Cite

Figure 1

Outliers detected using Cook’s distance.
Outliers detected using Cook’s distance.

Figure 2

Actual vs MLR model-estimated number of universities on the ARWU (excluded influence observations).
Actual vs MLR model-estimated number of universities on the ARWU (excluded influence observations).

Figure 3

Actual vs robust regression model-estimated number of universities on the ARWU (excluding observations with high influence)
Actual vs robust regression model-estimated number of universities on the ARWU (excluding observations with high influence)

Figure 4

Model-estimated(M-E) number of universities (n.u) on ARWU before vs after raising HDI by 10%.
Model-estimated(M-E) number of universities (n.u) on ARWU before vs after raising HDI by 10%.

Figure 5

Model-estimated (M-E) number of universities(n.u) on ARWU before vs after raising GDP per capita by 10%.
Model-estimated (M-E) number of universities(n.u) on ARWU before vs after raising GDP per capita by 10%.

Figure 6

Model-estimated (M-E) number of universities (n.u) on ARWU before vs after raising GDP per capita and HDI by 10%.
Model-estimated (M-E) number of universities (n.u) on ARWU before vs after raising GDP per capita and HDI by 10%.

Figure 7

Point graph showing the differences between the number of universities on the ARWU when score 1 is modified.
Point graph showing the differences between the number of universities on the ARWU when score 1 is modified.

Values for each indicator by component (after excluding outliers).

Principal Component Analysis
IndicatorPopulationGDPGDP PCHDI
First component-0.3770.1190.9700.946
Second component-0.922-0.9920.0110.153
% of explained variance0.9930.9990.9420.918

Effect of GDP per capita and HDI on countries/regions’ presence in the ARWU top 100 (dummy variables).

At least 1 universityNo universitiesTotalp-value
GDP PC > median(GDP PC)145190,000*
GDP PC ≤ median(GDP PC)21820
Very high HDI1517320,093
Other167

Relationship between number of universities per million inhabitants and country/region presence in the ARWU top 100 (dummy variables).

Presence in the ARWU top 100
No. univ. per 1 M inhabit.At least 1 univ.No univ.Totalp-value
more than 21612280.000*
2 or fewer01111
Total162339

Values for each indicator by component (before excluding outliers).

Principal Component Analysis
IndicatorPopulationGDPGDP PCHDI
First component-0.4990.0410.9790.964
Second component0.8640.998-0.099-0.153
% of explained variance0.9960.9980.9670.952

Correlations and partial correlations

CORRELATIONS AND P-VALUES
HDIGDP PCGDPPOP
NU0,4340,4880,6850,290
(0,006)(0,002)(0,000)(0,074)
IDH0,918-0,122-0,599
(0,000)(0,459)(0,000)
GDP PC-0,051-0,586
(0,760)(0,000)
GDP0,839
(0,000)
PARTIAL CORRELATIONS AND P-VALUES
Control Variable (IDH)
GDP_PCGDPPOP
NU0,2510,8250,762
(0,128)(0,000)(0,000)
Control Variable (GDP_PC)
IDHGDPPOP
NU-0,0410,8140,814
(0,805)(0,000)(0,000)
Control Variable (GDP)
IDHGDP_PCPOP
NU0,7160,718-0,719
(0,000)(0,000)(0,000)
Control Variable(POP)
IDHGDP_PCGDP
NU0,7930,8480,848
(0,000)(0,000)(0,000)

Values of indicators studied (2012).

Country/regionGDP per capitaHDI 2012GDP Mill ($)Population 2012N.U. (500)500%Median_ NUGlobal share of GDPN.U. (100)
United States (USA)51,748.60.9416,244,600313,914,04015030.00153.2022.6453
United Kingdom (GBR)39,093.50.882,471,78463,227,526387.6039.003.449
Germany (DEU)41,862.70.923,428,13181,889,839377.4039.004.784
Chinese mainland* (CHN)6,091.00.708,227,1031,350,695,000285.6021.8011.470
Canada (CAN)52,219.00.911,821,42434,880,491224.4022.002.544
Japan (JPN)46,720.40.915,959,718127,561,489214.2026.208.314
France (FRA)39,771.80.892,612,87865,696,689204.0021.803.643
Italy (ITA)33,071.80.882,014,67060,917,978204.0021.402.810
Australia (AUS)67,555.80.941,532,40822,683,600193.8017.402.145
Netherlands (NLD)45,954.70.92770,55516,767,705132.6012.401.072
Spain (ESP)28,624.50.891,322,96546,217,961112.2010.401.840
Sweden (SWE)55,041.20.92523,8069,516,617112.2011.000.733
Korea (KOR)22,590.20.911,129,59850,004,441102.009.601.570
Chinese Taiwan (TWN)20,335.90.914,741,49023,315,82291.807.401.000
Austria (AUT)46,642.30.90394,7088,462,44671.407.000.550
Belgium (BEL)43,372.40.90483,26211,142,15771.407.000.671
Switzerland (CHE)78,924.70.91631,1737,997,15271.407.400.884
Brazil (BRA)11,339.50.732,252,664198,656,01961.206.203.140
Israel (ISR)30,413.30.90240,5057,907,90061.206.600.363
Finland (FIN)45,720.80.89247,5465,414,29351.005.400.341
Chinese Hong Kong (HKG)36,795.80.91263,2597,154,60051.005.000.370
New Zealand (NZL)37,749.40.92167,3474,433,10051.005.000.230
Denmark (DNK)56,325.70.90314,8875,590,47840.804.000.442
Norway (NOR)99,557.70.96499,6675,018,86940.804.000.701
Ireland (IRL)45,931.70.92210,7714,588,79830.603.000.290
Portugal (PRT)20,165.30.82212,27410,526,70330.602.200.300
South Africa (ZAF)7,507.70.63384,31351,189,30630.603.000.540
Chile (CHL)15,452.20.82269,86917,464,81420.402.000.380
Greece (GRC)22,082.90.86249,09911,280,16720.402.000.350
Hungary (HUN)12,530.50.83124,6009,943,75520.402.000.170
Poland (POL)12,707.90.82489,79538,542,73720.402.000.680
Russia (RUS)14,037.00.792,014,775143,533,00020.402.002.811
Singapore (SGP)51,709.50.90274,7015,312,40020.402.000.380
Argentina (ARG)11,573.10.81475,50241,086,92710.201.000.660
Czech Republic (CZE)18,682.80.87196,44610,514,81010.201.000.270
India (IND)1,489.20.551,841,7101,236,686,73210.201.602.570
Mexico (MEX)9,748.90.781,178,126120,847,47710.201.001.640
Slovenia (SVN)22,000.10.8945,2792,058,15210.201.000.060
Turkey (TUR)10,666.10.72789,25773,997,12810.201.001.100
eISSN:
2543-683X
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Information Technology, Project Management, Databases and Data Mining