0.40 | 0.65 | 0.21 | 0.13 | 0.13 | 0.23 | 390 |
Italy_University of Rome III | 0.58 | 0.35 | 0.40 | 0.54 | 0.37 | 0.72 | 0.48 | 0.35 | 0.48 | 0.26 | 0.76 | 0.28 | 0.44 | 0.47 | 0.13 | 0.30 | 0.31 | 0.73 | 119 |
Mexico_Universidad de Guadalajara | 0.24 | 0.12 | 0.24 | 0.17 | 0.29 | 0.12 | 0.15 | 0.25 | 0.21 | 0.04 | 0.41 | 0.28 | 0.22 | 0.71 | 0.22 | 0.27 | 0.15 | 0.43 | 289 |
Turkey_Istanbul University | 0.80 | 0.47 | 0.72 | 0.32 | 0.35 | 0.19 | 0.39 | 0.70 | 0.41 | 0.32 | 0.14 | 0.70 | 0.39 | 0.46 | 0.09 | 0.83 | 0.96 | 0.81 | 67 |
South Africa_University of South Africa | 0.47 | 0.07 | 0.36 | 0.18 | 1.00 | 0.26 | 0.24 | 0.25 | 0.45 | 0.36 | 0.43 | 0.35 | 0.40 | 0.78 | 0.09 | 0.13 | 0.02 | 0.69 | 147 |
The final step is to compare the results of the partial rankings to the corresponding part of the original rankings. The results of the Spearman’s rank correlation shows a strong positive relationship between the two ranking.
## [1] 0.8650477
##
## Spearman's rank correlation rho
##
## data: B$Rank and RANK_RUR[rownames(B), ]
## S = 1788266, p-value < 2.2e-16
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
## rho
## 0.8650477
The change of the threshold shows its impacts on leagues. The thresholds are 1-0.75 (specifies Q3 leagues) and 1-0.9 (specifies D9 leagues).
The next step is to identify the lower Q3 league bicluster.
rmtx<-1-mtx
rres <- iBBiG(binaryMatrix=binarize(rmtx,threshold = 0.75),nModules = 1,alpha=0.33,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 1410.066 and
## 192 Rows and 15 columns
The results of the iBBiG algorithm can be seen above. The algorithm found one bicluster in which there are 192 rows (HEIs) and 15 columns (indicators). The following step is to calculate the F-tests to determine whether the bicluster is significant or not.
In Table 14 the results of the row and column effects (F-tests) can be read. Both the row and column effects are significant, so the lower Q3 league bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:rres@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=rres,number=i)
}
kable(Obs.FStat,caption = "**Table 14** The results of row and column effects for the lower (Q3) league")
|
To see the differences between those HEIs that are included in the lower league and those that are not in the lower league, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 23). (The horizontal axis of Fig. 23 shows the HEIs, the vertical axis shows the mentioned parameters on normalized (0-1) data of indicators.) On Fig. 23 the red line indicates those HEIs that are included in the lower league, while the black line shows the remaining HEIs. The HEIs in the lower league have higher means and medians, and have lower variances.
Fig. 23 Mean, median, variance and MAD for the lower Q3 league HEIs
One can do the same for the columns (indicators). Fig. 24 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. (The horizontal axis of Fig. 24 shows the indicators, the vertical axis shows the mentioned parameters on normalized (0-1) data of HEIs.) The red line indicates those indicators that are in the lower league, while the black line shows the remaining indicators.
Fig. 24 Mean, median, variance and MAD for the lower Q3 league indicators
Fig. 25 depicts the heat map of the lower Q3 league. The lower league contains 192 HEIs and 15 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 25 Heat map of the lower league
Fig. 26 shows the heat map of the results of iBBiG on normalized data. The lower league can be seen in the upper left corner of Fig. 26 which is enlarged on Fig. 25.
Fig. 26 Heat map of the output after applying iBBiG on normalized data
The next step is to check the stability of the lower league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=rres,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 1.1346220 1.7246512
## [2,] 1.2284824 1.4969680
## [3,] 1.0644934 0.2755288
## [4,] 1.0392018 0.9032583
## [5,] 0.9979667 1.4838121
## [6,] 1.2174318 0.6883583
## [7,] 0.9611290 0.9689052
## [8,] 0.8418212 1.0646394
## [9,] 1.0854233 0.9649596
## [10,] 1.0241670 1.3591502
## [11,] 0.9608506 1.1011497
## [12,] 0.9426786 0.7167657
## [13,] 0.9142851 1.2235522
## [14,] 1.0725213 0.9621779
## [15,] 0.9901920 0.5857285
## [16,] 1.0568263 1.5619685
## [17,] 0.9987146 0.7977896
## [18,] 1.2345716 1.0722392
## [19,] 1.0773565 0.8150942
## [20,] 1.0339060 1.1172004
## [21,] 1.0010921 1.6869969
## [22,] 1.0478400 0.8884631
## [23,] 1.0472153 0.7869641
## [24,] 0.8209609 0.8098253
## [25,] 1.1443821 1.0838170
## [26,] 0.9124266 1.6929268
## [27,] 1.1387344 1.2746495
## [28,] 1.1125787 0.5226662
## [29,] 0.7793693 0.6663301
## [30,] 1.0799942 1.7534225
## [31,] 1.0308469 1.6175309
## [32,] 1.1225386 0.5987368
## [33,] 0.8644892 1.2257647
## [34,] 0.9407072 1.5316862
## [35,] 0.9040662 1.1524228
## [36,] 1.0067799 0.7570320
## [37,] 1.1096299 1.7919178
## [38,] 1.2970232 0.4376241
## [39,] 0.8818019 0.5974030
## [40,] 1.0024075 1.2464509
## [41,] 1.1161974 0.5364871
## [42,] 1.0628210 0.4303755
## [43,] 1.1142671 0.7500426
## [44,] 0.9584590 0.8190445
## [45,] 0.9321269 0.7699721
## [46,] 1.0458544 1.0865598
## [47,] 1.1279298 1.1315625
## [48,] 0.9966410 0.7543168
## [49,] 0.8682687 0.6728694
## [50,] 1.0102708 0.9363063
## [51,] 0.9350361 0.9609271
## [52,] 1.0471460 0.7002710
## [53,] 1.0953821 0.8409138
## [54,] 0.9022104 0.7118255
## [55,] 1.1191610 1.6906617
## [56,] 1.0743818 1.1202011
## [57,] 0.9996124 0.8086031
## [58,] 1.0047539 1.8175768
## [59,] 1.0827484 0.4336473
## [60,] 1.0445418 1.6153020
## [61,] 0.9003234 0.9807364
## [62,] 0.8732914 0.7705991
## [63,] 1.0202136 1.0167442
## [64,] 0.9808242 0.6747080
## [65,] 0.9717269 0.5263464
## [66,] 0.8641766 1.5298948
## [67,] 1.0998759 0.6972522
## [68,] 1.1354529 1.7436053
## [69,] 0.8012027 0.8427738
## [70,] 0.9624299 0.8523900
## [71,] 1.1727565 0.9316863
## [72,] 1.1463766 1.2365725
## [73,] 1.1618158 1.2011857
## [74,] 0.9905490 1.0767618
## [75,] 0.9976769 0.8855706
## [76,] 1.0517807 0.8715837
## [77,] 0.8550268 0.8606220
## [78,] 0.9945083 1.5983845
## [79,] 1.0194398 1.2618819
## [80,] 1.1419173 1.3133917
## [81,] 1.0826511 1.0814980
## [82,] 0.8401250 0.5850069
## [83,] 1.1591625 1.1246819
## [84,] 0.8748535 1.8648701
## [85,] 1.0305646 0.7157651
## [86,] 1.1176092 0.9948202
## [87,] 0.9019070 1.0922713
## [88,] 0.9069623 1.1649626
## [89,] 0.8835643 0.8727355
## [90,] 0.9082215 0.4136790
## [91,] 0.9916412 1.8529855
## [92,] 1.1705626 0.7379912
## [93,] 1.1009984 1.2840614
## [94,] 1.0136647 0.8361407
## [95,] 0.9527624 1.0552024
## [96,] 0.9520972 0.8953922
## [97,] 1.0632558 1.1903098
## [98,] 0.9844552 0.7921992
## [99,] 1.0384362 0.9064696
## [100,] 0.9197432 1.1144635
##
## $observedFstatRow
## [1] 3.471552
##
## $observedFstatCol
## [1] 12.65199
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0
Since the bootstrapPvalueCol and the bootstrapPvalueRow are lower than 0.01, the bicluster is stable both for rows and columns.
The next step is to calculate partial rankings based on the indicators and HEIs in the lower league. The calculation of each score of each indicator of the HEIs are done according to the method used in the original RUR ranking. The original weights of RUR’s indicators are used, and the total scores for the HEIs are calculated using the selected indicators in the given bicluster. Table 15 shows the result of partial ranking in the case of the lower league.
C<-biclust::bicluster(mtx,rres,number=1)
B<-as.data.frame(C[[1]])
selectedweight<-weights[,colnames(B)]
cols <- colnames(B)
sw<-weights[,cols]
BR<-rowSums(B[,cols]*sw)/max(rowSums(B[,cols]*sw))
B$Overall_Score<-BR
B$Rank<-rank(-B$Overall_Score)
kable(B,caption = "**Table 15** Q3 League C by iBBiG",digits = 2)
T3 | T4 | T5 | R1 | R2 | R3 | R4 | R5 | I1 | I2 | I4 | F1 | F2 | F4 | F5 | Overall_Score | Rank | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Belarus_National Institute of Higher Education | 0.12 | 0.00 | 0.19 | 0.00 | 0.05 | 0.00 | 0.00 | 0.15 | 0.00 | 0.00 | 0.26 | 0.94 | 1.00 | 0.98 | 0.75 | 0.56 | 31 |
Iraq_Al-Karkh University of Science | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.03 | 0.03 | 0.00 | 0.24 | 0.00 | 0.08 | 0.01 | 0.01 | 0.20 | 1.00 | 0.32 | 112 |
Iraq_University of Information Technology and Communications | 0.00 | 0.00 | 0.00 | 0.01 | 0.00 | 0.02 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.11 | 0.86 | 0.13 | 0.21 | 0.12 | 173 |
Iraq_Al-Qasim green university Iraq | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.14 | 0.07 | 0.00 | 0.00 | 0.00 | 0.08 | 0.09 | 0.63 | 0.09 | 0.12 | 0.14 | 166 |
Russia_European University at St. Petersburg | 0.00 | 0.00 | 0.33 | 0.10 | 0.00 | 0.17 | 0.17 | 0.31 | 0.55 | 0.77 | 0.08 | 0.25 | 0.88 | 0.24 | 0.36 | 0.49 | 51 |
Russia_Mechnikov St Petersburg State Medical Academy | 0.03 | 0.03 | 0.00 | 0.11 | 0.73 | 0.49 | 0.06 | 0.00 | 0.03 | 0.40 | 0.08 | 0.62 | 0.96 | 0.06 | 0.01 | 0.39 | 83 |
Kazakhstan_Shakarim University | 0.04 | 0.04 | 0.00 | 0.02 | 0.97 | 0.02 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.02 | 0.10 | 0.03 | 0.39 | 0.14 | 167 |
Iraq_Hawler Medical University | 0.03 | 0.05 | 0.00 | 0.00 | 0.06 | 0.00 | 0.00 | 0.00 | 0.19 | 0.11 | 0.08 | 0.44 | 0.87 | 0.29 | 0.18 | 0.34 | 104 |
Russia_Ufa State Aviation Technical University | 0.04 | 0.06 | 0.24 | 0.09 | 0.04 | 0.24 | 0.08 | 0.31 | 0.03 | 0.09 | 0.43 | 0.03 | 0.10 | 0.01 | 0.01 | 0.22 | 146 |
Kazakhstan_L.N. Gumilyov Eurasian National University | 0.08 | 0.15 | 0.43 | 0.11 | 0.23 | 0.20 | 0.08 | 0.25 | 0.60 | 0.17 | 0.24 | 0.04 | 0.13 | 0.07 | 0.39 | 0.44 | 66 |
Japan_Tottori University | 0.23 | 0.38 | 0.09 | 0.33 | 0.79 | 0.16 | 0.40 | 0.10 | 0.31 | 0.11 | 0.21 | 0.25 | 0.58 | 0.18 | 0.15 | 0.62 | 15 |
Canada_University of Quebec at Chicoutimi | 0.00 | 0.00 | 0.19 | 0.24 | 0.00 | 0.37 | 0.22 | 0.25 | 0.00 | 0.84 | 0.38 | 0.43 | 0.78 | 0.67 | 0.66 | 0.58 | 24 |
Russia_Tver State Technical University | 0.19 | 0.28 | 0.09 | 0.10 | 0.14 | 0.06 | 0.10 | 0.00 | 0.00 | 0.67 | 0.08 | 0.06 | 0.15 | 0.11 | 0.27 | 0.35 | 98 |
Russia_Bashkirian State Medical University | 0.06 | 0.98 | 0.00 | 0.07 | 0.08 | 0.10 | 0.07 | 0.00 | 0.07 | 0.44 | 0.08 | 0.13 | 0.31 | 0.06 | 0.05 | 0.29 | 126 |
Russia_Kursk State Medical University | 0.35 | 0.79 | 0.00 | 0.06 | 0.55 | 0.11 | 0.05 | 0.00 | 0.04 | 0.96 | 0.08 | 0.06 | 0.14 | 0.06 | 0.09 | 0.44 | 68 |
Ukraine_National University of Ostroh Academy | 0.20 | 0.37 | 0.13 | 0.01 | 0.14 | 0.09 | 0.02 | 0.51 | 0.57 | 0.06 | 0.43 | 0.03 | 0.05 | 0.02 | 0.03 | 0.37 | 90 |
Ukraine_National Technical University Kharkiv Polytechnic Institute | 0.12 | 0.20 | 0.19 | 0.08 | 0.34 | 0.08 | 0.08 | 0.35 | 0.08 | 0.47 | 0.21 | 0.02 | 0.05 | 0.04 | 0.21 | 0.37 | 88 |
Russia_Siberian State Medical University | 0.08 | 0.14 | 0.00 | 0.12 | 0.22 | 0.15 | 0.12 | 0.00 | 0.10 | 0.76 | 0.08 | 0.14 | 0.31 | 0.10 | 0.11 | 0.34 | 105 |
Russia_Gubkin Russian State University of Oil and Gas | 0.07 | 0.15 | 0.13 | 0.11 | 0.07 | 0.05 | 0.13 | 0.54 | 0.06 | 0.36 | 0.53 | 0.24 | 0.51 | 0.41 | 0.59 | 0.54 | 33 |
Ukraine_National Taras Shevchenko University of Kyiv | 0.26 | 0.45 | 0.63 | 0.18 | 0.78 | 0.12 | 0.17 | 0.57 | 0.10 | 0.17 | 0.43 | 0.05 | 0.12 | 0.07 | 0.19 | 0.62 | 14 |
Argentina_Austral University (Argentina) | 0.05 | 0.14 | 0.19 | 0.14 | 0.73 | 0.31 | 0.11 | 0.35 | 0.32 | 0.38 | 0.48 | 0.14 | 0.29 | 0.05 | 0.04 | 0.38 | 85 |
Russia_Perm National Research Polytechnic University | 0.13 | 0.20 | 0.09 | 0.09 | 0.13 | 0.03 | 0.13 | 0.10 | 0.06 | 0.39 | 0.08 | 0.15 | 0.30 | 0.59 | 0.94 | 0.36 | 94 |
Russia_Kazan National Research Technical University named after A.N. Tupolev | 0.17 | 0.27 | 0.19 | 0.09 | 0.15 | 0.06 | 0.12 | 0.10 | 0.27 | 0.48 | 0.18 | 0.20 | 0.42 | 0.47 | 0.74 | 0.46 | 59 |
China_Jiangsu University | 0.10 | 0.20 | 0.00 | 0.28 | 0.45 | 0.51 | 0.24 | 0.00 | 0.78 | 0.23 | 0.08 | 0.15 | 0.26 | 0.34 | 0.86 | 0.36 | 96 |
India_Jamia Millia Islamia | 0.67 | 0.79 | 0.13 | 0.17 | 0.35 | 0.31 | 0.14 | 0.10 | 0.25 | 0.15 | 0.18 | 0.20 | 0.40 | 0.09 | 0.23 | 0.56 | 29 |
Pakistan_Institute of Space Technology | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.00 | 0.01 | 0.00 | 0.00 | 0.00 | 0.08 | 0.18 | 0.35 | 0.13 | 0.17 | 0.15 | 162 |
Tunisia_University of Monastir | 0.35 | 0.52 | 0.29 | 0.20 | 0.10 | 0.14 | 0.23 | 0.10 | 0.05 | 0.11 | 0.43 | 0.01 | 0.01 | 0.02 | 0.11 | 0.24 | 141 |
Russia_Magnitogorsk State Technical University | 0.04 | 0.05 | 0.00 | 0.05 | 0.04 | 0.03 | 0.06 | 0.00 | 0.00 | 0.19 | 0.08 | 0.06 | 0.12 | 0.16 | 0.47 | 0.23 | 144 |
Iraq_University of AL-Qadisiyah | 0.14 | 0.15 | 0.00 | 0.08 | 0.11 | 0.51 | 0.05 | 0.15 | 0.16 | 0.03 | 0.08 | 0.01 | 0.01 | 0.03 | 0.46 | 0.26 | 130 |
Tunisia_Universite de Tunis El Manar | 0.62 | 0.84 | 0.19 | 0.22 | 0.08 | 0.16 | 0.24 | 0.20 | 0.32 | 0.10 | 0.53 | 0.02 | 0.04 | 0.19 | 0.88 | 0.51 | 44 |
Russia_The New Economic School | 0.00 | 0.00 | 0.13 | 0.22 | 0.00 | 0.20 | 0.29 | 0.10 | 0.89 | 0.10 | 0.08 | 0.73 | 0.85 | 0.34 | 0.16 | 0.51 | 43 |
Ukraine_Kharkiv National University of Radio Electronics | 0.14 | 0.17 | 0.13 | 0.07 | 0.13 | 0.21 | 0.05 | 0.31 | 0.04 | 0.47 | 0.08 | 0.03 | 0.05 | 0.04 | 0.10 | 0.30 | 124 |
Spain_University of Valladolid | 0.17 | 0.99 | 0.09 | 0.26 | 0.12 | 0.25 | 0.24 | 0.15 | 0.29 | 0.28 | 0.48 | 0.15 | 0.24 | 0.12 | 0.19 | 0.43 | 69 |
Russia_Altai State University | 0.12 | 0.29 | 0.09 | 0.12 | 0.60 | 0.18 | 0.12 | 0.10 | 0.36 | 0.61 | 0.08 | 0.08 | 0.14 | 0.19 | 0.47 | 0.57 | 27 |
Russia_Far Eastern Federal University | 0.16 | 0.25 | 0.13 | 0.17 | 0.11 | 0.11 | 0.20 | 0.31 | 0.62 | 0.74 | 0.21 | 0.37 | 0.60 | 0.30 | 0.24 | 0.60 | 21 |
Ukraine_Poltava National Technical Yuri Kondratyuk University | 0.00 | 0.00 | 0.09 | 0.03 | 0.00 | 0.04 | 0.04 | 0.10 | 0.00 | 0.30 | 0.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 186 |
Iraq_University of Baghdad | 0.29 | 0.44 | 0.33 | 0.07 | 0.65 | 0.20 | 0.05 | 0.31 | 0.17 | 0.03 | 0.18 | 0.13 | 0.19 | 0.05 | 0.08 | 0.48 | 53 |
Romania_Grigore T. Popa University of Medicine and Pharmacy | 0.14 | 0.21 | 0.13 | 0.31 | 0.23 | 0.20 | 0.38 | 0.00 | 0.03 | 0.85 | 0.08 | 0.11 | 0.18 | 0.04 | 0.04 | 0.37 | 91 |
Russia_Perm State University | 0.07 | 0.09 | 0.19 | 0.12 | 0.16 | 0.04 | 0.15 | 0.15 | 0.12 | 0.10 | 0.08 | 0.08 | 0.14 | 0.16 | 0.40 | 0.23 | 142 |
Iraq_Mustansiriyah University | 0.16 | 0.22 | 0.13 | 0.05 | 0.70 | 0.17 | 0.03 | 0.15 | 0.05 | 0.02 | 0.08 | 0.12 | 0.18 | 0.01 | 0.01 | 0.25 | 134 |
Russia_Kazan National Research Technological University | 0.15 | 0.29 | 0.09 | 0.11 | 0.38 | 0.05 | 0.13 | 0.00 | 0.08 | 0.51 | 0.08 | 0.12 | 0.18 | 0.31 | 0.66 | 0.36 | 92 |
Russia_Russian New University | 0.12 | 0.24 | 0.09 | 0.03 | 0.15 | 0.04 | 0.03 | 0.10 | 0.16 | 0.48 | 0.08 | 0.06 | 0.10 | 0.09 | 0.22 | 0.19 | 152 |
Russia_Moscow Pedagogical State University | 0.12 | 0.18 | 0.24 | 0.09 | 0.26 | 0.07 | 0.09 | 0.10 | 0.11 | 0.49 | 0.21 | 0.10 | 0.16 | 0.08 | 0.11 | 0.37 | 89 |
Tunisia_Universite de Carthage | 0.33 | 0.57 | 0.00 | 0.16 | 0.83 | 0.17 | 0.17 | 0.10 | 0.13 | 0.05 | 0.08 | 0.01 | 0.01 | 0.02 | 0.09 | 0.35 | 97 |
Russia_Voronezh State University | 0.21 | 0.27 | 0.19 | 0.13 | 0.19 | 0.07 | 0.16 | 0.31 | 0.23 | 0.48 | 0.43 | 0.07 | 0.12 | 0.12 | 0.31 | 0.39 | 79 |
Republic of Korea_Kookmin University | 0.18 | 0.22 | 0.09 | 0.22 | 0.21 | 0.26 | 0.18 | 0.15 | 0.38 | 0.47 | 0.21 | 0.17 | 0.28 | 0.32 | 0.59 | 0.64 | 12 |
Russia_Russian State University for the Humanities | 0.11 | 0.08 | 0.49 | 0.05 | 0.05 | 0.06 | 0.09 | 0.47 | 0.24 | 0.31 | 0.48 | 0.00 | 0.00 | 0.01 | 0.10 | 0.34 | 101 |
Ukraine_Kyiv National Economic University | 0.11 | 0.15 | 0.36 | 0.00 | 0.20 | 0.00 | 0.01 | 0.54 | 0.04 | 0.05 | 0.43 | 0.02 | 0.03 | 0.01 | 0.02 | 0.23 | 143 |
Russia_Saratov State University | 0.20 | 0.33 | 0.24 | 0.21 | 0.22 | 0.15 | 0.22 | 0.25 | 0.08 | 0.31 | 0.18 | 0.16 | 0.23 | 0.44 | 0.82 | 0.60 | 20 |
Russia_Northeast Federal University | 0.69 | 0.81 | 0.09 | 0.13 | 0.66 | 0.28 | 0.11 | 0.00 | 0.55 | 0.22 | 0.08 | 0.20 | 0.32 | 0.20 | 0.22 | 0.73 | 2 |
Colombia_Universidad Pontificia Bolivariana de Medellin-Colombia | 0.05 | 0.12 | 0.24 | 0.13 | 0.15 | 0.30 | 0.10 | 0.60 | 0.16 | 0.09 | 0.60 | 0.25 | 0.41 | 0.20 | 0.18 | 0.40 | 76 |
Russia_National Research University of Electronic Technology (MIET) | 0.19 | 0.24 | 0.29 | 0.12 | 0.12 | 0.04 | 0.17 | 0.31 | 0.23 | 0.24 | 0.56 | 0.41 | 0.60 | 0.79 | 0.91 | 0.70 | 7 |
Russia_Novosibirsk State Technical University | 0.10 | 0.14 | 0.43 | 0.15 | 0.07 | 0.10 | 0.16 | 0.47 | 0.17 | 0.75 | 0.43 | 0.10 | 0.14 | 0.21 | 0.49 | 0.51 | 41 |
Russia_Ryazan State Medical University | 0.13 | 0.31 | 0.09 | 0.03 | 0.95 | 0.04 | 0.04 | 0.00 | 0.13 | 0.65 | 0.08 | 0.09 | 0.13 | 0.07 | 0.09 | 0.25 | 137 |
Russia_Moscow State University of Design and Technology (MSUDT) | 0.09 | 0.11 | 0.09 | 0.04 | 0.26 | 0.01 | 0.10 | 0.00 | 0.13 | 0.40 | 0.21 | 0.07 | 0.11 | 0.07 | 0.10 | 0.20 | 149 |
Russia_Financial University under the Government of the Russian Federation | 0.15 | 0.19 | 0.90 | 0.05 | 0.09 | 0.18 | 0.09 | 0.91 | 0.08 | 0.40 | 0.93 | 0.23 | 0.36 | 0.15 | 0.13 | 0.70 | 6 |
Russia_Mordovia State University | 0.12 | 0.15 | 0.29 | 0.09 | 0.13 | 0.08 | 0.09 | 0.51 | 0.09 | 0.52 | 0.43 | 0.10 | 0.14 | 0.14 | 0.28 | 0.35 | 99 |
Russia_Bashkir State University | 0.19 | 0.26 | 0.13 | 0.15 | 0.42 | 0.08 | 0.16 | 0.10 | 0.03 | 0.20 | 0.08 | 0.07 | 0.11 | 0.16 | 0.43 | 0.40 | 77 |
Russia_Volgograd State University | 0.18 | 0.20 | 0.00 | 0.10 | 0.39 | 0.03 | 0.12 | 0.00 | 0.14 | 0.19 | 0.08 | 0.07 | 0.11 | 0.09 | 0.19 | 0.28 | 128 |
Russia_Irkutsk State University | 0.08 | 0.09 | 0.24 | 0.13 | 0.09 | 0.15 | 0.13 | 0.15 | 0.15 | 0.24 | 0.08 | 0.06 | 0.10 | 0.10 | 0.27 | 0.26 | 133 |
Russia_Plekhanov Russian University of Economics | 0.32 | 0.26 | 0.19 | 0.06 | 0.47 | 0.07 | 0.07 | 0.25 | 0.44 | 0.43 | 0.26 | 0.24 | 0.35 | 0.11 | 0.08 | 0.52 | 36 |
Iraq_Jabir Ibn Hayyan Medical University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.99 | 0.98 | 0.99 | 0.62 | 0.45 | 65 |
Poland_Lodz University of Technology | 0.13 | 0.20 | 0.13 | 0.26 | 0.17 | 0.16 | 0.32 | 0.15 | 0.15 | 0.22 | 0.08 | 0.19 | 0.27 | 0.25 | 0.34 | 0.33 | 111 |
Russia_Orel State University | 0.18 | 0.24 | 0.70 | 0.03 | 0.41 | 0.04 | 0.03 | 0.74 | 0.00 | 0.20 | 0.70 | 0.05 | 0.06 | 0.20 | 0.71 | 0.61 | 19 |
Russia_Don State Technical University | 0.23 | 0.17 | 0.00 | 0.06 | 0.52 | 0.08 | 0.06 | 0.10 | 0.08 | 0.48 | 0.18 | 0.08 | 0.12 | 0.09 | 0.15 | 0.42 | 71 |
Russia_Northern (Arctic) Federal University (NArFU) | 0.23 | 0.21 | 0.00 | 0.07 | 0.62 | 0.05 | 0.09 | 0.00 | 0.20 | 0.23 | 0.08 | 0.12 | 0.15 | 0.18 | 0.35 | 0.25 | 135 |
Azerbaijan_Baku State University | 0.15 | 0.17 | 0.13 | 0.10 | 0.22 | 0.09 | 0.10 | 0.31 | 0.23 | 0.13 | 0.43 | 0.02 | 0.03 | 0.07 | 0.62 | 0.36 | 95 |
Thailand_Thammasat University | 0.10 | 0.10 | 0.29 | 0.16 | 0.92 | 0.21 | 0.15 | 0.25 | 0.57 | 0.09 | 0.21 | 0.58 | 0.70 | 0.45 | 0.30 | 0.65 | 11 |
Iraq_Al-Noor University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.06 | 0.08 | 0.12 | 0.30 | 0.06 | 187 |
Kazakhstan_EA Buketov Karaganda State University | 0.05 | 0.05 | 0.00 | 0.04 | 0.07 | 0.04 | 0.08 | 0.00 | 0.06 | 0.09 | 0.08 | 0.04 | 0.06 | 0.06 | 0.15 | 0.10 | 178 |
Russia_Samara University | 0.09 | 0.12 | 0.19 | 0.16 | 0.09 | 0.07 | 0.16 | 0.25 | 0.05 | 0.14 | 0.35 | 0.10 | 0.13 | 0.21 | 0.53 | 0.34 | 103 |
Iraq_Al-Kitab University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.04 | 0.05 | 0.01 | 0.01 | 0.02 | 192 |
China_Hangzhou Dianzi University | 0.00 | 0.00 | 0.13 | 0.29 | 0.00 | 0.52 | 0.27 | 0.15 | 0.29 | 0.04 | 0.30 | 0.19 | 0.24 | 0.30 | 0.45 | 0.45 | 62 |
Ukraine_Ostrogradskiy National University of Kremenchuk | 0.04 | 0.04 | 0.49 | 0.02 | 0.03 | 0.02 | 0.03 | 0.54 | 0.21 | 0.03 | 0.48 | 0.03 | 0.04 | 0.03 | 0.06 | 0.33 | 110 |
Tunisia_Universite de la Manouba | 0.24 | 0.35 | 0.00 | 0.17 | 0.04 | 0.16 | 0.17 | 0.00 | 0.14 | 0.07 | 0.08 | 0.05 | 0.07 | 0.03 | 0.03 | 0.15 | 163 |
Ukraine_South Ukrainian National Pedagogical University named after K.D. Ushynsky | 0.33 | 0.32 | 0.13 | 0.05 | 0.09 | 0.07 | 0.06 | 0.25 | 0.18 | 0.28 | 0.24 | 0.03 | 0.03 | 0.04 | 0.12 | 0.33 | 109 |
Russia_Tyumen State University | 0.13 | 0.16 | 0.09 | 0.13 | 0.12 | 0.23 | 0.14 | 0.10 | 0.26 | 0.33 | 0.08 | 0.18 | 0.22 | 0.32 | 0.52 | 0.48 | 56 |
Russia_Belgorod National Research University | 0.30 | 0.25 | 0.19 | 0.15 | 0.15 | 0.32 | 0.14 | 0.15 | 0.21 | 0.72 | 0.08 | 0.14 | 0.16 | 0.35 | 0.73 | 0.56 | 30 |
India_Amity University | 0.07 | 0.08 | 0.55 | 0.15 | 0.04 | 0.21 | 0.14 | 0.60 | 0.11 | 0.26 | 0.66 | 0.22 | 0.28 | 0.06 | 0.05 | 0.44 | 67 |
Iraq_University of Kufa | 0.11 | 0.11 | 0.43 | 0.08 | 0.06 | 0.12 | 0.06 | 0.54 | 0.06 | 0.00 | 0.53 | 0.24 | 0.31 | 0.15 | 0.13 | 0.36 | 93 |
United Arab Emirates_American University of Sharjah | 0.00 | 0.00 | 0.33 | 0.28 | 0.00 | 0.25 | 0.31 | 0.20 | 1.00 | 1.00 | 0.18 | 0.86 | 0.86 | 0.10 | 0.02 | 0.52 | 40 |
Taiwan_Tunghai University | 0.06 | 0.06 | 0.00 | 0.19 | 0.15 | 0.14 | 0.19 | 0.00 | 0.41 | 0.36 | 0.08 | 0.15 | 0.17 | 0.22 | 0.37 | 0.26 | 131 |
Russia_Voronezh State Technical University | 0.06 | 0.07 | 0.13 | 0.05 | 0.09 | 0.04 | 0.06 | 0.15 | 0.04 | 0.18 | 1.00 | 0.00 | 0.00 | 0.01 | 0.30 | 0.34 | 102 |
Russia_Immanuel Kant Baltic Federal University | 0.22 | 0.27 | 0.19 | 0.14 | 0.09 | 0.11 | 0.15 | 0.20 | 0.17 | 0.27 | 0.08 | 0.15 | 0.17 | 0.15 | 0.26 | 0.31 | 120 |
Poland_University of Lodz | 0.18 | 0.26 | 0.09 | 0.22 | 0.34 | 0.20 | 0.23 | 0.15 | 0.19 | 0.26 | 0.21 | 0.08 | 0.10 | 0.14 | 0.32 | 0.37 | 87 |
Iraq_University of Ahl al-Bayt | 0.00 | 0.00 | 0.00 | 0.18 | 0.00 | 0.13 | 0.16 | 0.00 | 0.00 | 0.00 | 0.08 | 0.09 | 0.11 | 0.15 | 0.58 | 0.18 | 155 |
Russia_Samara State Technical University | 0.11 | 0.14 | 0.13 | 0.11 | 0.15 | 0.06 | 0.12 | 0.15 | 0.05 | 0.12 | 0.24 | 0.13 | 0.14 | 0.26 | 0.58 | 0.26 | 132 |
China_Wuhan University of Science & Technology | 0.09 | 0.09 | 0.09 | 0.20 | 0.27 | 0.34 | 0.20 | 0.10 | 0.25 | 0.07 | 0.21 | 0.14 | 0.15 | 0.28 | 0.55 | 0.45 | 63 |
Iraq_University of Babylon | 0.19 | 0.16 | 0.09 | 0.08 | 0.20 | 0.37 | 0.05 | 0.10 | 0.03 | 0.02 | 0.08 | 0.16 | 0.17 | 0.08 | 0.17 | 0.24 | 138 |
Iraq_University of Tikrit | 0.27 | 0.31 | 0.00 | 0.11 | 0.22 | 0.27 | 0.05 | 0.00 | 0.00 | 0.02 | 0.08 | 0.01 | 0.01 | 0.00 | 0.00 | 0.12 | 171 |
Puerto Rico_University of Puerto Rico | 0.15 | 0.22 | 0.49 | 0.29 | 0.78 | 0.73 | 0.21 | 0.44 | 0.16 | 0.05 | 0.30 | 0.13 | 0.13 | 0.17 | 0.32 | 0.68 | 9 |
Iraq_University of Anbar | 0.18 | 0.22 | 0.00 | 0.09 | 0.80 | 0.29 | 0.07 | 0.00 | 0.05 | 0.00 | 0.08 | 0.15 | 0.16 | 0.12 | 0.14 | 0.39 | 80 |
Iraq_Al-Maarif University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.07 | 0.08 | 0.10 | 0.22 | 0.08 | 183 |
Russia_Ufa State Petroleum Technological University (USPTU) | 0.04 | 0.04 | 0.13 | 0.05 | 0.05 | 0.02 | 0.09 | 0.10 | 0.12 | 0.33 | 0.08 | 0.09 | 0.10 | 0.19 | 0.44 | 0.28 | 129 |
Russia_Southwest State University | 0.29 | 0.29 | 0.00 | 0.08 | 0.39 | 0.09 | 0.08 | 0.10 | 0.10 | 0.28 | 0.08 | 0.06 | 0.07 | 0.25 | 0.74 | 0.50 | 48 |
Poland_Gdansk University of Technology | 0.25 | 0.22 | 0.19 | 0.29 | 0.64 | 0.26 | 0.32 | 0.15 | 0.15 | 0.21 | 0.08 | 0.24 | 0.28 | 0.33 | 0.41 | 0.42 | 73 |
Russia_Tver State University | 0.03 | 0.27 | 0.09 | 0.11 | 0.73 | 0.05 | 0.13 | 0.10 | 0.06 | 0.16 | 0.08 | 0.06 | 0.07 | 0.67 | 1.00 | 0.32 | 117 |
Russia_Tomsk State University of Control Systems and Radioelectronics (TUSUR University) | 0.21 | 0.26 | 0.19 | 0.15 | 0.17 | 0.27 | 0.15 | 0.31 | 0.23 | 0.77 | 0.28 | 0.22 | 0.24 | 0.58 | 0.89 | 0.57 | 26 |
Russia_Volgograd State Technical University | 0.09 | 0.10 | 0.00 | 0.09 | 0.16 | 0.02 | 0.11 | 0.00 | 0.03 | 0.36 | 0.08 | 0.10 | 0.11 | 0.25 | 0.58 | 0.17 | 157 |
Slovenia_University of Maribor | 0.19 | 0.25 | 0.19 | 0.35 | 0.15 | 0.38 | 0.39 | 0.15 | 0.17 | 0.28 | 0.08 | 0.18 | 0.18 | 0.29 | 0.50 | 0.52 | 38 |
Iraq_University of Misan | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.09 | 0.05 | 0.00 | 0.00 | 0.00 | 0.08 | 0.17 | 0.18 | 0.05 | 0.03 | 0.11 | 176 |
Spain_ESIC Business and Marketing School | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.10 | 0.04 | 0.00 | 0.73 | 0.58 | 0.08 | 0.28 | 0.33 | 0.06 | 0.04 | 0.29 | 125 |
China_Yanshan University | 0.20 | 0.23 | 0.00 | 0.24 | 0.58 | 0.33 | 0.24 | 0.00 | 0.24 | 0.06 | 0.08 | 0.23 | 0.24 | 0.45 | 0.76 | 0.59 | 22 |
Iraq_Iraq University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.57 | 0.00 | 0.08 | 0.08 | 0.09 | 0.04 | 0.05 | 0.16 | 159 |
Azerbaijan_Azerbaijan University of Architecture and Construction | 0.17 | 0.15 | 0.00 | 0.02 | 0.73 | 0.03 | 0.03 | 0.10 | 0.24 | 0.43 | 0.08 | 0.05 | 0.06 | 0.03 | 0.03 | 0.34 | 107 |
Iraq_Uruk University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.08 | 0.01 | 0.01 | 0.02 | 0.30 | 0.12 | 175 |
Croatia_University of Rijeka | 0.15 | 0.25 | 0.00 | 0.20 | 0.12 | 0.26 | 0.19 | 0.15 | 0.07 | 0.04 | 0.08 | 0.12 | 0.12 | 0.08 | 0.18 | 0.28 | 127 |
Thailand_Prince of Songkla University | 0.16 | 0.13 | 0.40 | 0.21 | 0.81 | 0.20 | 0.20 | 0.47 | 0.33 | 0.12 | 0.43 | 0.42 | 0.45 | 0.18 | 0.08 | 0.51 | 46 |
Russia_Omsk State Technical University | 0.17 | 0.19 | 0.09 | 0.07 | 0.75 | 0.06 | 0.09 | 0.00 | 0.04 | 0.74 | 0.18 | 0.07 | 0.07 | 0.16 | 0.41 | 0.56 | 28 |
Turkey_Ege University | 0.19 | 0.30 | 0.00 | 0.26 | 0.30 | 0.16 | 0.23 | 0.00 | 0.22 | 0.18 | 0.08 | 0.40 | 0.43 | 0.28 | 0.33 | 0.50 | 47 |
Iraq_Islamic University in Najaf | 0.03 | 0.03 | 0.00 | 0.02 | 0.04 | 0.00 | 0.01 | 0.00 | 0.00 | 0.00 | 0.08 | 0.21 | 0.20 | 0.04 | 0.02 | 0.09 | 181 |
Iraq_University of Diyala | 0.14 | 0.14 | 0.00 | 0.06 | 0.42 | 0.30 | 0.04 | 0.00 | 0.00 | 0.00 | 0.08 | 0.02 | 0.02 | 0.03 | 0.17 | 0.19 | 153 |
China_China Medical University (Taiwan) | 0.22 | 0.21 | 0.19 | 0.86 | 0.14 | 0.30 | 0.97 | 0.20 | 0.23 | 0.41 | 0.21 | 0.99 | 0.97 | 0.79 | 0.14 | 1.00 | 1 |
Turkey_Atilim University | 0.08 | 0.09 | 0.13 | 0.19 | 0.38 | 0.32 | 0.21 | 0.10 | 0.29 | 0.25 | 0.28 | 0.21 | 0.19 | 0.16 | 0.18 | 0.30 | 123 |
Iraq_Al-Mustaqbal University College | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.23 | 0.05 | 0.00 | 0.22 | 0.00 | 0.08 | 0.16 | 0.15 | 0.20 | 0.30 | 0.21 | 148 |
Romania_George Emil Palade University of Medicine, Pharmacy, Science, and Technology of Targu Mures |
0.17 | 0.21 | 0.00 | 0.17 | 0.27 | 0.12 | 0.16 | 0.00 | 0.11 | 0.35 | 0.08 | 0.14 | 0.13 | 0.04 | 0.06 | 0.25 | 136 |
Turkey_TOBB University of Economics and Technology | 0.07 | 0.10 | 0.09 | 0.59 | 0.05 | 0.92 | 0.40 | 0.10 | 0.18 | 0.05 | 0.21 | 0.24 | 0.22 | 0.17 | 0.15 | 0.39 | 82 |
Taiwan_National Taipei University | 0.15 | 0.12 | 0.29 | 0.19 | 0.28 | 0.22 | 0.23 | 0.31 | 0.17 | 0.22 | 0.48 | 0.23 | 0.21 | 0.25 | 0.29 | 0.53 | 35 |
Russia_Moscow State Institute of Radio Engineering, Electrical & Automation | 0.07 | 0.07 | 0.74 | 0.14 | 0.05 | 0.06 | 0.17 | 0.73 | 0.07 | 0.16 | 0.70 | 0.21 | 0.18 | 0.44 | 0.73 | 0.73 | 3 |
Russia_South Ural State University | 0.09 | 0.09 | 0.19 | 0.11 | 0.08 | 0.11 | 0.11 | 0.15 | 0.11 | 0.30 | 0.18 | 0.11 | 0.09 | 0.23 | 0.54 | 0.33 | 108 |
Iraq_University of Thi-Qar | 0.09 | 0.10 | 0.00 | 0.10 | 0.12 | 0.24 | 0.06 | 0.00 | 0.00 | 0.00 | 0.08 | 0.12 | 0.10 | 0.12 | 0.33 | 0.24 | 140 |
Iraq_University College in Baghdad Iraq | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.10 | 0.09 | 0.07 | 0.12 | 0.07 | 185 |
Russia_Tomsk State University of Architecture and Building | 0.07 | 0.08 | 0.00 | 0.08 | 0.89 | 0.04 | 0.11 | 0.15 | 0.10 | 0.65 | 0.08 | 0.00 | 0.00 | 0.00 | 0.38 | 0.46 | 60 |
Iraq_Al-Nisour University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.08 | 0.03 | 0.03 | 0.07 | 0.43 | 0.13 | 170 |
Egypt_Ain Shams University | 0.30 | 0.30 | 0.43 | 0.15 | 0.06 | 0.37 | 0.11 | 0.10 | 0.43 | 0.16 | 0.60 | 0.10 | 0.08 | 0.05 | 0.10 | 0.49 | 50 |
Russia_Voronezh Institute of High Technologies | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.08 | 0.05 | 0.04 | 0.17 | 0.54 | 0.08 | 182 |
India_Vellore Institute of Technology | 0.39 | 0.44 | 0.19 | 0.25 | 0.10 | 0.25 | 0.00 | 0.15 | 0.56 | 0.15 | 0.08 | 0.35 | 0.34 | 0.14 | 0.11 | 0.52 | 39 |
Romania_West University of Timisoara | 0.29 | 0.17 | 0.19 | 0.40 | 0.17 | 0.87 | 0.26 | 0.15 | 0.09 | 0.24 | 0.08 | 0.11 | 0.08 | 0.10 | 0.14 | 0.51 | 45 |
Russia_Pacific National University | 0.09 | 0.07 | 0.00 | 0.04 | 0.18 | 0.03 | 0.07 | 0.00 | 0.09 | 0.30 | 0.08 | 0.09 | 0.07 | 0.14 | 0.25 | 0.12 | 172 |
Pakistan_NED University of Engineering and Technology | 0.04 | 0.03 | 0.00 | 0.15 | 0.08 | 0.23 | 0.12 | 0.00 | 0.04 | 0.03 | 0.08 | 0.09 | 0.07 | 0.10 | 0.17 | 0.15 | 165 |
Russia_North Caucasus Federal University | 0.19 | 0.18 | 0.00 | 0.06 | 0.25 | 0.05 | 0.07 | 0.00 | 0.55 | 0.34 | 0.08 | 0.13 | 0.09 | 0.13 | 0.21 | 0.30 | 121 |
USA_Savannah College of Art and Design | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.01 | 0.08 | 0.00 | 0.52 | 0.85 | 0.08 | 0.68 | 0.61 | 0.82 | 0.70 | 0.52 | 37 |
Russia_Ulyanovsk State University | 0.10 | 0.11 | 0.00 | 0.13 | 0.04 | 0.08 | 0.15 | 0.00 | 0.06 | 0.44 | 0.08 | 0.11 | 0.08 | 0.20 | 0.47 | 0.32 | 114 |
Russia_Novosibirsk State University of Economics and Management | 0.06 | 0.05 | 0.00 | 0.02 | 0.08 | 0.06 | 0.04 | 0.00 | 0.05 | 0.17 | 0.08 | 0.00 | 0.00 | 0.00 | 0.08 | 0.10 | 180 |
North Macedonia_University of Sarajevo | 0.24 | 0.27 | 0.00 | 0.17 | 0.27 | 0.42 | 0.14 | 0.00 | 0.13 | 0.16 | 0.08 | 0.12 | 0.08 | 0.06 | 0.06 | 0.24 | 139 |
USA_California State University, Long Beach | 0.13 | 0.08 | 0.13 | 0.18 | 0.76 | 0.32 | 0.17 | 0.10 | 0.70 | 0.35 | 0.21 | 0.49 | 0.43 | 0.25 | 0.13 | 0.69 | 8 |
Russia_Reshetnev Siberian State University of Science and Technology | 0.10 | 0.11 | 0.36 | 0.10 | 0.28 | 0.07 | 0.10 | 0.47 | 0.10 | 0.15 | 0.56 | 0.13 | 0.08 | 0.14 | 0.23 | 0.42 | 72 |
UK_De Montfort University | 0.23 | 0.14 | 0.19 | 0.23 | 0.00 | 0.57 | 0.21 | 0.20 | 0.71 | 0.86 | 0.56 | 0.32 | 0.27 | 0.09 | 0.04 | 0.58 | 23 |
Iran_University of Isfahan | 0.58 | 0.62 | 0.49 | 0.41 | 0.13 | 0.16 | 0.54 | 0.10 | 0.09 | 0.09 | 0.08 | 0.35 | 0.31 | 0.10 | 0.05 | 0.61 | 18 |
Kazakhstan_Suleyman Demirel University - Kazakhstan | 0.00 | 0.00 | 0.00 | 0.61 | 0.00 | 0.17 | 0.92 | 0.00 | 0.56 | 0.24 | 0.08 | 0.02 | 0.02 | 0.04 | 0.16 | 0.39 | 81 |
Russia_Saint-Petersburg state University of Architecture and Construction | 0.06 | 0.07 | 0.09 | 0.07 | 0.06 | 0.23 | 0.06 | 0.10 | 0.08 | 0.37 | 0.08 | 0.16 | 0.11 | 0.11 | 0.11 | 0.19 | 151 |
Azerbaijan_Azerbaijan State University of Economics (UNEC) | 0.07 | 0.06 | 0.00 | 0.03 | 0.13 | 0.17 | 0.02 | 0.00 | 0.06 | 0.07 | 0.08 | 0.10 | 0.07 | 0.01 | 0.00 | 0.13 | 169 |
Russia_Siberian State University of Water Transport | 0.08 | 0.09 | 0.00 | 0.10 | 0.08 | 0.08 | 0.10 | 0.00 | 0.12 | 0.17 | 0.08 | 0.14 | 0.10 | 0.16 | 0.26 | 0.18 | 154 |
Taiwan_Tatung University | 0.21 | 0.16 | 0.00 | 0.31 | 0.73 | 0.14 | 0.36 | 0.00 | 0.12 | 0.15 | 0.08 | 0.26 | 0.19 | 0.31 | 0.35 | 0.32 | 116 |
Iraq_Middle Technical University | 0.02 | 0.03 | 0.13 | 0.05 | 0.03 | 0.44 | 0.03 | 0.00 | 0.03 | 0.00 | 0.08 | 0.01 | 0.01 | 0.03 | 0.14 | 0.10 | 179 |
China_Guizhou University | 0.05 | 0.05 | 0.00 | 0.20 | 0.09 | 0.30 | 0.19 | 0.00 | 0.14 | 0.04 | 0.08 | 0.27 | 0.19 | 0.29 | 0.37 | 0.32 | 115 |
China_Xiangtan University | 0.16 | 0.11 | 0.09 | 0.32 | 0.31 | 0.48 | 0.29 | 0.10 | 0.33 | 0.10 | 0.08 | 0.24 | 0.16 | 0.48 | 0.69 | 0.43 | 70 |
Russia_Rostov State University of Economics | 0.11 | 0.06 | 0.00 | 0.01 | 0.08 | 0.02 | 0.02 | 0.00 | 0.07 | 0.15 | 0.08 | 0.05 | 0.03 | 0.06 | 0.09 | 0.12 | 174 |
Ireland_Dublin Institute of Technology | 0.11 | 0.07 | 0.13 | 0.20 | 0.14 | 0.45 | 0.18 | 0.57 | 0.64 | 0.75 | 0.48 | 0.37 | 0.29 | 0.24 | 0.17 | 0.72 | 4 |
Iraq_Imam Ja`afar Al-Sadiq University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.18 | 0.03 | 0.18 | 0.07 | 0.04 | 0.08 | 0.14 | 0.11 | 177 |
Iraq_Al-Esraa University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.23 | 0.15 | 0.08 | 0.07 | 0.07 | 184 |
Mexico_Autonomous University of Mexico State | 0.11 | 0.13 | 0.24 | 0.12 | 0.67 | 0.11 | 0.12 | 0.25 | 0.18 | 0.05 | 0.35 | 0.27 | 0.18 | 0.17 | 0.19 | 0.46 | 61 |
Taiwan_Ming Chuan University | 0.04 | 0.03 | 0.00 | 0.16 | 0.50 | 0.12 | 0.18 | 0.10 | 0.40 | 0.55 | 0.18 | 0.25 | 0.16 | 0.23 | 0.21 | 0.40 | 75 |
North Macedonia_European University Skopje | 0.06 | 0.06 | 0.00 | 0.00 | 0.00 | 0.02 | 0.03 | 0.00 | 0.48 | 0.92 | 0.08 | 0.16 | 0.09 | 0.03 | 0.01 | 0.31 | 119 |
Turkey_Istanbul Medipol University | 0.03 | 0.05 | 0.00 | 0.16 | 0.03 | 0.10 | 0.19 | 0.00 | 0.20 | 0.13 | 0.08 | 0.51 | 0.39 | 0.24 | 0.11 | 0.30 | 122 |
Romania_University Politechica of Bucharest | 0.28 | 0.07 | 0.60 | 0.38 | 0.09 | 0.23 | 0.43 | 0.51 | 0.09 | 0.18 | 0.24 | 0.23 | 0.14 | 0.51 | 0.73 | 0.46 | 58 |
Kuwait_Kuwait University | 0.03 | 0.03 | 0.29 | 0.21 | 0.07 | 0.25 | 0.22 | 0.15 | 0.70 | 0.63 | 0.21 | 0.98 | 0.92 | 0.23 | 0.02 | 0.72 | 5 |
Russia_Kozma Minin Nizhny Novgorod State Pedagogical University | 0.13 | 0.10 | 0.00 | 0.04 | 0.46 | 0.02 | 0.07 | 0.00 | 0.05 | 0.21 | 0.08 | 0.07 | 0.04 | 0.14 | 0.33 | 0.17 | 158 |
Taiwan_National University of Kaohsiung | 0.00 | 0.00 | 0.00 | 0.43 | 0.00 | 0.12 | 0.56 | 0.00 | 0.37 | 0.18 | 0.08 | 0.32 | 0.20 | 0.52 | 0.59 | 0.34 | 106 |
Republic of Georgia_Ivane Javakhishvili Tbilisi State University | 0.23 | 0.16 | 0.33 | 0.32 | 0.06 | 0.99 | 0.19 | 0.54 | 0.60 | 0.14 | 0.48 | 0.08 | 0.05 | 0.16 | 0.73 | 0.63 | 13 |
Iraq_Dijlah University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.02 | 0.08 | 0.35 | 0.23 | 0.02 | 0.01 | 0.17 | 156 |
Iraq_University of Samarra | 0.05 | 0.00 | 0.00 | 0.02 | 0.04 | 0.09 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.03 | 0.03 | 0.02 | 0.04 | 0.03 | 190 |
Chile_Pontificial Catholic University of Valparaiso | 0.24 | 0.20 | 0.24 | 0.24 | 0.58 | 0.20 | 0.29 | 0.20 | 0.52 | 0.07 | 0.28 | 0.34 | 0.22 | 0.33 | 0.43 | 0.66 | 10 |
Russia_Belgorod State Technological University | 0.00 | 0.00 | 0.19 | 0.03 | 0.00 | 0.02 | 0.04 | 0.15 | 0.30 | 0.50 | 0.08 | 0.20 | 0.12 | 0.33 | 0.81 | 0.51 | 42 |
Egypt_Beni-Suef University | 0.16 | 0.11 | 0.00 | 0.18 | 0.11 | 0.54 | 0.15 | 0.00 | 0.37 | 0.08 | 0.08 | 0.04 | 0.03 | 0.01 | 0.01 | 0.21 | 147 |
Jordan_Al-Ahliyya Amman University | 0.00 | 0.00 | 0.09 | 0.10 | 0.00 | 0.09 | 0.10 | 0.00 | 0.80 | 0.99 | 0.18 | 0.22 | 0.13 | 0.00 | 0.00 | 0.47 | 57 |
Jordan_University of Petra (UOP) | 0.00 | 0.00 | 0.00 | 0.14 | 0.00 | 0.13 | 0.12 | 0.00 | 0.62 | 0.87 | 0.08 | 0.09 | 0.04 | 0.14 | 0.30 | 0.48 | 55 |
Iran_Kashan University | 0.50 | 0.47 | 0.00 | 0.71 | 0.05 | 0.55 | 0.81 | 0.00 | 0.18 | 0.08 | 0.08 | 0.03 | 0.02 | 0.17 | 0.77 | 0.54 | 34 |
Taiwan_National Chiayi University | 0.12 | 0.08 | 0.00 | 0.23 | 0.24 | 0.10 | 0.28 | 0.00 | 0.11 | 0.21 | 0.08 | 0.34 | 0.20 | 0.53 | 0.67 | 0.49 | 52 |
Thailand_University of the Thai Chamber of Commerce | 0.04 | 0.04 | 0.00 | 0.05 | 0.04 | 0.06 | 0.05 | 0.00 | 0.43 | 0.20 | 0.08 | 0.16 | 0.07 | 0.15 | 0.20 | 0.22 | 145 |
Iran_Alzahra University | 0.43 | 0.36 | 0.09 | 0.32 | 0.29 | 0.33 | 0.33 | 0.00 | 0.14 | 0.06 | 0.08 | 0.36 | 0.20 | 0.08 | 0.03 | 0.45 | 64 |
Iraq_University of Kirkuk | 0.06 | 0.04 | 0.00 | 0.06 | 0.26 | 0.08 | 0.04 | 0.00 | 0.40 | 0.03 | 0.08 | 0.13 | 0.05 | 0.11 | 0.32 | 0.16 | 161 |
Egypt_Alexandria University | 0.35 | 0.30 | 0.40 | 0.14 | 0.21 | 0.20 | 0.14 | 0.20 | 0.15 | 0.17 | 0.35 | 0.14 | 0.06 | 0.50 | 0.96 | 0.54 | 32 |
Greece_University of Patras | 0.40 | 0.36 | 0.24 | 0.34 | 0.22 | 0.35 | 0.32 | 0.20 | 0.09 | 0.25 | 0.08 | 0.15 | 0.06 | 0.23 | 0.78 | 0.41 | 74 |
Iraq_Al-Farabi University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.29 | 0.15 | 0.17 | 0.11 | 0.13 | 168 |
Taiwan_I-Shou University | 0.10 | 0.06 | 0.00 | 0.39 | 0.11 | 0.14 | 0.55 | 0.00 | 0.48 | 0.62 | 0.08 | 0.42 | 0.23 | 0.51 | 0.46 | 0.62 | 16 |
Turkey_Gazi University | 0.48 | 0.42 | 0.60 | 0.22 | 0.16 | 0.16 | 0.24 | 0.51 | 0.02 | 0.14 | 0.48 | 0.31 | 0.15 | 0.21 | 0.26 | 0.48 | 54 |
Taiwan_National Formosa University | 0.03 | 0.03 | 0.00 | 0.26 | 0.06 | 0.12 | 0.36 | 0.00 | 0.12 | 0.08 | 0.08 | 0.39 | 0.18 | 0.49 | 0.49 | 0.39 | 78 |
Iraq_Southern Technical University | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.11 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.04 | 0.02 | 0.02 | 0.03 | 0.03 | 189 |
Iran_Allameh Tabataba’i University | 0.82 | 0.73 | 0.09 | 0.14 | 0.17 | 0.51 | 0.13 | 0.00 | 0.16 | 0.08 | 0.08 | 0.12 | 0.04 | 0.14 | 0.27 | 0.32 | 113 |
Iraq_Madenat Al-elem University College | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.08 | 0.02 | 0.00 | 0.31 | 0.00 | 0.08 | 0.04 | 0.02 | 0.05 | 0.21 | 0.16 | 160 |
Iraq_Baghdad College Of Economic Sciences University | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.03 | 0.04 | 0.00 | 0.00 | 0.00 | 0.08 | 0.17 | 0.06 | 0.01 | 0.00 | 0.05 | 188 |
Thailand_Mahasarakham University | 0.35 | 0.19 | 0.00 | 0.12 | 0.76 | 0.12 | 0.10 | 0.00 | 0.38 | 0.05 | 0.08 | 0.08 | 0.03 | 0.05 | 0.11 | 0.35 | 100 |
Iraq_University of Alkafeel | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.08 | 0.30 | 0.13 | 0.22 | 0.20 | 0.15 | 164 |
Taiwan_Soochow University (Taiwan) | 0.08 | 0.05 | 0.46 | 0.19 | 0.19 | 0.18 | 0.20 | 0.51 | 0.35 | 0.25 | 0.43 | 0.41 | 0.16 | 0.26 | 0.16 | 0.49 | 49 |
Egypt_Cairo University | 0.46 | 0.22 | 0.73 | 0.24 | 0.32 | 0.38 | 0.22 | 0.66 | 0.21 | 0.14 | 0.74 | 0.19 | 0.06 | 0.08 | 0.07 | 0.58 | 25 |
Vietnam_Can Tho University | 0.07 | 0.04 | 0.00 | 0.13 | 0.36 | 0.27 | 0.11 | 0.00 | 0.00 | 0.03 | 0.08 | 0.05 | 0.02 | 0.14 | 0.50 | 0.19 | 150 |
Egypt_Kafrelsheikh University | 0.22 | 0.13 | 0.00 | 0.15 | 0.07 | 0.62 | 0.13 | 0.00 | 0.22 | 0.09 | 0.08 | 0.10 | 0.03 | 0.11 | 0.27 | 0.31 | 118 |
Iraq_Al-Kunooze University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.08 | 0.01 | 0.01 | 0.02 | 0.06 | 0.02 | 191 |
Taiwan_Chaoyang University of Technology | 0.11 | 0.05 | 0.46 | 0.18 | 0.40 | 0.09 | 0.22 | 0.51 | 0.23 | 0.39 | 0.43 | 0.44 | 0.15 | 0.36 | 0.24 | 0.61 | 17 |
Israel_Interdisciplinary Center Herzliya (IDC Herzliya) | 0.00 | 0.00 | 0.00 | 0.20 | 0.00 | 0.34 | 0.21 | 0.00 | 0.09 | 0.83 | 0.08 | 0.65 | 0.21 | 0.13 | 0.13 | 0.38 | 86 |
Mexico_Universidad de Guadalajara | 0.24 | 0.12 | 0.24 | 0.17 | 0.29 | 0.12 | 0.15 | 0.25 | 0.21 | 0.04 | 0.28 | 0.71 | 0.22 | 0.27 | 0.15 | 0.38 | 84 |
The final step is to compare the results of the partial rankings to the corresponding part of the original rankings. The results of the Spearman’s rank correlation shows a strong positive relationship between the two rankings.
## [1] 0.7009281
##
## Spearman's rank correlation rho
##
## data: B$Rank and RANK_RUR[rownames(B), ]
## S = 352790, p-value < 2.2e-16
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
## rho
## 0.7009281
The next step is to identify the lower D9 league bicluster.
rmtx<-1-mtx
rres <- iBBiG(binaryMatrix=binarize(rmtx,threshold = 0.9),nModules = 1,alpha=0.33,pop_size = 100,mutation = 0.08,stagnation = 50,selection_pressure = 1.2,max_sp = 15,success_ratio = 0.8)
## Module: 1 ... done
##
## An object of class iBBiG
##
## There was one cluster found with Score 481.2552 and
## 81 Rows and 15 columns
The results of the iBBiG algorithm can be seen above. The algorithm found one bicluster in which there are 81 rows (HEIs) and 15 columns (indicators). The following step is to calculate the F-tests to determine whether the bicluster is significant.
In Table 16 the results of the row and column effects (F-tests) can be read. Both the row and column effects are significant, so the lower league bicluster is significant.
Obs.FStat <- NULL
for (i in c(1:rres@Number)){
Obs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=rres,number=i)
}
kable(Obs.FStat,caption = "**Table 16** The results of row and column effects for the lower (D9) league")
|
To see the differences between those HEIs that are included in the lower league and those that are not in the lower league, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 27). (The horizontal axis of Fig. 27 shows the HEIs, the vertical axis shows the mentioned parameters on normalized (0-1) data of indicators.) On Fig. 27 the red line indicates those HEIs that are included in the lower league, while the black line shows the remaining HEIs. The HEIs in the lower league have higher means and medians, and have lower variances.
Fig. 27 Mean, median, variance and MAD for the lower D9 league HEIs
One can do the same for the columns (indicators). Fig. 28 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. (The horizontal axis of Fig. 28 shows the indicators, the vertical axis shows the mentioned parameters on normalized (0-1) data of HEIs.) The red line indicates those indicators that are in the lower league, while the black line shows the remaining indicators.
Fig. 28 Mean, median, variance and MAD for the lower D9 league indicators
Fig. 29 depicts the heat map of the lower D9 league. The lower league contains 81 HEIs and 15 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 29 Heat map of the lower D9 league
Fig. 30 shows the heat map of the results of iBBiG on normalized data. The lower league can be seen in the upper left corner of Fig. 30 which is enlarged on Fig. 29.
Fig. 30 Heat map of the output after applying iBBiG on normalized data
The next step is to check the stability of the lower league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=rres,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 0.7032474 0.7464069
## [2,] 1.1874692 1.0833069
## [3,] 0.8849618 0.9558872
## [4,] 1.1390598 0.7483642
## [5,] 0.9812189 1.0706847
## [6,] 0.7151567 1.1188655
## [7,] 0.8737654 1.5269216
## [8,] 0.9616311 2.2901957
## [9,] 1.0554031 1.1162638
## [10,] 1.1174136 1.7363161
## [11,] 1.2204285 1.2322497
## [12,] 0.7546833 0.7127285
## [13,] 0.9420437 0.7355436
## [14,] 1.0408284 1.4258251
## [15,] 1.1176294 1.2254485
## [16,] 1.5159765 0.7929627
## [17,] 1.1549281 0.6711442
## [18,] 0.8368815 1.5087687
## [19,] 1.0970912 0.6770413
## [20,] 0.8662623 1.0151610
## [21,] 1.1106314 0.8364700
## [22,] 0.7564652 1.3454776
## [23,] 1.0738724 1.3636523
## [24,] 0.8364868 0.5630874
## [25,] 1.2273524 1.6566193
## [26,] 1.0694382 0.6877320
## [27,] 0.7991532 1.3702375
## [28,] 0.9204271 0.9744820
## [29,] 1.0855557 1.0545590
## [30,] 0.9615738 1.2290105
## [31,] 0.7983970 1.3352289
## [32,] 0.7979264 0.7640576
## [33,] 1.4096926 1.3180017
## [34,] 1.3312197 1.2498563
## [35,] 0.8285670 0.3425553
## [36,] 0.7258288 0.9466787
## [37,] 1.1291998 1.3380994
## [38,] 0.9931230 0.6299014
## [39,] 1.0836979 0.9023672
## [40,] 0.9751710 0.7098134
## [41,] 0.8414710 0.6206051
## [42,] 0.7787425 0.7709580
## [43,] 1.1578487 1.0093464
## [44,] 1.2147783 1.0960670
## [45,] 1.0439317 1.5618792
## [46,] 1.2000563 1.1553873
## [47,] 0.8655213 1.1963632
## [48,] 0.9309998 0.7841984
## [49,] 1.0712610 0.3409775
## [50,] 1.0171247 1.2205830
## [51,] 0.6977051 0.6843781
## [52,] 1.2985991 0.8755556
## [53,] 1.0327833 0.7896483
## [54,] 0.9375528 0.4902218
## [55,] 1.2420831 1.1480930
## [56,] 1.0442134 0.8502177
## [57,] 1.0175186 1.8331766
## [58,] 0.9727902 0.9186734
## [59,] 1.0722770 1.0930672
## [60,] 0.8434118 0.7770171
## [61,] 0.8870630 0.9770278
## [62,] 1.0303987 1.9930091
## [63,] 0.9338946 1.4133610
## [64,] 0.8381872 0.7610981
## [65,] 0.9971178 0.8937546
## [66,] 0.9792599 0.8961820
## [67,] 1.2702462 0.9478229
## [68,] 1.1592261 0.6726529
## [69,] 0.8843483 1.5123037
## [70,] 1.0968097 0.7226510
## [71,] 0.8320861 1.0110031
## [72,] 1.0275468 0.6279285
## [73,] 1.0010709 0.6602913
## [74,] 1.0475880 1.0352064
## [75,] 1.1850719 1.1956692
## [76,] 0.9133404 1.3378214
## [77,] 1.0721714 0.4954837
## [78,] 0.8772613 0.8900784
## [79,] 0.9526509 0.7110851
## [80,] 1.2595672 0.7744905
## [81,] 0.9348948 0.6941970
## [82,] 0.8298984 1.3320650
## [83,] 0.9858153 0.9661053
## [84,] 0.8401188 1.0039595
## [85,] 1.0141174 0.7402370
## [86,] 0.7496286 0.5602841
## [87,] 1.1157948 0.8734773
## [88,] 0.8841256 0.7489263
## [89,] 0.7809472 0.9862715
## [90,] 1.0101463 0.6222116
## [91,] 1.1428551 1.0981614
## [92,] 0.9451651 1.0693897
## [93,] 0.9178380 1.3227952
## [94,] 0.8974559 0.9428102
## [95,] 1.4441390 0.9888856
## [96,] 1.0394151 1.0526226
## [97,] 1.1644815 1.1183031
## [98,] 1.0550995 1.1196979
## [99,] 1.2410259 0.4506769
## [100,] 1.0127154 0.6185377
##
## $observedFstatRow
## [1] 1.86726
##
## $observedFstatCol
## [1] 8.904281
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0
The bicluster is stable.
The next step is to calculate partial rankings based on the indicators and HEIs in the top league. The calculation of each score of each indicator of the HEIs are done according to the method used in the original RUR ranking. The original weights of RUR’s indicators are used, and the total scores for the HEIs are calculated using the selected indicators in the given bicluster. Table 17 shows the result of partial ranking in the case of the lower league.
C<-biclust::bicluster(mtx,rres,number=1)
B<-as.data.frame(C[[1]])
selectedweight<-weights[,colnames(B)]
cols <- colnames(B)
sw<-weights[,cols]
BR<-rowSums(B[,cols]*sw)/max(rowSums(B[,cols]*sw))
B$Overall_Score<-BR
B$Rank<-rank(-B$Overall_Score)
kable(B,caption = "**Table 17** League C (D9) by iBBiG",digits = 2)
T3 | T4 | T5 | R1 | R2 | R3 | R4 | R5 | I1 | I2 | I4 | F1 | F2 | F3 | F4 | Overall_Score | Rank | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Belarus_National Institute of Higher Education | 0.12 | 0.00 | 0.19 | 0.00 | 0.05 | 0.00 | 0.00 | 0.15 | 0.00 | 0.00 | 0.26 | 0.94 | 1.00 | 0.00 | 0.98 | 0.56 | 11 |
Iraq_Al-Karkh University of Science | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.03 | 0.03 | 0.00 | 0.24 | 0.00 | 0.08 | 0.01 | 0.01 | 0.02 | 0.20 | 0.14 | 63 |
Iraq_University of Information Technology and Communications | 0.00 | 0.00 | 0.00 | 0.01 | 0.00 | 0.02 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.11 | 0.86 | 0.02 | 0.13 | 0.12 | 68 |
Iraq_Al-Qasim green university Iraq | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.14 | 0.07 | 0.00 | 0.00 | 0.00 | 0.08 | 0.09 | 0.63 | 0.13 | 0.09 | 0.32 | 40 |
Russia_Mechnikov St Petersburg State Medical Academy | 0.03 | 0.03 | 0.00 | 0.11 | 0.73 | 0.49 | 0.06 | 0.00 | 0.03 | 0.40 | 0.08 | 0.62 | 0.96 | 0.19 | 0.06 | 0.69 | 5 |
Kazakhstan_Shakarim University | 0.04 | 0.04 | 0.00 | 0.02 | 0.97 | 0.02 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.02 | 0.10 | 0.06 | 0.03 | 0.16 | 61 |
Iraq_Hawler Medical University | 0.03 | 0.05 | 0.00 | 0.00 | 0.06 | 0.00 | 0.00 | 0.00 | 0.19 | 0.11 | 0.08 | 0.44 | 0.87 | 0.00 | 0.29 | 0.47 | 17 |
Russia_Ufa State Aviation Technical University | 0.04 | 0.06 | 0.24 | 0.09 | 0.04 | 0.24 | 0.08 | 0.31 | 0.03 | 0.09 | 0.43 | 0.03 | 0.10 | 0.98 | 0.01 | 0.53 | 14 |
Russia_Tver State Technical University | 0.19 | 0.28 | 0.09 | 0.10 | 0.14 | 0.06 | 0.10 | 0.00 | 0.00 | 0.67 | 0.08 | 0.06 | 0.15 | 0.22 | 0.11 | 0.42 | 24 |
Russia_Bashkirian State Medical University | 0.06 | 0.98 | 0.00 | 0.07 | 0.08 | 0.10 | 0.07 | 0.00 | 0.07 | 0.44 | 0.08 | 0.13 | 0.31 | 0.32 | 0.06 | 0.65 | 7 |
Russia_Kursk State Medical University | 0.35 | 0.79 | 0.00 | 0.06 | 0.55 | 0.11 | 0.05 | 0.00 | 0.04 | 0.96 | 0.08 | 0.06 | 0.14 | 0.20 | 0.06 | 0.82 | 3 |
Pakistan_Institute of Space Technology | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 | 0.00 | 0.01 | 0.00 | 0.00 | 0.00 | 0.08 | 0.18 | 0.35 | 0.01 | 0.13 | 0.13 | 66 |
Russia_Magnitogorsk State Technical University | 0.04 | 0.05 | 0.00 | 0.05 | 0.04 | 0.03 | 0.06 | 0.00 | 0.00 | 0.19 | 0.08 | 0.06 | 0.12 | 0.05 | 0.16 | 0.21 | 55 |
Iraq_University of AL-Qadisiyah | 0.14 | 0.15 | 0.00 | 0.08 | 0.11 | 0.51 | 0.05 | 0.15 | 0.16 | 0.03 | 0.08 | 0.01 | 0.01 | 0.48 | 0.03 | 0.39 | 25 |
Ukraine_Poltava National Technical Yuri Kondratyuk University | 0.00 | 0.00 | 0.09 | 0.03 | 0.00 | 0.04 | 0.04 | 0.10 | 0.00 | 0.30 | 0.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 76 |
Russia_Russian New University | 0.12 | 0.24 | 0.09 | 0.03 | 0.15 | 0.04 | 0.03 | 0.10 | 0.16 | 0.48 | 0.08 | 0.06 | 0.10 | 0.03 | 0.09 | 0.31 | 43 |
Russia_Russian State University for the Humanities | 0.11 | 0.08 | 0.49 | 0.05 | 0.05 | 0.06 | 0.09 | 0.47 | 0.24 | 0.31 | 0.48 | 0.00 | 0.00 | 1.00 | 0.01 | 0.71 | 4 |
Ukraine_Kyiv National Economic University | 0.11 | 0.15 | 0.36 | 0.00 | 0.20 | 0.00 | 0.01 | 0.54 | 0.04 | 0.05 | 0.43 | 0.02 | 0.03 | 0.03 | 0.01 | 0.28 | 48 |
Russia_Ryazan State Medical University | 0.13 | 0.31 | 0.09 | 0.03 | 0.95 | 0.04 | 0.04 | 0.00 | 0.13 | 0.65 | 0.08 | 0.09 | 0.13 | 0.08 | 0.07 | 0.36 | 29 |
Russia_Moscow State University of Design and Technology (MSUDT) | 0.09 | 0.11 | 0.09 | 0.04 | 0.26 | 0.01 | 0.10 | 0.00 | 0.13 | 0.40 | 0.21 | 0.07 | 0.11 | 0.59 | 0.07 | 0.44 | 20 |
Iraq_Jabir Ibn Hayyan Medical University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.99 | 0.98 | 0.00 | 0.99 | 0.45 | 18 |
Russia_Don State Technical University | 0.23 | 0.17 | 0.00 | 0.06 | 0.52 | 0.08 | 0.06 | 0.10 | 0.08 | 0.48 | 0.18 | 0.08 | 0.12 | 0.10 | 0.09 | 0.56 | 10 |
Iraq_Al-Noor University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.06 | 0.08 | 0.00 | 0.12 | 0.09 | 73 |
Kazakhstan_EA Buketov Karaganda State University | 0.05 | 0.05 | 0.00 | 0.04 | 0.07 | 0.04 | 0.08 | 0.00 | 0.06 | 0.09 | 0.08 | 0.04 | 0.06 | 0.34 | 0.06 | 0.13 | 64 |
Iraq_Al-Kitab University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.04 | 0.05 | 0.00 | 0.01 | 0.04 | 80 |
Ukraine_Ostrogradskiy National University of Kremenchuk | 0.04 | 0.04 | 0.49 | 0.02 | 0.03 | 0.02 | 0.03 | 0.54 | 0.21 | 0.03 | 0.48 | 0.03 | 0.04 | 0.19 | 0.03 | 0.44 | 21 |
Tunisia_Universite de la Manouba | 0.24 | 0.35 | 0.00 | 0.17 | 0.04 | 0.16 | 0.17 | 0.00 | 0.14 | 0.07 | 0.08 | 0.05 | 0.07 | 0.98 | 0.03 | 0.34 | 38 |
Russia_Voronezh State Technical University | 0.06 | 0.07 | 0.13 | 0.05 | 0.09 | 0.04 | 0.06 | 0.15 | 0.04 | 0.18 | 1.00 | 0.00 | 0.00 | 1.00 | 0.01 | 0.53 | 12 |
Iraq_University of Ahl al-Bayt | 0.00 | 0.00 | 0.00 | 0.18 | 0.00 | 0.13 | 0.16 | 0.00 | 0.00 | 0.00 | 0.08 | 0.09 | 0.11 | 0.62 | 0.15 | 0.38 | 28 |
Iraq_University of Babylon | 0.19 | 0.16 | 0.09 | 0.08 | 0.20 | 0.37 | 0.05 | 0.10 | 0.03 | 0.02 | 0.08 | 0.16 | 0.17 | 0.08 | 0.08 | 0.26 | 51 |
Iraq_University of Tikrit | 0.27 | 0.31 | 0.00 | 0.11 | 0.22 | 0.27 | 0.05 | 0.00 | 0.00 | 0.02 | 0.08 | 0.01 | 0.01 | 1.00 | 0.00 | 0.63 | 8 |
Iraq_University of Anbar | 0.18 | 0.22 | 0.00 | 0.09 | 0.80 | 0.29 | 0.07 | 0.00 | 0.05 | 0.00 | 0.08 | 0.15 | 0.16 | 0.09 | 0.12 | 0.43 | 22 |
Iraq_Al-Maarif University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.07 | 0.08 | 0.00 | 0.10 | 0.04 | 79 |
Russia_Ufa State Petroleum Technological University (USPTU) | 0.04 | 0.04 | 0.13 | 0.05 | 0.05 | 0.02 | 0.09 | 0.10 | 0.12 | 0.33 | 0.08 | 0.09 | 0.10 | 0.06 | 0.19 | 0.27 | 49 |
Russia_Southwest State University | 0.29 | 0.29 | 0.00 | 0.08 | 0.39 | 0.09 | 0.08 | 0.10 | 0.10 | 0.28 | 0.08 | 0.06 | 0.07 | 0.05 | 0.25 | 0.35 | 32 |
Russia_Tver State University | 0.03 | 0.27 | 0.09 | 0.11 | 0.73 | 0.05 | 0.13 | 0.10 | 0.06 | 0.16 | 0.08 | 0.06 | 0.07 | 0.03 | 0.67 | 0.28 | 46 |
Russia_Volgograd State Technical University | 0.09 | 0.10 | 0.00 | 0.09 | 0.16 | 0.02 | 0.11 | 0.00 | 0.03 | 0.36 | 0.08 | 0.10 | 0.11 | 0.11 | 0.25 | 0.35 | 34 |
Iraq_University of Misan | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.09 | 0.05 | 0.00 | 0.00 | 0.00 | 0.08 | 0.17 | 0.18 | 0.34 | 0.05 | 0.16 | 59 |
Spain_ESIC Business and Marketing School | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.10 | 0.04 | 0.00 | 0.73 | 0.58 | 0.08 | 0.28 | 0.33 | 0.11 | 0.06 | 0.38 | 27 |
Iraq_Iraq University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.57 | 0.00 | 0.08 | 0.08 | 0.09 | 0.00 | 0.04 | 0.11 | 70 |
Azerbaijan_Azerbaijan University of Architecture and Construction | 0.17 | 0.15 | 0.00 | 0.02 | 0.73 | 0.03 | 0.03 | 0.10 | 0.24 | 0.43 | 0.08 | 0.05 | 0.06 | 0.20 | 0.03 | 0.51 | 15 |
Iraq_Uruk University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.08 | 0.01 | 0.01 | 0.00 | 0.02 | 0.03 | 81 |
Russia_Omsk State Technical University | 0.17 | 0.19 | 0.09 | 0.07 | 0.75 | 0.06 | 0.09 | 0.00 | 0.04 | 0.74 | 0.18 | 0.07 | 0.07 | 0.09 | 0.16 | 0.68 | 6 |
Iraq_Islamic University in Najaf | 0.03 | 0.03 | 0.00 | 0.02 | 0.04 | 0.00 | 0.01 | 0.00 | 0.00 | 0.00 | 0.08 | 0.21 | 0.20 | 0.02 | 0.04 | 0.13 | 65 |
Iraq_University of Diyala | 0.14 | 0.14 | 0.00 | 0.06 | 0.42 | 0.30 | 0.04 | 0.00 | 0.00 | 0.00 | 0.08 | 0.02 | 0.02 | 0.58 | 0.03 | 0.32 | 41 |
Iraq_Al-Mustaqbal University College | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.23 | 0.05 | 0.00 | 0.22 | 0.00 | 0.08 | 0.16 | 0.15 | 0.04 | 0.20 | 0.28 | 47 |
Iraq_University of Thi-Qar | 0.09 | 0.10 | 0.00 | 0.10 | 0.12 | 0.24 | 0.06 | 0.00 | 0.00 | 0.00 | 0.08 | 0.12 | 0.10 | 0.06 | 0.12 | 0.27 | 50 |
Iraq_University College in Baghdad Iraq | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.10 | 0.09 | 0.00 | 0.07 | 0.04 | 78 |
Russia_Tomsk State University of Architecture and Building | 0.07 | 0.08 | 0.00 | 0.08 | 0.89 | 0.04 | 0.11 | 0.15 | 0.10 | 0.65 | 0.08 | 0.00 | 0.00 | 1.00 | 0.00 | 0.57 | 9 |
Iraq_Al-Nisour University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.08 | 0.03 | 0.03 | 0.00 | 0.07 | 0.11 | 71 |
Russia_Voronezh Institute of High Technologies | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.08 | 0.05 | 0.04 | 0.00 | 0.17 | 0.07 | 75 |
Russia_Pacific National University | 0.09 | 0.07 | 0.00 | 0.04 | 0.18 | 0.03 | 0.07 | 0.00 | 0.09 | 0.30 | 0.08 | 0.09 | 0.07 | 0.06 | 0.14 | 0.29 | 45 |
Pakistan_NED University of Engineering and Technology | 0.04 | 0.03 | 0.00 | 0.15 | 0.08 | 0.23 | 0.12 | 0.00 | 0.04 | 0.03 | 0.08 | 0.09 | 0.07 | 0.53 | 0.10 | 0.25 | 52 |
Russia_North Caucasus Federal University | 0.19 | 0.18 | 0.00 | 0.06 | 0.25 | 0.05 | 0.07 | 0.00 | 0.55 | 0.34 | 0.08 | 0.13 | 0.09 | 0.07 | 0.13 | 0.34 | 39 |
USA_Savannah College of Art and Design | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.01 | 0.08 | 0.00 | 0.52 | 0.85 | 0.08 | 0.68 | 0.61 | 0.02 | 0.82 | 0.93 | 2 |
Russia_Ulyanovsk State University | 0.10 | 0.11 | 0.00 | 0.13 | 0.04 | 0.08 | 0.15 | 0.00 | 0.06 | 0.44 | 0.08 | 0.11 | 0.08 | 0.30 | 0.20 | 0.38 | 26 |
Russia_Novosibirsk State University of Economics and Management | 0.06 | 0.05 | 0.00 | 0.02 | 0.08 | 0.06 | 0.04 | 0.00 | 0.05 | 0.17 | 0.08 | 0.00 | 0.00 | 0.99 | 0.00 | 0.19 | 57 |
Kazakhstan_Suleyman Demirel University - Kazakhstan | 0.00 | 0.00 | 0.00 | 0.61 | 0.00 | 0.17 | 0.92 | 0.00 | 0.56 | 0.24 | 0.08 | 0.02 | 0.02 | 0.99 | 0.04 | 1.00 | 1 |
Russia_Saint-Petersburg state University of Architecture and Construction | 0.06 | 0.07 | 0.09 | 0.07 | 0.06 | 0.23 | 0.06 | 0.10 | 0.08 | 0.37 | 0.08 | 0.16 | 0.11 | 0.07 | 0.11 | 0.35 | 31 |
Azerbaijan_Azerbaijan State University of Economics (UNEC) | 0.07 | 0.06 | 0.00 | 0.03 | 0.13 | 0.17 | 0.02 | 0.00 | 0.06 | 0.07 | 0.08 | 0.10 | 0.07 | 0.79 | 0.01 | 0.35 | 33 |
Russia_Siberian State University of Water Transport | 0.08 | 0.09 | 0.00 | 0.10 | 0.08 | 0.08 | 0.10 | 0.00 | 0.12 | 0.17 | 0.08 | 0.14 | 0.10 | 0.15 | 0.16 | 0.31 | 42 |
Iraq_Middle Technical University | 0.02 | 0.03 | 0.13 | 0.05 | 0.03 | 0.44 | 0.03 | 0.00 | 0.03 | 0.00 | 0.08 | 0.01 | 0.01 | 0.70 | 0.03 | 0.42 | 23 |
Russia_Rostov State University of Economics | 0.11 | 0.06 | 0.00 | 0.01 | 0.08 | 0.02 | 0.02 | 0.00 | 0.07 | 0.15 | 0.08 | 0.05 | 0.03 | 0.02 | 0.06 | 0.13 | 67 |
Iraq_Imam Ja`afar Al-Sadiq University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.18 | 0.03 | 0.18 | 0.07 | 0.04 | 0.00 | 0.08 | 0.16 | 60 |
Iraq_Al-Esraa University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.23 | 0.15 | 0.00 | 0.08 | 0.09 | 72 |
North Macedonia_European University Skopje | 0.06 | 0.06 | 0.00 | 0.00 | 0.00 | 0.02 | 0.03 | 0.00 | 0.48 | 0.92 | 0.08 | 0.16 | 0.09 | 0.27 | 0.03 | 0.22 | 54 |
Russia_Kozma Minin Nizhny Novgorod State Pedagogical University | 0.13 | 0.10 | 0.00 | 0.04 | 0.46 | 0.02 | 0.07 | 0.00 | 0.05 | 0.21 | 0.08 | 0.07 | 0.04 | 0.06 | 0.14 | 0.34 | 36 |
Iraq_Dijlah University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.02 | 0.08 | 0.35 | 0.23 | 0.00 | 0.02 | 0.15 | 62 |
Iraq_University of Samarra | 0.05 | 0.00 | 0.00 | 0.02 | 0.04 | 0.09 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.03 | 0.03 | 0.46 | 0.02 | 0.08 | 74 |
Russia_Belgorod State Technological University | 0.00 | 0.00 | 0.19 | 0.03 | 0.00 | 0.02 | 0.04 | 0.15 | 0.30 | 0.50 | 0.08 | 0.20 | 0.12 | 0.02 | 0.33 | 0.48 | 16 |
Jordan_Al-Ahliyya Amman University | 0.00 | 0.00 | 0.09 | 0.10 | 0.00 | 0.09 | 0.10 | 0.00 | 0.80 | 0.99 | 0.18 | 0.22 | 0.13 | 0.00 | 0.00 | 0.53 | 13 |
Jordan_University of Petra (UOP) | 0.00 | 0.00 | 0.00 | 0.14 | 0.00 | 0.13 | 0.12 | 0.00 | 0.62 | 0.87 | 0.08 | 0.09 | 0.04 | 0.27 | 0.14 | 0.45 | 19 |
Thailand_University of the Thai Chamber of Commerce | 0.04 | 0.04 | 0.00 | 0.05 | 0.04 | 0.06 | 0.05 | 0.00 | 0.43 | 0.20 | 0.08 | 0.16 | 0.07 | 0.04 | 0.15 | 0.36 | 30 |
Iraq_University of Kirkuk | 0.06 | 0.04 | 0.00 | 0.06 | 0.26 | 0.08 | 0.04 | 0.00 | 0.40 | 0.03 | 0.08 | 0.13 | 0.05 | 0.05 | 0.11 | 0.34 | 37 |
Iraq_Al-Farabi University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.29 | 0.15 | 0.00 | 0.17 | 0.11 | 69 |
Iraq_Southern Technical University | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.11 | 0.02 | 0.00 | 0.00 | 0.00 | 0.08 | 0.04 | 0.02 | 0.50 | 0.02 | 0.23 | 53 |
Iraq_Madenat Al-elem University College | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.08 | 0.02 | 0.00 | 0.31 | 0.00 | 0.08 | 0.04 | 0.02 | 0.04 | 0.05 | 0.18 | 58 |
Iraq_Baghdad College Of Economic Sciences University | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.03 | 0.04 | 0.00 | 0.00 | 0.00 | 0.08 | 0.17 | 0.06 | 0.97 | 0.01 | 0.35 | 35 |
Iraq_University of Alkafeel | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.08 | 0.30 | 0.13 | 0.00 | 0.22 | 0.20 | 56 |
Vietnam_Can Tho University | 0.07 | 0.04 | 0.00 | 0.13 | 0.36 | 0.27 | 0.11 | 0.00 | 0.00 | 0.03 | 0.08 | 0.05 | 0.02 | 0.26 | 0.14 | 0.30 | 44 |
Iraq_Al-Kunooze University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.08 | 0.01 | 0.01 | 0.00 | 0.02 | 0.04 | 77 |
The final step is to compare the results of the partial rankings to the corresponding part of the original rankings. The results of the Spearman’s rank correlation shows a strong positive relationship between the two rankings.
## [1] 0.7256323
##
## Spearman's rank correlation rho
##
## data: B$Rank and RANK_RUR[rownames(B), ]
## S = 24298, p-value < 2.2e-16
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
## rho
## 0.7256323
All lower leagues C satisfy all critiria, such as:
Significance: + Median C: yes + Q3 C: yes + D9 C: yes
Stability + Median C: yes + Q3 C: yes + D9 C: yes
High correlation of partial ranks + Median C: yes + Q3 C: yes + D9 C: yes
With the BicARE method the middle league(s) can be specified. In order to use the BicARE method, the first step is to convert the BicARE object to a Biclust object.
bicare2biclust <- function(x){
if(class(x)=="Biclust"){
return(x)
} else if(class(x)=="biclustering"){
Parameters <- list(numberofbicluster=x$param[1,2],residuthreshold=x$param[2,2],genesinitialprobability=x$param[3,2],samplesinitialprobability=x$param[4,2],numberofiterations=x$param[5,2],date=x$param[6,2])
RowxNumber <- t(x$bicRow==1)
NumberxCol <- x$bicCol==1
Number <- as.numeric(dim(RowxNumber)[2])
info <- list()
return(new("Biclust",Parameters=Parameters,RowxNumber=RowxNumber,NumberxCol=NumberxCol,Number=Number,info=info))
}
}
In the next step the BicARE algorithm determines the number of the biclusters.
BICARE_res <- FLOC(Data=as.matrix(RUR),k=2,pGene=1,pSample=1,r=1e-3,N=280,M=10,t=10000,blocGene=NULL,blocSample=NULL)
bres <- bicare2biclust(BICARE_res)
summary(bres)
##
## An object of class Biclust
##
## call:
## NULL
##
## Number of Clusters found: 2
##
## Cluster sizes:
## BC 1 BC 2
## Number of Rows: 280 280
## Number of Columns: 10 10
## [1] "0.001"
The results above show that the BiCARE algorithm found 2 biclusters. In both bicluster there are 280 rows (HEIs) and 10 columns (indicators) which means that the first and the second bicluster are same. Because of this, in the following, only the first bicluster will be considered. This bicluster contains the middle league HEIs and indicators.
The next step is to identify the middle league bicluster.
BICARE_res <- FLOC(Data=as.matrix(RUR),k=2,pGene=1,pSample=1,r=1e-3,N=280,M=10,t=10000,blocGene=NULL,blocSample=NULL)
bres <- bicare2biclust(BICARE_res)
summary(bres)
##
## An object of class Biclust
##
## call:
## NULL
##
## Number of Clusters found: 2
##
## Cluster sizes:
## BC 1 BC 2
## Number of Rows: 280 280
## Number of Columns: 10 10
## [1] "0.001"
The results of the BicARE algorithm can be seen above. The algorithm found one bicluster in which there are 280 rows (HEIs) and 10 columns (indicators). The following step is to calculate the F-tests to determine whether the bicluster is significant or not.
In Table 20 the results of the row and column effects (F-tests) can be read. Both the row and column effects are significant, so the middle league bicluster is significant.
RObs.FStat <- NULL
for (i in c(1:bres@Number)){
RObs.FStat[[i]] <- computeObservedFstat(x=mtx,bicResult=bres,number=i)
}
kable(RObs.FStat,caption = "**Table 20** The results of row and column effects of the middle league")
|
|
To see the differences between those HEIs that are included in the middle league and those that are not in the middle league, one can plot the means, medians, variances, and median absolute deviations (MAD) for rows (HEIs) (see Fig. 35). On Fig. 35 the red line indicates those HEIs that are included in the middle league, while the black line shows the remaining HEIs. Fig. 35. shows that in the case of the HEIs in the middle league the variances differ the most.
Fig. 35 Mean, median, variance and MAD for middle league HEIs
One can do the same for the columns (indicators). Fig. 36 shows the differences between the means, medians, variances, and median absolute deviations (MAD) for the indicators. The red line indicates those indicators that are in the middle league, while the black line shows the remaining indicators. In the case of the indicators in the middle league, all parameters are different.
Fig. 36 Mean, median, variance and MAD for middle league indicators
Fig. 37 depicts the heat map of the middle league. The middle league contains 280 HEIs and 10 indicators. The red cells mean higher values in the case of indicators, while blue cells symbol lower values.
Fig. 37 Heat map of the middle league
Fig. 38 shows the results of BicARE on normalized data. The middle league can be seen in the upper left corner of Fig. 38 which is enlarged on Fig. 37.
Fig. 14 Heat map of the output after applying BicARE on normalized data
The next step is to check the stability of the middle league bicluster. The results of the bootstrap can be seen below.
Bootstrap <- diagnoseColRow(x=as.matrix(RUR),bicResult=bres,number=1,
nResamplings=100,replace=TRUE)
Bootstrap
## $bootstrapFstats
## fval.row fval.col
## [1,] 0.9654725 1.0978251
## [2,] 0.9748886 0.6073742
## [3,] 1.1983284 0.6754093
## [4,] 0.9372399 1.3475876
## [5,] 0.9186830 0.8659411
## [6,] 0.9535500 1.1833253
## [7,] 1.0133518 0.9270615
## [8,] 1.3116887 0.9446949
## [9,] 0.9496790 0.5276194
## [10,] 1.0090971 1.2570563
## [11,] 0.8618730 0.5511894
## [12,] 1.0629454 0.8349225
## [13,] 1.0702774 0.6131635
## [14,] 1.0519220 1.3006500
## [15,] 0.8580317 1.6809539
## [16,] 0.9741700 0.6839106
## [17,] 1.0157944 1.8287388
## [18,] 0.9953129 1.2877553
## [19,] 0.9493655 1.5554357
## [20,] 0.8867624 0.7627136
## [21,] 1.1276854 1.0040383
## [22,] 1.0598052 1.5229142
## [23,] 1.0766962 1.3241031
## [24,] 1.0536725 1.6902827
## [25,] 1.0452796 1.6030843
## [26,] 1.0438429 1.3058466
## [27,] 1.0284492 0.9638819
## [28,] 1.0549830 0.7033013
## [29,] 0.9242596 0.9142408
## [30,] 1.0229976 0.5302268
## [31,] 1.1141205 0.4485122
## [32,] 1.1216449 0.7787326
## [33,] 0.9661538 1.1851329
## [34,] 1.0663810 0.8056560
## [35,] 0.9413381 0.9634705
## [36,] 1.1296442 0.6987605
## [37,] 0.9585088 1.0280077
## [38,] 0.8921240 1.2435078
## [39,] 1.0551398 1.8280461
## [40,] 0.9308456 0.7427313
## [41,] 0.9703149 0.3695467
## [42,] 1.0610189 1.3607770
## [43,] 0.9582506 0.9532205
## [44,] 0.9778254 0.6116391
## [45,] 1.0836140 0.4897520
## [46,] 0.9376161 1.2163374
## [47,] 1.0872887 0.9271720
## [48,] 0.9875892 0.6884871
## [49,] 0.8963830 1.3743197
## [50,] 0.9763467 1.3822816
## [51,] 1.0476048 0.5646332
## [52,] 1.1692836 1.5436118
## [53,] 0.9889368 2.1238246
## [54,] 0.9998016 0.9936966
## [55,] 0.8580025 2.1433170
## [56,] 1.0874057 1.2912344
## [57,] 0.9707828 0.7280606
## [58,] 0.9105547 0.7501747
## [59,] 0.9320128 0.4915482
## [60,] 1.0122656 0.6458883
## [61,] 0.9478834 1.4944715
## [62,] 0.9779883 1.0116391
## [63,] 1.0396465 0.4950956
## [64,] 0.8231317 0.9547603
## [65,] 1.0982198 1.8976780
## [66,] 1.0084624 0.5775510
## [67,] 0.9673208 0.4440290
## [68,] 0.8909694 1.0436398
## [69,] 1.1822035 0.2393775
## [70,] 0.9076207 0.8193040
## [71,] 1.0728258 0.2829434
## [72,] 1.0426683 1.2188293
## [73,] 1.0012179 0.6282573
## [74,] 0.9846838 0.7675554
## [75,] 0.9971417 0.2031055
## [76,] 0.9640731 0.8999376
## [77,] 1.1515940 0.3589734
## [78,] 1.0159644 0.9427805
## [79,] 0.9037804 1.4448663
## [80,] 1.0133627 1.5003462
## [81,] 0.9582987 1.3476056
## [82,] 1.1145683 1.3930830
## [83,] 1.1615162 1.2784976
## [84,] 1.0138733 0.8191009
## [85,] 1.1619489 1.1847403
## [86,] 0.7925811 0.6226129
## [87,] 0.8978420 1.0817776
## [88,] 1.0266541 1.0144137
## [89,] 1.1313505 0.5175151
## [90,] 0.8473212 1.4760991
## [91,] 1.1247006 0.9974105
## [92,] 1.1616582 1.0581748
## [93,] 1.0904371 1.6326500
## [94,] 0.9886459 0.7337353
## [95,] 1.3109860 1.4120835
## [96,] 1.1266580 0.4169031
## [97,] 1.1004420 0.7601623
## [98,] 0.9470697 0.6361148
## [99,] 0.9469009 0.4247412
## [100,] 1.0560269 0.3167390
##
## $observedFstatRow
## [1] 123.2297
##
## $observedFstatCol
## [1] 5.459161
##
## $bootstrapPvalueRow
## [1] 0
##
## $bootstrapPvalueCol
## [1] 0
Since the bootstrapPvalueRow and the bootstrapPvalueCol are lower than 0.01, the bicluster is stable.
The next step is to calculate partial rankings based on the indicators and HEIs in the middle league. The calculation of each score of each indicator of the HEIs are done according to the method used in the original RUR ranking. The original weights of RUR’s indicators are used, and the total scores for the HEIs are calculated using the selected indicators in the given bicluster. Table 21 shows the result of partial ranking in the case of the middle league.
C<-biclust::bicluster(mtx,bres,number=1)
B<-as.data.frame(C[[1]])
selectedweight<-weights[,colnames(B)]
cols <- colnames(B)
sw<-weights[,cols]
BR<-rowSums(B[,cols]*sw)/max(rowSums(B[,cols]*sw))
B$Overall_Score<-BR
B$Rank<-rank(-B$Overall_Score)
kable(B,caption = "**Table 21** League B by BicARE",digits = 2)
T5 | R1 | R3 | R4 | R5 | I1 | I4 | I5 | F1 | F4 | Overall_Score | Rank | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Iraq_Al-Karkh University of Science | 0.00 | 0.03 | 0.03 | 0.03 | 0.00 | 0.24 | 0.08 | 0.32 | 0.01 | 0.20 | 0.10 | 197 |
Iraq_University of Information Technology and Communications | 0.00 | 0.01 | 0.02 | 0.02 | 0.00 | 0.00 | 0.08 | 0.26 | 0.11 | 0.13 | 0.07 | 217 |
Iraq_Al-Qasim green university Iraq | 0.00 | 0.06 | 0.14 | 0.07 | 0.00 | 0.00 | 0.08 | 0.26 | 0.09 | 0.09 | 0.08 | 207 |
USA_Emory University | 0.90 | 0.80 | 0.92 | 0.66 | 0.89 | 0.67 | 0.87 | 0.67 | 0.95 | 0.80 | 0.84 | 34 |
Kazakhstan_Shakarim University | 0.00 | 0.02 | 0.02 | 0.02 | 0.00 | 0.00 | 0.08 | 0.25 | 0.02 | 0.03 | 0.05 | 232 |
USA_Johns Hopkins University | 0.98 | 0.92 | 0.95 | 0.85 | 0.98 | 0.75 | 0.98 | 0.79 | 0.96 | 0.99 | 0.24 | 96 |
USA_University of Rochester | 0.76 | 0.79 | 0.89 | 0.66 | 0.79 | 0.71 | 0.82 | 0.74 | 0.97 | 0.82 | 0.21 | 132 |
USA_Yale University | 0.99 | 0.95 | 0.96 | 0.90 | 0.99 | 0.78 | 0.99 | 0.77 | 0.98 | 0.87 | 0.24 | 95 |
USA_Columbia University | 0.99 | 0.84 | 0.97 | 0.68 | 0.98 | 0.81 | 0.98 | 0.84 | 0.89 | 0.83 | 0.23 | 111 |
USA_University of Chicago | 0.98 | 0.99 | 0.99 | 0.93 | 0.99 | 0.81 | 0.99 | 0.80 | 0.96 | 0.83 | 0.24 | 92 |
USA_California Institute of Technology (Caltech) | 0.99 | 1.00 | 0.99 | 0.99 | 0.99 | 0.85 | 0.99 | 0.91 | 0.99 | 0.94 | 1.00 | 1 |
USA_University of Pennsylvania | 0.98 | 0.93 | 0.95 | 0.87 | 0.98 | 0.80 | 0.97 | 0.74 | 0.99 | 0.86 | 0.94 | 12 |
Denmark_Technical University of Denmark | 0.79 | 0.82 | 0.80 | 0.76 | 0.82 | 0.96 | 0.84 | 0.91 | 0.56 | 0.91 | 0.85 | 33 |
Japan_Gifu University | 0.29 | 0.36 | 0.16 | 0.44 | 0.20 | 0.55 | 0.48 | 0.35 | 0.21 | 0.28 | 0.35 | 78 |
USA_Stanford University | 1.00 | 0.97 | 0.99 | 0.87 | 1.00 | 0.90 | 1.00 | 0.83 | 0.99 | 0.85 | 0.97 | 2 |
Japan_Tottori University | 0.09 | 0.33 | 0.16 | 0.40 | 0.10 | 0.31 | 0.21 | 0.18 | 0.25 | 0.18 | 0.06 | 221 |
USA_Washington University in St. Louis | 0.93 | 0.94 | 0.97 | 0.85 | 0.93 | 0.69 | 0.91 | 0.68 | 0.96 | 0.85 | 0.23 | 114 |
Japan_Okayama University | 0.46 | 0.53 | 0.34 | 0.54 | 0.51 | 0.32 | 0.64 | 0.41 | 0.48 | 0.43 | 0.12 | 184 |
USA_University of California, Los Angeles | 0.99 | 0.86 | 0.93 | 0.76 | 0.99 | 0.74 | 0.99 | 0.74 | 0.92 | 0.80 | 0.23 | 112 |
Russia_Tver State Technical University | 0.09 | 0.10 | 0.06 | 0.10 | 0.00 | 0.00 | 0.08 | 0.30 | 0.06 | 0.11 | 0.02 | 262 |
USA_Princeton University | 0.99 | 0.96 | 0.99 | 0.88 | 0.99 | 0.86 | 0.99 | 0.85 | 0.97 | 0.85 | 0.97 | 4 |
Russia_Bashkirian State Medical University | 0.00 | 0.07 | 0.10 | 0.07 | 0.00 | 0.07 | 0.08 | 0.18 | 0.13 | 0.06 | 0.08 | 210 |
Russia_Kursk State Medical University | 0.00 | 0.06 | 0.11 | 0.05 | 0.00 | 0.04 | 0.08 | 0.31 | 0.06 | 0.06 | 0.08 | 211 |
USA_University of Michigan | 0.99 | 0.85 | 0.89 | 0.78 | 0.99 | 0.74 | 0.98 | 0.72 | 0.83 | 0.82 | 0.89 | 25 |
Ukraine_National Technical University Kharkiv Polytechnic Institute | 0.19 | 0.08 | 0.08 | 0.08 | 0.35 | 0.08 | 0.21 | 0.34 | 0.02 | 0.04 | 0.15 | 169 |
Russia_Siberian State Medical University | 0.00 | 0.12 | 0.15 | 0.12 | 0.00 | 0.10 | 0.08 | 0.26 | 0.14 | 0.10 | 0.03 | 251 |
India_Manipal Academy of Higher Education | 0.43 | 0.17 | 0.17 | 0.18 | 0.44 | 0.40 | 0.60 | 0.44 | 0.21 | 0.25 | 0.09 | 203 |
USA_Massachusetts Institute of Technology (MIT) | 1.00 | 0.90 | 1.00 | 0.62 | 1.00 | 0.93 | 1.00 | 0.92 | 0.99 | 0.93 | 0.24 | 91 |
Argentina_Austral University (Argentina) | 0.19 | 0.14 | 0.31 | 0.11 | 0.35 | 0.32 | 0.48 | 0.44 | 0.14 | 0.05 | 0.07 | 219 |
USA_Rice University | 0.85 | 0.90 | 0.98 | 0.79 | 0.84 | 0.79 | 0.86 | 0.80 | 0.88 | 0.75 | 0.22 | 120 |
Sweden_Karolinska Institute | 0.92 | 0.99 | 0.91 | 0.98 | 0.93 | 0.72 | 0.95 | 0.87 | 0.84 | 0.97 | 0.94 | 11 |
USA_Harvard University | 1.00 | 1.00 | 0.98 | 1.00 | 1.00 | 0.75 | 1.00 | 0.80 | 0.97 | 0.87 | 0.97 | 3 |
Russia_Kazan National Research Technical University named after A.N. Tupolev | 0.19 | 0.09 | 0.06 | 0.12 | 0.10 | 0.27 | 0.18 | 0.26 | 0.20 | 0.47 | 0.20 | 141 |
Japan_Kobe University | 0.61 | 0.54 | 0.37 | 0.58 | 0.61 | 0.46 | 0.43 | 0.37 | 0.56 | 0.56 | 0.53 | 62 |
India_Jamia Millia Islamia | 0.13 | 0.17 | 0.31 | 0.14 | 0.10 | 0.25 | 0.18 | 0.24 | 0.20 | 0.09 | 0.19 | 153 |
Pakistan_Institute of Space Technology | 0.00 | 0.03 | 0.00 | 0.01 | 0.00 | 0.00 | 0.08 | 0.26 | 0.18 | 0.13 | 0.02 | 268 |
Japan_Chiba University | 0.33 | 0.52 | 0.30 | 0.57 | 0.31 | 0.33 | 0.35 | 0.29 | 0.30 | 0.47 | 0.10 | 196 |
China_Harbin Institute of Technology | 0.64 | 0.58 | 0.60 | 0.67 | 0.69 | 0.56 | 0.67 | 0.49 | 0.68 | 0.90 | 0.17 | 163 |
USA_Cornell University | 0.97 | 0.96 | 0.94 | 0.93 | 0.97 | 0.82 | 0.98 | 0.79 | 0.83 | 0.80 | 0.23 | 101 |
Russia_Magnitogorsk State Technical University | 0.00 | 0.05 | 0.03 | 0.06 | 0.00 | 0.00 | 0.08 | 0.07 | 0.06 | 0.16 | 0.01 | 273 |
USA_Drexel University | 0.60 | 0.56 | 0.81 | 0.42 | 0.57 | 0.64 | 0.66 | 0.59 | 0.60 | 0.42 | 0.61 | 58 |
Japan_Osaka Prefecture University | 0.24 | 0.44 | 0.20 | 0.48 | 0.51 | 0.36 | 0.48 | 0.28 | 0.29 | 0.35 | 0.38 | 73 |
Iraq_University of AL-Qadisiyah | 0.00 | 0.08 | 0.51 | 0.05 | 0.15 | 0.16 | 0.08 | 0.31 | 0.01 | 0.03 | 0.14 | 174 |
Ukraine_Kharkiv National University of Radio Electronics | 0.13 | 0.07 | 0.21 | 0.05 | 0.31 | 0.04 | 0.08 | 0.29 | 0.03 | 0.04 | 0.13 | 181 |
UK_University College London | 0.97 | 0.90 | 0.94 | 0.84 | 0.97 | 0.92 | 0.98 | 0.97 | 0.66 | 0.69 | 0.91 | 16 |
Russia_Altai State University | 0.09 | 0.12 | 0.18 | 0.12 | 0.10 | 0.36 | 0.08 | 0.40 | 0.08 | 0.19 | 0.04 | 234 |
Ukraine_Poltava National Technical Yuri Kondratyuk University | 0.09 | 0.03 | 0.04 | 0.04 | 0.10 | 0.00 | 0.08 | 0.09 | 0.00 | 0.00 | 0.01 | 274 |
Iraq_University of Baghdad | 0.33 | 0.07 | 0.20 | 0.05 | 0.31 | 0.17 | 0.18 | 0.30 | 0.13 | 0.05 | 0.05 | 233 |
USA_State University of New York, Stony Brook | 0.68 | 0.60 | 0.82 | 0.50 | 0.74 | 0.78 | 0.75 | 0.73 | 0.63 | 0.53 | 0.18 | 160 |
Romania_Grigore T. Popa University of Medicine and Pharmacy | 0.13 | 0.31 | 0.20 | 0.38 | 0.00 | 0.03 | 0.08 | 0.29 | 0.11 | 0.04 | 0.04 | 236 |
Russia_Perm State University | 0.19 | 0.12 | 0.04 | 0.15 | 0.15 | 0.12 | 0.08 | 0.07 | 0.08 | 0.16 | 0.12 | 182 |
UK_University of Oxford | 0.99 | 0.91 | 0.98 | 0.81 | 0.99 | 0.91 | 0.99 | 0.97 | 0.87 | 0.73 | 0.95 | 9 |
Iraq_Mustansiriyah University | 0.13 | 0.05 | 0.17 | 0.03 | 0.15 | 0.05 | 0.08 | 0.26 | 0.12 | 0.01 | 0.11 | 189 |
Russia_Kazan National Research Technological University | 0.09 | 0.11 | 0.05 | 0.13 | 0.00 | 0.08 | 0.08 | 0.17 | 0.12 | 0.31 | 0.12 | 185 |
China_Jilin University | 0.24 | 0.43 | 0.39 | 0.41 | 0.20 | 0.30 | 0.32 | 0.21 | 0.31 | 0.51 | 0.34 | 79 |
USA_Brown University | 0.90 | 0.97 | 0.92 | 0.96 | 0.91 | 0.76 | 0.91 | 0.71 | 0.93 | 0.75 | 0.23 | 113 |
USA_Lehigh University | 0.51 | 0.51 | 0.49 | 0.51 | 0.44 | 0.38 | 0.64 | 0.52 | 0.71 | 0.45 | 0.13 | 180 |
Russia_Russian New University | 0.09 | 0.03 | 0.04 | 0.03 | 0.10 | 0.16 | 0.08 | 0.17 | 0.06 | 0.09 | 0.02 | 264 |
Russia_Moscow Pedagogical State University | 0.24 | 0.09 | 0.07 | 0.09 | 0.10 | 0.11 | 0.21 | 0.26 | 0.10 | 0.08 | 0.04 | 243 |
Tunisia_Universite de Carthage | 0.00 | 0.16 | 0.17 | 0.17 | 0.10 | 0.13 | 0.08 | 0.29 | 0.01 | 0.02 | 0.03 | 247 |
Russia_Voronezh State University | 0.19 | 0.13 | 0.07 | 0.16 | 0.31 | 0.23 | 0.43 | 0.33 | 0.07 | 0.12 | 0.21 | 129 |
Hong Kong_City University of Hong Kong | 0.78 | 0.87 | 0.86 | 0.92 | 0.82 | 0.99 | 0.76 | 0.79 | 1.00 | 0.82 | 0.89 | 23 |
Republic of Korea_Kookmin University | 0.09 | 0.22 | 0.26 | 0.18 | 0.15 | 0.38 | 0.21 | 0.29 | 0.17 | 0.32 | 0.24 | 97 |
UK_University of Cambridge | 1.00 | 0.92 | 0.96 | 0.82 | 1.00 | 0.88 | 0.99 | 0.96 | 0.94 | 0.73 | 0.95 | 8 |
China_Shanghai Jiao Tong University | 0.80 | 0.82 | 0.49 | 0.92 | 0.82 | 0.75 | 0.82 | 0.61 | 0.87 | 0.96 | 0.82 | 40 |
Russia_Saratov State University | 0.24 | 0.21 | 0.15 | 0.22 | 0.25 | 0.08 | 0.18 | 0.24 | 0.16 | 0.44 | 0.06 | 223 |
USA_University of Washington | 0.97 | 0.89 | 0.97 | 0.78 | 0.97 | 0.73 | 0.96 | 0.71 | 0.94 | 0.89 | 0.23 | 109 |
USA_University of Illinois at Chicago | 0.84 | 0.75 | 0.74 | 0.69 | 0.85 | 0.67 | 0.87 | 0.66 | 0.84 | 0.63 | 0.20 | 146 |
Russia_Moscow Institute of Physics and Technology | 0.88 | 0.65 | 0.48 | 0.72 | 0.84 | 0.74 | 0.70 | 0.70 | 0.70 | 0.79 | 0.19 | 156 |
China_Fudan University | 0.83 | 0.87 | 0.61 | 0.91 | 0.83 | 0.64 | 0.77 | 0.56 | 0.85 | 0.97 | 0.20 | 137 |
Russia_Ryazan State Medical University | 0.09 | 0.03 | 0.04 | 0.04 | 0.00 | 0.13 | 0.08 | 0.22 | 0.09 | 0.07 | 0.08 | 205 |
Switzerland_Ecole Polytechnique Federale de Lausanne | 0.94 | 0.90 | 0.97 | 0.73 | 0.95 | 0.99 | 0.95 | 1.00 | 0.79 | 0.87 | 0.94 | 10 |
Russia_Moscow State University of Design and Technology (MSUDT) | 0.09 | 0.04 | 0.01 | 0.10 | 0.00 | 0.13 | 0.21 | 0.18 | 0.07 | 0.07 | 0.09 | 201 |
UK_Imperial College London | 0.98 | 0.96 | 0.95 | 0.92 | 0.98 | 0.93 | 0.98 | 0.99 | 0.86 | 0.76 | 0.97 | 6 |
China_Peking University | 0.95 | 0.83 | 0.71 | 0.84 | 0.95 | 0.82 | 0.93 | 0.71 | 0.98 | 0.97 | 0.90 | 21 |
Estonia_University of Tartu | 0.63 | 0.59 | 0.75 | 0.48 | 0.57 | 0.47 | 0.60 | 0.60 | 0.38 | 0.56 | 0.15 | 173 |
USA_Boston University | 0.91 | 0.87 | 0.94 | 0.77 | 0.90 | 0.64 | 0.93 | 0.74 | 0.82 | 0.77 | 0.22 | 124 |
Russia_Bashkir State University | 0.13 | 0.15 | 0.08 | 0.16 | 0.10 | 0.03 | 0.08 | 0.08 | 0.07 | 0.16 | 0.03 | 253 |
USA_University of Southern California | 0.93 | 0.83 | 0.87 | 0.74 | 0.93 | 0.71 | 0.93 | 0.74 | 0.93 | 0.78 | 0.22 | 122 |
Russia_Volgograd State University | 0.00 | 0.10 | 0.03 | 0.12 | 0.00 | 0.14 | 0.08 | 0.11 | 0.07 | 0.09 | 0.02 | 267 |
South Africa_University of Cape Town | 0.78 | 0.71 | 0.80 | 0.68 | 0.77 | 0.82 | 0.75 | 0.82 | 0.58 | 0.73 | 0.77 | 44 |
Russia_Irkutsk State University | 0.24 | 0.13 | 0.15 | 0.13 | 0.15 | 0.15 | 0.08 | 0.17 | 0.06 | 0.10 | 0.14 | 176 |
China_Tsinghua University | 0.96 | 0.83 | 0.75 | 0.84 | 0.96 | 0.73 | 0.95 | 0.64 | 0.96 | 0.99 | 0.89 | 24 |
USA_University of California, Davis | 0.94 | 0.78 | 0.82 | 0.71 | 0.95 | 0.76 | 0.95 | 0.72 | 0.93 | 0.83 | 0.87 | 28 |
Poland_Lodz University of Technology | 0.13 | 0.26 | 0.16 | 0.32 | 0.15 | 0.15 | 0.08 | 0.16 | 0.19 | 0.25 | 0.19 | 149 |
USA_North Carolina State University | 0.86 | 0.65 | 0.65 | 0.67 | 0.85 | 0.81 | 0.88 | 0.69 | 0.81 | 0.76 | 0.20 | 145 |
Russia_Don State Technical University | 0.00 | 0.06 | 0.08 | 0.06 | 0.10 | 0.08 | 0.18 | 0.29 | 0.08 | 0.09 | 0.03 | 256 |
Russia_Northern (Arctic) Federal University (NArFU) | 0.00 | 0.07 | 0.05 | 0.09 | 0.00 | 0.20 | 0.08 | 0.12 | 0.12 | 0.18 | 0.02 | 261 |
Azerbaijan_Baku State University | 0.13 | 0.10 | 0.09 | 0.10 | 0.31 | 0.23 | 0.43 | 0.37 | 0.02 | 0.07 | 0.05 | 231 |
Sweden_Chalmers University of Technology | 0.75 | 0.73 | 0.54 | 0.78 | 0.76 | 0.87 | 0.73 | 0.82 | 0.63 | 0.92 | 0.20 | 148 |
USA_Ohio State University | 0.94 | 0.71 | 0.84 | 0.63 | 0.94 | 0.84 | 0.94 | 0.71 | 0.94 | 0.75 | 0.85 | 31 |
Iraq_Al-Noor University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.06 | 0.12 | 0.03 | 252 |
Kazakhstan_EA Buketov Karaganda State University | 0.00 | 0.04 | 0.04 | 0.08 | 0.00 | 0.06 | 0.08 | 0.13 | 0.04 | 0.06 | 0.06 | 224 |
Hungary_University of Szeged | 0.29 | 0.38 | 0.49 | 0.34 | 0.20 | 0.39 | 0.24 | 0.49 | 0.41 | 0.31 | 0.37 | 75 |
Norway_University of Bergen | 0.65 | 0.85 | 0.90 | 0.79 | 0.64 | 0.80 | 0.64 | 0.77 | 0.56 | 0.56 | 0.74 | 45 |
Russia_Samara University | 0.19 | 0.16 | 0.07 | 0.16 | 0.25 | 0.05 | 0.35 | 0.18 | 0.10 | 0.21 | 0.04 | 235 |
Iraq_Al-Kitab University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.04 | 0.01 | 0.00 | 280 |
USA_Northwestern University | 0.96 | 0.97 | 0.97 | 0.94 | 0.96 | 0.79 | 0.96 | 0.73 | 0.97 | 0.93 | 0.24 | 94 |
China_Hangzhou Dianzi University | 0.13 | 0.29 | 0.52 | 0.27 | 0.15 | 0.29 | 0.30 | 0.18 | 0.19 | 0.30 | 0.07 | 216 |
Canada_McGill University | 0.95 | 0.91 | 0.80 | 0.89 | 0.94 | 0.86 | 0.96 | 0.90 | 0.60 | 0.78 | 0.22 | 118 |
Tunisia_Universite de la Manouba | 0.00 | 0.17 | 0.16 | 0.17 | 0.00 | 0.14 | 0.08 | 0.27 | 0.05 | 0.03 | 0.11 | 188 |
USA_George Washington University | 0.79 | 0.60 | 0.79 | 0.56 | 0.78 | 0.68 | 0.83 | 0.65 | 0.80 | 0.64 | 0.74 | 46 |
USA_University of Connecticut | 0.65 | 0.61 | 0.60 | 0.64 | 0.71 | 0.76 | 0.76 | 0.58 | 0.89 | 0.61 | 0.71 | 53 |
Ukraine_South Ukrainian National Pedagogical University named after K.D. Ushynsky | 0.13 | 0.05 | 0.07 | 0.06 | 0.25 | 0.18 | 0.24 | 0.41 | 0.03 | 0.04 | 0.15 | 170 |
Russia_Tyumen State University | 0.09 | 0.13 | 0.23 | 0.14 | 0.10 | 0.26 | 0.08 | 0.32 | 0.18 | 0.32 | 0.19 | 151 |
Switzerland_ETH Zurich (Swiss Federal Institute of Technology) | 0.98 | 0.96 | 0.93 | 0.94 | 0.98 | 0.99 | 0.98 | 1.00 | 0.84 | 0.96 | 0.25 | 89 |
Russia_Belgorod National Research University | 0.19 | 0.15 | 0.32 | 0.14 | 0.15 | 0.21 | 0.08 | 0.38 | 0.14 | 0.35 | 0.05 | 226 |
China_Beijing Jiaotong University | 0.40 | 0.39 | 0.41 | 0.43 | 0.40 | 0.28 | 0.53 | 0.36 | 0.41 | 0.69 | 0.11 | 187 |
USA_Carnegie Mellon University | 0.96 | 0.88 | 0.91 | 0.82 | 0.96 | 0.83 | 0.97 | 0.86 | 0.92 | 0.95 | 0.23 | 98 |
USA_University of Notre Dame | 0.81 | 0.81 | 0.79 | 0.79 | 0.82 | 0.79 | 0.83 | 0.67 | 0.87 | 0.72 | 0.21 | 134 |
Netherlands_University of Twente | 0.74 | 0.84 | 0.58 | 0.90 | 0.79 | 0.86 | 0.82 | 0.86 | 0.74 | 0.94 | 0.83 | 36 |
UK_University of Bristol | 0.86 | 0.92 | 0.96 | 0.81 | 0.86 | 0.84 | 0.89 | 0.84 | 0.63 | 0.62 | 0.85 | 32 |
Russia_Immanuel Kant Baltic Federal University | 0.19 | 0.14 | 0.11 | 0.15 | 0.20 | 0.17 | 0.08 | 0.27 | 0.15 | 0.15 | 0.17 | 164 |
Poland_University of Lodz | 0.09 | 0.22 | 0.20 | 0.23 | 0.15 | 0.19 | 0.21 | 0.23 | 0.08 | 0.14 | 0.18 | 158 |
Iraq_University of Ahl al-Bayt | 0.00 | 0.18 | 0.13 | 0.16 | 0.00 | 0.00 | 0.08 | 0.17 | 0.09 | 0.15 | 0.10 | 194 |
Russia_Samara State Technical University | 0.13 | 0.11 | 0.06 | 0.12 | 0.15 | 0.05 | 0.24 | 0.09 | 0.13 | 0.26 | 0.03 | 244 |
China_Wuhan University of Science & Technology | 0.09 | 0.20 | 0.34 | 0.20 | 0.10 | 0.25 | 0.21 | 0.14 | 0.14 | 0.28 | 0.05 | 228 |
Iraq_University of Babylon | 0.09 | 0.08 | 0.37 | 0.05 | 0.10 | 0.03 | 0.08 | 0.27 | 0.16 | 0.08 | 0.03 | 245 |
USA_University of California, Berkeley | 0.99 | 0.94 | 0.98 | 0.82 | 0.99 | 0.80 | 0.99 | 0.80 | 0.89 | 0.83 | 0.23 | 99 |
Denmark_Aarhus University | 0.78 | 0.90 | 0.76 | 0.91 | 0.80 | 0.85 | 0.81 | 0.76 | 0.54 | 0.89 | 0.21 | 130 |
UK_Newcastle University | 0.69 | 0.67 | 0.84 | 0.62 | 0.67 | 0.83 | 0.79 | 0.83 | 0.49 | 0.62 | 0.73 | 48 |
Iraq_University of Tikrit | 0.00 | 0.11 | 0.27 | 0.05 | 0.00 | 0.00 | 0.08 | 0.26 | 0.01 | 0.00 | 0.08 | 206 |
Spain_University of Navarra | 0.70 | 0.62 | 0.69 | 0.58 | 0.61 | 0.60 | 0.64 | 0.65 | 0.68 | 0.56 | 0.66 | 56 |
Iraq_University of Anbar | 0.00 | 0.09 | 0.29 | 0.07 | 0.00 | 0.05 | 0.08 | 0.27 | 0.15 | 0.12 | 0.12 | 186 |
Iraq_Al-Maarif University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.07 | 0.10 | 0.03 | 254 |
Russia_Ufa State Petroleum Technological University (USPTU) | 0.13 | 0.05 | 0.02 | 0.09 | 0.10 | 0.12 | 0.08 | 0.13 | 0.09 | 0.19 | 0.03 | 259 |
Russia_Southwest State University | 0.00 | 0.08 | 0.09 | 0.08 | 0.10 | 0.10 | 0.08 | 0.16 | 0.06 | 0.25 | 0.03 | 257 |
Poland_Gdansk University of Technology | 0.19 | 0.29 | 0.26 | 0.32 | 0.15 | 0.15 | 0.08 | 0.16 | 0.24 | 0.33 | 0.06 | 222 |
Republic of Korea_Yeungnam University | 0.19 | 0.44 | 0.38 | 0.50 | 0.20 | 0.56 | 0.30 | 0.35 | 0.36 | 0.41 | 0.10 | 199 |
Russia_Volgograd State Technical University | 0.00 | 0.09 | 0.02 | 0.11 | 0.00 | 0.03 | 0.08 | 0.11 | 0.10 | 0.25 | 0.02 | 266 |
Finland_University of Jyvaskyla | 0.36 | 0.47 | 0.58 | 0.45 | 0.40 | 0.43 | 0.38 | 0.49 | 0.37 | 0.63 | 0.47 | 65 |
Chile_Pontificia University Catolica de Chile | 0.74 | 0.53 | 0.52 | 0.50 | 0.68 | 0.60 | 0.69 | 0.65 | 0.47 | 0.69 | 0.63 | 57 |
Slovenia_University of Maribor | 0.19 | 0.35 | 0.38 | 0.39 | 0.15 | 0.17 | 0.08 | 0.26 | 0.18 | 0.29 | 0.25 | 87 |
Iraq_University of Misan | 0.00 | 0.06 | 0.09 | 0.05 | 0.00 | 0.00 | 0.08 | 0.26 | 0.17 | 0.05 | 0.08 | 212 |
Japan_University of Electro-Communications | 0.24 | 0.42 | 0.19 | 0.55 | 0.31 | 0.49 | 0.32 | 0.38 | 0.36 | 0.48 | 0.39 | 72 |
UK_University of York | 0.72 | 0.81 | 0.83 | 0.75 | 0.75 | 0.82 | 0.81 | 0.79 | 0.54 | 0.53 | 0.19 | 152 |
Taiwan_National Chung Hsing University | 0.40 | 0.36 | 0.20 | 0.41 | 0.57 | 0.33 | 0.48 | 0.29 | 0.36 | 0.60 | 0.10 | 192 |
Azerbaijan_Azerbaijan University of Architecture and Construction | 0.00 | 0.02 | 0.03 | 0.03 | 0.10 | 0.24 | 0.08 | 0.29 | 0.05 | 0.03 | 0.02 | 263 |
Iraq_Uruk University | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.16 | 0.08 | 0.04 | 0.01 | 0.02 | 0.01 | 277 |
China_Nanjing University | 0.72 | 0.85 | 0.65 | 0.87 | 0.71 | 0.98 | 0.69 | 0.61 | 0.80 | 0.90 | 0.20 | 140 |
Switzerland_University of Geneva | 0.78 | 0.95 | 0.92 | 0.91 | 0.77 | 0.95 | 0.79 | 0.94 | 0.62 | 0.68 | 0.86 | 29 |
Sweden_Royal Institute of Technology (KTH) | 0.88 | 0.83 | 0.62 | 0.87 | 0.88 | 0.91 | 0.91 | 0.90 | 0.69 | 0.90 | 0.87 | 27 |
China_China Pharmaceutical University | 0.36 | 0.34 | 0.39 | 0.32 | 0.25 | 0.10 | 0.26 | 0.12 | 0.40 | 0.34 | 0.30 | 83 |
Croatia_University of Rijeka | 0.00 | 0.20 | 0.26 | 0.19 | 0.15 | 0.07 | 0.08 | 0.18 | 0.12 | 0.08 | 0.14 | 178 |
Thailand_Prince of Songkla University | 0.40 | 0.21 | 0.20 | 0.20 | 0.47 | 0.33 | 0.43 | 0.34 | 0.42 | 0.18 | 0.33 | 80 |
Singapore_Nanyang Technological University | 0.94 | 0.93 | 0.96 | 0.89 | 0.94 | 0.97 | 0.92 | 0.94 | 0.93 | 0.92 | 0.24 | 90 |
Norway_Norwegian University of Science and Technology | 0.76 | 0.53 | 0.53 | 0.54 | 0.78 | 0.71 | 0.80 | 0.68 | 0.54 | 0.61 | 0.17 | 165 |
Russia_Omsk State Technical University | 0.09 | 0.07 | 0.06 | 0.09 | 0.00 | 0.04 | 0.18 | 0.26 | 0.07 | 0.16 | 0.03 | 258 |
Germany_Ruprecht Karl University of Heidelberg | 0.90 | 0.86 | 0.94 | 0.75 | 0.88 | 0.59 | 0.89 | 0.76 | 0.76 | 0.64 | 0.21 | 131 |
Spain_University of Vigo | 0.36 | 0.34 | 0.39 | 0.35 | 0.20 | 0.14 | 0.56 | 0.40 | 0.25 | 0.24 | 0.08 | 204 |
USA_University of South Carolina | 0.49 | 0.57 | 0.66 | 0.55 | 0.60 | 0.67 | 0.60 | 0.51 | 0.63 | 0.57 | 0.60 | 59 |
USA_Oregon State University | 0.74 | 0.68 | 0.66 | 0.63 | 0.74 | 0.74 | 0.79 | 0.62 | 0.75 | 0.72 | 0.73 | 47 |
Mexico_Monterrey Institute of Technology and Higher Education | 0.53 | 0.26 | 0.32 | 0.27 | 0.35 | 0.59 | 0.56 | 0.60 | 0.43 | 0.57 | 0.47 | 66 |
Japan_Kyushu Institute of Technology | 0.46 | 0.46 | 0.28 | 0.54 | 0.31 | 0.46 | 0.60 | 0.40 | 0.33 | 0.39 | 0.44 | 68 |
Iraq_Islamic University in Najaf | 0.00 | 0.02 | 0.00 | 0.01 | 0.00 | 0.00 | 0.08 | 0.00 | 0.21 | 0.04 | 0.04 | 242 |
Finland_University of Turku | 0.55 | 0.71 | 0.62 | 0.71 | 0.47 | 0.46 | 0.56 | 0.56 | 0.44 | 0.43 | 0.14 | 175 |
Canada_University of Calgary | 0.75 | 0.83 | 0.72 | 0.83 | 0.75 | 0.80 | 0.83 | 0.77 | 0.68 | 0.77 | 0.20 | 142 |
Iraq_University of Diyala | 0.00 | 0.06 | 0.30 | 0.04 | 0.00 | 0.00 | 0.08 | 0.26 | 0.02 | 0.03 | 0.02 | 265 |
USA_University of California, Irvine | 0.82 | 0.82 | 0.92 | 0.70 | 0.86 | 0.77 | 0.86 | 0.76 | 0.94 | 0.76 | 0.21 | 128 |
USA_University of Tennessee Knoxville | 0.61 | 0.72 | 0.84 | 0.68 | 0.54 | 0.68 | 0.60 | 0.51 | 0.83 | 0.58 | 0.17 | 162 |
Turkey_Atilim University | 0.13 | 0.19 | 0.32 | 0.21 | 0.10 | 0.29 | 0.28 | 0.33 | 0.21 | 0.16 | 0.23 | 107 |
Iraq_Al-Mustaqbal University College | 0.00 | 0.08 | 0.23 | 0.05 | 0.00 | 0.22 | 0.08 | 0.32 | 0.16 | 0.20 | 0.14 | 177 |
Romania_George Emil Palade University of Medicine, Pharmacy, Science, and Technology of Targu Mures |
0.00 | 0.17 | 0.12 | 0.16 | 0.00 | 0.11 | 0.08 | 0.18 | 0.14 | 0.04 | 0.10 | 191 |
Taiwan_National Taipei University | 0.29 | 0.19 | 0.22 | 0.23 | 0.31 | 0.17 | 0.48 | 0.26 | 0.23 | 0.25 | 0.27 | 84 |
USA_Michigan State University | 0.93 | 0.72 | 0.79 | 0.72 | 0.92 | 0.81 | 0.94 | 0.73 | 0.88 | 0.81 | 0.86 | 30 |
USA_University of Delaware | 0.69 | 0.68 | 0.76 | 0.61 | 0.73 | 0.66 | 0.76 | 0.59 | 0.80 | 0.99 | 0.19 | 154 |
USA_Purdue University | 0.95 | 0.86 | 0.68 | 0.83 | 0.95 | 0.89 | 0.96 | 0.79 | 0.83 | 0.90 | 0.22 | 117 |
USA_University of Nebraska | 0.72 | 0.65 | 0.74 | 0.64 | 0.66 | 0.77 | 0.67 | 0.62 | 0.78 | 0.74 | 0.18 | 157 |
Russia_South Ural State University | 0.19 | 0.11 | 0.11 | 0.11 | 0.15 | 0.11 | 0.18 | 0.19 | 0.11 | 0.23 | 0.04 | 239 |
Brazil_Universidade Federal do Ceara | 0.24 | 0.27 | 0.26 | 0.30 | 0.15 | 0.25 | 0.21 | 0.19 | 0.40 | 0.27 | 0.07 | 218 |
Iraq_University of Thi-Qar | 0.00 | 0.10 | 0.24 | 0.06 | 0.00 | 0.00 | 0.08 | 0.25 | 0.12 | 0.12 | 0.10 | 195 |
Iraq_University College in Baghdad Iraq | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.10 | 0.07 | 0.03 | 255 |
Russia_Tomsk State University of Architecture and Building | 0.00 | 0.08 | 0.04 | 0.11 | 0.15 | 0.10 | 0.08 | 0.21 | 0.00 | 0.00 | 0.08 | 208 |
Iraq_Al-Nisour University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.08 | 0.06 | 0.03 | 0.07 | 0.05 | 230 |
Canada_Laval University | 0.60 | 0.72 | 0.62 | 0.72 | 0.61 | 0.81 | 0.76 | 0.70 | 0.57 | 0.79 | 0.72 | 51 |
USA_State University of New York, Buffalo | 0.61 | 0.68 | 0.71 | 0.67 | 0.67 | 0.83 | 0.73 | 0.68 | 0.76 | 0.87 | 0.19 | 155 |
Netherlands_Radboud University Nijmegen | 0.64 | 0.97 | 0.88 | 0.95 | 0.72 | 0.72 | 0.74 | 0.75 | 0.67 | 0.85 | 0.20 | 135 |
Russia_Voronezh Institute of High Technologies | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.05 | 0.05 | 0.17 | 0.01 | 276 |
USA_Colorado State University | 0.76 | 0.51 | 0.65 | 0.45 | 0.75 | 0.57 | 0.76 | 0.51 | 0.73 | 0.65 | 0.16 | 167 |
Australia_Australian National University | 0.91 | 0.94 | 0.89 | 0.95 | 0.93 | 0.97 | 0.94 | 0.96 | 0.82 | 0.93 | 0.24 | 93 |
Singapore_National University of Singapore | 0.98 | 0.89 | 0.82 | 0.87 | 0.98 | 0.98 | 0.96 | 0.96 | 0.97 | 0.92 | 0.97 | 5 |
Portugal_University of Minho | 0.51 | 0.46 | 0.58 | 0.40 | 0.44 | 0.34 | 0.53 | 0.55 | 0.23 | 0.31 | 0.45 | 67 |
USA_George Mason University | 0.57 | 0.46 | 0.67 | 0.39 | 0.57 | 0.69 | 0.60 | 0.54 | 0.63 | 0.50 | 0.58 | 60 |
USA_Washington State University | 0.67 | 0.64 | 0.73 | 0.62 | 0.63 | 0.72 | 0.72 | 0.56 | 0.77 | 0.86 | 0.72 | 50 |
Hong Kong_University of Hong Kong | 0.94 | 0.95 | 0.77 | 0.97 | 0.93 | 0.99 | 0.92 | 0.87 | 0.95 | 0.97 | 0.96 | 7 |
USA_Old Dominion University | 0.43 | 0.42 | 0.65 | 0.39 | 0.35 | 0.41 | 0.53 | 0.39 | 0.69 | 0.43 | 0.12 | 183 |
Russia_Pacific National University | 0.00 | 0.04 | 0.03 | 0.07 | 0.00 | 0.09 | 0.08 | 0.14 | 0.09 | 0.14 | 0.02 | 269 |
USA_Virginia Polytechnic Institute and State University | 0.87 | 0.60 | 0.55 | 0.66 | 0.87 | 0.76 | 0.88 | 0.67 | 0.79 | 0.89 | 0.20 | 147 |
Pakistan_NED University of Engineering and Technology | 0.00 | 0.15 | 0.23 | 0.12 | 0.00 | 0.04 | 0.08 | 0.27 | 0.09 | 0.10 | 0.03 | 249 |
Canada_University of British Columbia | 0.96 | 0.92 | 0.86 | 0.90 | 0.96 | 0.94 | 0.97 | 0.93 | 0.78 | 0.77 | 0.23 | 103 |
Finland_Aalto University | 0.77 | 0.86 | 0.73 | 0.85 | 0.79 | 0.71 | 0.80 | 0.84 | 0.64 | 0.63 | 0.79 | 43 |
Hong Kong_Chinese University Hong Kong | 0.89 | 0.95 | 0.82 | 0.97 | 0.89 | 0.97 | 0.82 | 0.81 | 0.95 | 0.95 | 0.93 | 15 |
USA_Oakland University | 0.33 | 0.33 | 0.40 | 0.35 | 0.25 | 0.39 | 0.35 | 0.31 | 0.55 | 0.13 | 0.35 | 76 |
Croatia_University of Zagreb | 0.46 | 0.26 | 0.27 | 0.28 | 0.40 | 0.12 | 0.24 | 0.25 | 0.17 | 0.15 | 0.27 | 86 |
USA_Mississippi State University | 0.29 | 0.52 | 0.40 | 0.55 | 0.20 | 0.35 | 0.32 | 0.26 | 0.39 | 0.57 | 0.40 | 71 |
Russia_Ulyanovsk State University | 0.00 | 0.13 | 0.08 | 0.15 | 0.00 | 0.06 | 0.08 | 0.19 | 0.11 | 0.20 | 0.03 | 260 |
Russia_Novosibirsk State University of Economics and Management | 0.00 | 0.02 | 0.06 | 0.04 | 0.00 | 0.05 | 0.08 | 0.06 | 0.00 | 0.00 | 0.01 | 278 |
Taiwan_Yuan Ze University | 0.29 | 0.38 | 0.17 | 0.52 | 0.31 | 0.34 | 0.30 | 0.28 | 0.38 | 0.51 | 0.09 | 202 |
Republic of Korea_Sungkyunkwan University | 0.96 | 0.93 | 0.57 | 0.96 | 0.96 | 0.73 | 0.92 | 0.64 | 0.91 | 0.95 | 0.22 | 119 |
North Macedonia_University of Sarajevo | 0.00 | 0.17 | 0.42 | 0.14 | 0.00 | 0.13 | 0.08 | 0.33 | 0.12 | 0.06 | 0.04 | 241 |
USA_University of South Florida | 0.55 | 0.74 | 0.61 | 0.75 | 0.66 | 0.69 | 0.69 | 0.59 | 0.76 | 0.91 | 0.72 | 49 |
Mexico_Metropolitan Autonomous University | 0.24 | 0.18 | 0.27 | 0.16 | 0.35 | 0.44 | 0.60 | 0.33 | 0.29 | 0.49 | 0.35 | 77 |
UK_University of Strathclyde | 0.61 | 0.55 | 0.63 | 0.57 | 0.61 | 0.84 | 0.70 | 0.80 | 0.53 | 0.55 | 0.66 | 55 |
Canada_University of Toronto | 0.97 | 0.94 | 0.87 | 0.92 | 0.97 | 0.87 | 0.98 | 0.86 | 0.82 | 0.84 | 0.94 | 13 |
Czech Republic_Masaryk University | 0.58 | 0.46 | 0.33 | 0.51 | 0.47 | 0.51 | 0.56 | 0.62 | 0.30 | 0.68 | 0.52 | 63 |
Canada_Universite de Montreal | 0.80 | 0.89 | 0.69 | 0.91 | 0.81 | 0.86 | 0.86 | 0.82 | 0.79 | 0.84 | 0.21 | 125 |
Russia_Saint-Petersburg state University of Architecture and Construction | 0.09 | 0.07 | 0.23 | 0.06 | 0.10 | 0.08 | 0.08 | 0.14 | 0.16 | 0.11 | 0.03 | 248 |
Netherlands_Erasmus University Rotterdam | 0.85 | 0.99 | 0.92 | 0.97 | 0.87 | 0.83 | 0.88 | 0.84 | 0.72 | 0.94 | 0.23 | 110 |
Azerbaijan_Azerbaijan State University of Economics (UNEC) | 0.00 | 0.03 | 0.17 | 0.02 | 0.00 | 0.06 | 0.08 | 0.07 | 0.10 | 0.01 | 0.01 | 271 |
USA_Texas Tech University | 0.55 | 0.56 | 0.61 | 0.57 | 0.47 | 0.73 | 0.60 | 0.55 | 0.71 | 0.35 | 0.15 | 172 |
Spain_University of Seville | 0.55 | 0.36 | 0.39 | 0.38 | 0.54 | 0.26 | 0.48 | 0.39 | 0.24 | 0.27 | 0.40 | 70 |
Australia_University of Sydney | 0.93 | 0.93 | 0.85 | 0.94 | 0.93 | 0.83 | 0.95 | 0.89 | 0.74 | 0.74 | 0.90 | 20 |
Russia_Siberian State University of Water Transport | 0.00 | 0.10 | 0.08 | 0.10 | 0.00 | 0.12 | 0.08 | 0.13 | 0.14 | 0.16 | 0.09 | 200 |
Taiwan_Tatung University | 0.00 | 0.31 | 0.14 | 0.36 | 0.00 | 0.12 | 0.08 | 0.08 | 0.26 | 0.31 | 0.17 | 161 |
Taiwan_Fu Jen Catholic University | 0.36 | 0.27 | 0.21 | 0.29 | 0.35 | 0.42 | 0.43 | 0.35 | 0.33 | 0.60 | 0.37 | 74 |
Iraq_Middle Technical University | 0.13 | 0.05 | 0.44 | 0.03 | 0.00 | 0.03 | 0.08 | 0.27 | 0.01 | 0.03 | 0.03 | 250 |
USA_Arizona State University | 0.89 | 0.69 | 0.71 | 0.69 | 0.89 | 0.72 | 0.91 | 0.72 | 0.82 | 0.69 | 0.20 | 143 |
China_Guizhou University | 0.00 | 0.20 | 0.30 | 0.19 | 0.00 | 0.14 | 0.08 | 0.09 | 0.27 | 0.29 | 0.04 | 237 |
Netherlands_Wageningen University and Research Center | 0.90 | 0.90 | 0.94 | 0.84 | 0.91 | 0.67 | 0.93 | 0.87 | 0.91 | 0.95 | 0.23 | 108 |
Netherlands_Tilburg University | 0.64 | 0.76 | 0.67 | 0.91 | 0.71 | 0.82 | 0.75 | 0.73 | 0.74 | 0.95 | 0.20 | 144 |
Thailand_King Mongkuts University of Technology Thonburi | 0.40| 0.25| 0.34| 0.26| 0.40| 0.38| 0.60| 0.40| 0.46| 0.62| 0.43| 69| |USA_University of Texas at Dallas | 0.63| 0.69| 0.76| 0.62| 0.71| 0.50| 0.78| 0.69| 0.67| 0.46| 0.67| 54| |Russia_Rostov State University of Economics | 0.00| 0.01| 0.02| 0.02| 0.00| 0.07| 0.08| 0.06| 0.05| 0.06| 0.04| 240| |Ireland_Trinity College Dublin | 0.78| 0.85| 0.81| 0.80| 0.77| 0.94| 0.81| 0.90| 0.67| 0.73| 0.84| 35| |Iraq_Imam Ja afar Al-Sadiq University |
0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.18 | 0.18 | 0.08 | 0.07 | 0.08 | 0.07 | 215 |
South Africa_University of Pretoria | 0.57 | 0.43 | 0.34 | 0.55 | 0.51 | 0.62 | 0.43 | 0.54 | 0.58 | 0.66 | 0.14 | 179 |
Iraq_Al-Esraa University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.23 | 0.08 | 0.01 | 275 |
Mexico_Autonomous University of Mexico State | 0.24 | 0.12 | 0.11 | 0.12 | 0.25 | 0.18 | 0.35 | 0.22 | 0.27 | 0.17 | 0.05 | 227 |
Taiwan_Ming Chuan University | 0.00 | 0.16 | 0.12 | 0.18 | 0.10 | 0.40 | 0.18 | 0.29 | 0.25 | 0.23 | 0.05 | 229 |
Thailand_Kasetsart University | 0.46 | 0.19 | 0.19 | 0.18 | 0.51 | 0.35 | 0.48 | 0.39 | 0.46 | 0.53 | 0.10 | 198 |
Brazil_Pontificia Universidade Catolica do Rio Grande do Sul | 0.24 | 0.22 | 0.28 | 0.21 | 0.10 | 0.20 | 0.18 | 0.19 | 0.39 | 0.41 | 0.25 | 88 |
Canada_Western University | 0.67 | 0.86 | 0.64 | 0.92 | 0.66 | 0.92 | 0.76 | 0.75 | 0.79 | 0.76 | 0.80 | 42 |
Hong Kong_Hong Kong Polytechnic University | 0.82 | 0.66 | 0.75 | 0.73 | 0.86 | 0.90 | 0.84 | 0.74 | 0.90 | 0.59 | 0.81 | 41 |
Australia_University of Western Australia | 0.77 | 0.98 | 0.83 | 0.99 | 0.77 | 0.97 | 0.83 | 0.89 | 0.80 | 0.88 | 0.91 | 19 |
USA_State University of New York, Binghamton | 0.51 | 0.43 | 0.47 | 0.42 | 0.40 | 0.50 | 0.48 | 0.49 | 0.71 | 0.47 | 0.51 | 64 |
Canada_University of Waterloo | 0.86 | 0.77 | 0.63 | 0.85 | 0.84 | 0.90 | 0.89 | 0.82 | 0.69 | 0.68 | 0.21 | 133 |
Russia_Kozma Minin Nizhny Novgorod State Pedagogical University | 0.00 | 0.04 | 0.02 | 0.07 | 0.00 | 0.05 | 0.08 | 0.08 | 0.07 | 0.14 | 0.01 | 270 |
Netherlands_University of Groningen | 0.81 | 0.98 | 0.86 | 0.98 | 0.83 | 0.78 | 0.83 | 0.81 | 0.80 | 0.96 | 0.22 | 116 |
Iraq_University of Samarra | 0.00 | 0.02 | 0.09 | 0.02 | 0.00 | 0.00 | 0.08 | 0.00 | 0.03 | 0.02 | 0.01 | 279 |
Portugal_ISCTE – University Institute of Lisbon | 0.13 | 0.26 | 0.29 | 0.35 | 0.20 | 0.39 | 0.35 | 0.49 | 0.20 | 0.43 | 0.08 | 209 |
Chile_Pontificial Catholic University of Valparaiso | 0.24 | 0.24 | 0.20 | 0.29 | 0.20 | 0.52 | 0.28 | 0.40 | 0.34 | 0.33 | 0.32 | 81 |
Russia_Belgorod State Technological University | 0.19 | 0.03 | 0.02 | 0.04 | 0.15 | 0.30 | 0.08 | 0.21 | 0.20 | 0.33 | 0.16 | 168 |
Taiwan_Tamkang University | 0.33 | 0.24 | 0.16 | 0.26 | 0.31 | 0.42 | 0.30 | 0.33 | 0.26 | 0.31 | 0.30 | 82 |
Canada_University of Ottawa | 0.75 | 0.87 | 0.77 | 0.90 | 0.68 | 0.85 | 0.82 | 0.76 | 0.75 | 0.78 | 0.82 | 38 |
USA_Texas A&M University | 0.92 | 0.70 | 0.59 | 0.75 | 0.92 | 0.77 | 0.94 | 0.67 | 0.87 | 0.84 | 0.83 | 37 |
Canada_Queens University | 0.65 | 0.78 | 0.57 | 0.86 | 0.64 | 0.78 | 0.77 | 0.69 | 0.86 | 0.80 | 0.19 | 150 |
Germany_Karlsruhe Institute of Technology | 0.86 | 0.84 | 0.76 | 0.83 | 0.88 | 0.64 | 0.90 | 0.81 | 0.89 | 0.91 | 0.22 | 123 |
USA_University of Houston | 0.61 | 0.58 | 0.57 | 0.61 | 0.61 | 0.32 | 0.72 | 0.50 | 0.73 | 0.54 | 0.15 | 171 |
South Africa_Stellenbosch University | 0.63 | 0.63 | 0.58 | 0.73 | 0.57 | 0.57 | 0.62 | 0.59 | 0.80 | 0.70 | 0.17 | 166 |
South Africa_University of Witwatersrand | 0.68 | 0.73 | 0.69 | 0.77 | 0.68 | 0.93 | 0.72 | 0.75 | 0.90 | 0.94 | 0.20 | 138 |
USA_Georgia Institute of Technology | 0.96 | 0.74 | 0.90 | 0.63 | 0.96 | 0.88 | 0.97 | 0.85 | 0.93 | 0.92 | 0.91 | 18 |
Egypt_Alexandria University | 0.40 | 0.14 | 0.20 | 0.14 | 0.20 | 0.15 | 0.35 | 0.39 | 0.14 | 0.50 | 0.27 | 85 |
USA_University of California, Santa Barbara | 0.92 | 0.97 | 0.97 | 0.89 | 0.93 | 0.81 | 0.94 | 0.77 | 0.94 | 0.90 | 0.94 | 14 |
Greece_University of Patras | 0.24 | 0.34 | 0.35 | 0.32 | 0.20 | 0.09 | 0.08 | 0.24 | 0.15 | 0.23 | 0.23 | 102 |
South Africa_University of KwaZulu Natal | 0.36 | 0.64 | 0.58 | 0.63 | 0.31 | 0.69 | 0.48 | 0.54 | 0.68 | 0.65 | 0.58 | 61 |
Italy_Ca`Foscari University of Venice | 0.40 | 0.31 | 0.40 | 0.33 | 0.31 | 0.63 | 0.28 | 0.49 | 0.38 | 0.38 | 0.10 | 193 |
Iraq_Al-Farabi University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.29 | 0.17 | 0.01 | 272 |
Canada_McMaster University | 0.83 | 0.99 | 0.85 | 0.99 | 0.83 | 0.94 | 0.89 | 0.82 | 0.91 | 0.96 | 0.23 | 100 |
Belgium_Vrije Universiteit Brussels (VUB) | 0.64 | 0.94 | 0.68 | 0.96 | 0.71 | 0.63 | 0.73 | 0.78 | 0.86 | 0.93 | 0.20 | 136 |
Germany_University of Gottingen | 0.86 | 0.92 | 0.85 | 0.91 | 0.83 | 0.58 | 0.86 | 0.71 | 0.86 | 0.90 | 0.21 | 126 |
Australia_University of Adelaide | 0.73 | 0.97 | 0.95 | 0.96 | 0.76 | 0.95 | 0.83 | 0.86 | 0.84 | 0.84 | 0.90 | 22 |
Iraq_Southern Technical University | 0.00 | 0.04 | 0.11 | 0.02 | 0.00 | 0.00 | 0.08 | 0.26 | 0.04 | 0.02 | 0.06 | 220 |
Iraq_Madenat Al-elem University College | 0.00 | 0.02 | 0.08 | 0.02 | 0.00 | 0.31 | 0.08 | 0.08 | 0.04 | 0.05 | 0.07 | 214 |
Australia_Monash University | 0.91 | 0.94 | 0.82 | 0.95 | 0.91 | 0.83 | 0.94 | 0.87 | 0.88 | 0.76 | 0.91 | 17 |
Iraq_Baghdad College Of Economic Sciences University | 0.00 | 0.04 | 0.03 | 0.04 | 0.00 | 0.00 | 0.08 | 0.16 | 0.17 | 0.01 | 0.05 | 225 |
Thailand_Mahasarakham University | 0.00 | 0.12 | 0.12 | 0.10 | 0.00 | 0.38 | 0.08 | 0.23 | 0.08 | 0.05 | 0.03 | 246 |
Canada_York University | 0.67 | 0.57 | 0.60 | 0.61 | 0.74 | 0.78 | 0.82 | 0.77 | 0.73 | 0.55 | 0.18 | 159 |
Australia_University of Queensland Australia | 0.90 | 0.97 | 0.82 | 0.97 | 0.90 | 0.89 | 0.92 | 0.88 | 0.89 | 0.83 | 0.23 | 104 |
Australia_University of New South Wales | 0.88 | 0.93 | 0.77 | 0.96 | 0.90 | 0.96 | 0.92 | 0.91 | 0.90 | 0.81 | 0.23 | 105 |
Belgium_Katholieke Universiteit Leuven (KU Leuven) | 0.92 | 0.95 | 0.77 | 0.95 | 0.92 | 0.66 | 0.92 | 0.81 | 0.87 | 0.89 | 0.22 | 115 |
Germany_University of Cologne | 0.61 | 0.75 | 0.70 | 0.74 | 0.60 | 0.51 | 0.68 | 0.66 | 0.89 | 0.75 | 0.71 | 52 |
Vietnam_Can Tho University | 0.00 | 0.13 | 0.27 | 0.11 | 0.00 | 0.00 | 0.08 | 0.26 | 0.05 | 0.14 | 0.11 | 190 |
Belgium_University Catholique de Louvain | 0.80 | 0.96 | 0.89 | 0.95 | 0.78 | 0.73 | 0.80 | 0.83 | 0.85 | 0.96 | 0.89 | 26 |
Iraq_Al-Kunooze University College | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.21 | 0.08 | 0.05 | 0.01 | 0.02 | 0.04 | 238 |
Australia_Queensland University of Technology | 0.74 | 0.79 | 0.69 | 0.86 | 0.69 | 0.94 | 0.79 | 0.79 | 0.81 | 0.79 | 0.82 | 39 |
Germany_University of Freiburg | 0.79 | 0.98 | 0.74 | 0.98 | 0.74 | 0.69 | 0.79 | 0.78 | 0.91 | 0.98 | 0.22 | 121 |
Greece_Athens University of Economics and Business | 0.19 | 0.29 | 0.28 | 0.38 | 0.20 | 0.12 | 0.21 | 0.35 | 0.20 | 0.60 | 0.07 | 213 |
Germany_Technical University of Munich | 0.93 | 0.99 | 0.74 | 0.99 | 0.93 | 0.64 | 0.94 | 0.82 | 0.97 | 0.98 | 0.23 | 106 |
Germany_University of Hamburg | 0.72 | 0.91 | 0.82 | 0.91 | 0.73 | 0.54 | 0.75 | 0.66 | 0.96 | 0.80 | 0.20 | 139 |
Germany_Technical University of Berlin | 0.88 | 0.88 | 0.58 | 0.95 | 0.87 | 0.55 | 0.88 | 0.75 | 0.96 | 0.94 | 0.21 | 127 |
The final step is to compare the results of the partial rankings to the corresponding part of the original rankings. The results of the Spearman’s rank correlation shows a strong positive relationship between the two ranking.
## [1] 0.7588123
##
## Spearman's rank correlation rho
##
## data: B$Rank and RANK_RUR[rownames(B), ]
## S = 882414, p-value < 2.2e-16
## alternative hypothesis: true rho is not equal to 0
## sample estimates:
## rho
## 0.7588123
The middle league B satisfies all three criteria, i.e. it is significant, stable and has high correlation with the original ranking.
Bicluster might (or might not) overlap. Analyzing the overlaps can give a subtler picture of HEIs and indicators.
Fig. 39 shows the Venn diagram of the indicators. The red circle contains those indicators that are in the upper league (League A), in the the blue circle those indicators can be found that are in the lower league (League C). The green circle indicates the middle league’s (League B) indicators.
T<-biclust::bicluster(orig_mtx,res,number = 1)
League_A<-T[[1]]
R<-biclust::bicluster(orig_mtx,rres,number = 1)
League_C<-R[[1]]
B<-biclust::bicluster(orig_mtx,bres,number = 1)
League_B<-B[[1]]
draw.triple.venn(area1=nrow(as.matrix(colnames(League_A))),area2=nrow(as.matrix(colnames(League_B))),area3=nrow(as.matrix(colnames(League_C))),n12=nrow(as.matrix(intersect(colnames(League_A),colnames(League_B)))),n13=nrow(as.matrix(intersect(colnames(League_A),colnames(League_C)))),n23=nrow(as.matrix(intersect(colnames(League_B),colnames(League_C)))),n123=nrow(as.matrix(intersect(intersect(colnames(League_A),colnames(League_B)),colnames(League_C)))),fill=c("red","green","blue"),category=c("League A","League B","League C"),main="Venn Diagram of indicators")
Fig. 39 Venn diagram of the indicators
## (polygon[GRID.polygon.27], polygon[GRID.polygon.28], polygon[GRID.polygon.29], polygon[GRID.polygon.30], polygon[GRID.polygon.31], polygon[GRID.polygon.32], text[GRID.text.33], text[GRID.text.34], text[GRID.text.35], text[GRID.text.36], text[GRID.text.37], text[GRID.text.38], text[GRID.text.39])
One interesting finding is, that all of the indicators in the middle league are part of the lower league’s indicators.
##Venn Diagram of HEIs
Fig. 40 shows the Venn diagram of the HEIs. The red circle contains those HEIs that are in the upper league (League A), in the the blue circle those HEIs can be found that are in the lower league (League C). The green circle indicates the middle league’s (League B) HEIs.
draw.triple.venn(area1=nrow(as.matrix(rownames(League_A))),area2=nrow(as.matrix(rownames(League_B))),area3=nrow(as.matrix(rownames(League_C))),n12=nrow(as.matrix(intersect(rownames(League_A),rownames(League_B)))),n13=nrow(as.matrix(intersect(rownames(League_A),rownames(League_C)))),n23=nrow(as.matrix(intersect(rownames(League_B),rownames(League_C)))),n123=nrow(as.matrix(intersect(intersect(rownames(League_A),rownames(League_B)),rownames(League_C)))),fill=c("red","green","blue"),category=c("League A","League B","League C"),main="Venn Diagram of HEIs")
Fig. 40 Venn diagram of the HEIs
## (polygon[GRID.polygon.40], polygon[GRID.polygon.41], polygon[GRID.polygon.42], polygon[GRID.polygon.43], polygon[GRID.polygon.44], polygon[GRID.polygon.45], text[GRID.text.46], text[GRID.text.47], text[GRID.text.48], text[GRID.text.49], text[GRID.text.50], text[GRID.text.51], text[GRID.text.52], text[GRID.text.53], text[GRID.text.54], text[GRID.text.55])
Seven HEIs are in all of the three leagues. There are 11 HEIs which belong only to the upper league, and there are 18 HEIs which are just in the lower league.
The above proposed biclustering method can help to identify which HEIs can be compared based on which indicators in university rankings. With the iBBiG method the upper and lower league(s) (League(s) A and League(s) C) can be determined and the BicARE method can specify the middle league(s) (League(s) B).