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. 2022 May 27;24(6):760. doi: 10.3390/e24060760

Table A2.

Detailed results for all 11 different scaling models for country means in PISA 2009 science.

CNT M rg MEbc 1PL 1PCL 1PLL 1PGL 2PL 4PGL 3PLQ 3PLRH 3PL 4PL 4PLQ
AUS 517.6 2.73 0.83 518.4 518.1 519.2 518.3 516.7 517.3 517.1 517.2 516.5 517.2 517.1
AUT 488.1 1.11 0.18 487.9 488.6 487.6 488.0 488.4 488.3 488.4 488.7 487.9 488.3 488.2
BEL 498.1 2.37 0.55 497.8 496.6 498.9 497.7 498.5 498.6 498.5 498.5 498.2 498.7 498.6
CAN 519.6 0.65 0.09 519.6 519.5 520.0 519.6 519.4 519.6 519.6 519.5 519.6 519.4 519.6
CHE 509.2 0.96 0.35 508.7 508.8 508.9 508.7 509.5 509.6 509.7 509.7 509.4 509.6 509.6
CZE 494.1 2.89 0.98 495.1 495.7 494.5 495.2 493.5 493.0 492.8 492.9 493.6 492.9 492.9
DEU 513.9 2.13 0.53 514.2 514.9 514.7 514.2 514.0 513.3 513.1 513.5 513.7 513.1 512.8
DNK 488.3 4.70 1.89 490.3 490.9 489.6 490.4 486.2 486.6 486.5 486.4 486.8 486.7 486.6
ESP 478.2 2.07 0.42 478.2 479.0 477.0 478.4 478.1 477.8 477.9 477.7 478.7 478.0 478.0
EST 517.5 1.00 0.23 517.4 517.2 517.9 517.3 517.4 517.6 517.2 517.4 518.2 517.4 517.2
FIN 546.5 3.54 0.79 547.1 546.3 549.0 546.9 546.0 546.4 546.0 546.1 545.5 546.3 546.1
FRA 488.2 3.74 1.02 487.2 485.9 488.3 487.1 488.9 489.3 489.6 489.5 488.8 489.3 489.5
GBR 505.0 1.12 0.28 504.7 504.8 505.2 504.7 504.9 505.8 505.4 505.4 504.7 505.5 505.6
GRC 461.4 4.51 1.26 460.3 458.3 461.6 460.0 462.4 462.8 462.5 462.5 462.1 462.5 462.5
HUN 494.6 5.05 1.36 495.8 498.0 493.5 496.1 493.9 492.9 493.0 493.0 494.5 493.0 493.1
IRL 497.0 0.95 0.27 497.3 497.4 497.4 497.3 496.7 496.8 496.5 496.7 496.7 496.5 496.6
ISL 487.6 3.34 1.09 486.5 487.4 485.5 486.6 488.8 488.4 488.2 488.4 488.8 488.1 488.2
ITA 479.7 0.57 0.17 479.9 479.5 479.5 479.9 479.8 479.5 479.4 479.3 479.7 479.3 479.3
JPN 534.6 7.85 2.29 532.4 530.2 534.6 532.1 536.1 536.3 537.6 536.9 535.0 538.1 537.6
KOR 530.6 3.57 1.42 529.1 529.0 529.1 529.2 531.0 532.0 532.5 532.4 531.5 532.3 532.4
LUX 474.8 3.49 0.87 474.2 472.6 475.1 474.0 475.3 476.1 476.0 476.1 474.6 475.7 475.7
NLD 514.2 2.63 0.93 515.2 515.6 514.8 515.2 513.6 513.1 513.0 513.2 513.4 513.0 513.1
NOR 491.0 3.24 1.10 492.2 492.6 491.2 492.3 490.5 489.4 489.6 489.4 490.6 489.6 489.7
POL 499.6 3.08 0.70 500.0 501.7 498.6 500.2 499.3 499.0 498.9 499.0 499.7 498.7 498.9
PRT 483.4 4.41 0.88 483.2 485.3 480.9 483.5 483.8 483.0 483.1 482.9 484.4 483.1 483.1
SWE 487.3 1.54 0.34 487.1 486.3 487.2 487.0 487.5 487.6 487.9 487.7 487.5 487.9 487.9

Note. CNT = country label (see Appendix B); M = weighted mean across different scaling models; rg = range of estimates across models; MEbc = bias-corrected estimate of model error based on balanced half sampling (see Equation (23)); For model descriptions see Section 2.1 and Equations (3) to (14). Country means that differ from the weighted mean of country means of the 11 different models more than 1 are printed in bold.