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

Table A1.

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

CNT M rg MEbc 1PL 1PCL 1PLL 1PGL 2PL 4PGL 3PLQ 3PLRH 3PL 4PL 4PLQ
AUS 511.2 0.72 0.02 511.3 510.9 510.8 511.1 511.4 511.4 511.2 511.2 511.5 511.2 511.3
AUT 492.5 2.90 0.71 492.7 491.2 494.1 493.9 492.7 492.4 492.3 492.9 491.2 492.1 492.1
BEL 512.4 2.99 0.86 513.0 511.3 514.2 514.2 511.6 512.2 512.4 512.1 511.5 512.3 512.2
CAN 523.0 2.17 0.62 522.5 521.9 522.7 522.9 523.8 523.1 523.1 523.2 524.0 523.0 523.0
CHE 533.5 6.22 1.44 532.5 529.0 535.0 535.2 533.9 534.5 534.4 534.4 533.4 534.9 534.6
CZE 488.1 1.21 0.20 488.2 488.9 487.8 487.7 488.5 487.8 487.8 488.0 488.0 487.7 487.7
DEU 508.9 2.46 0.89 509.7 508.9 510.4 510.3 508.1 508.3 507.9 508.2 508.0 508.1 508.0
DNK 497.4 3.52 0.93 498.0 499.7 496.3 496.6 497.6 496.2 496.4 496.2 497.9 496.4 496.4
ESP 478.9 0.53 0.06 479.1 479.0 478.8 478.8 478.6 479.1 478.9 479.0 478.6 478.9 478.9
EST 508.1 5.35 1.35 507.6 510.8 505.5 505.4 508.9 507.8 507.9 507.7 509.9 507.9 507.9
FIN 538.1 5.13 1.27 539.3 541.1 538.2 537.9 537.9 536.5 536.4 536.8 538.2 536.0 536.2
FRA 490.8 1.79 0.50 491.3 490.0 491.6 491.8 490.0 490.4 490.7 490.6 490.4 490.5 490.5
GBR 486.9 2.30 0.53 486.6 486.9 485.3 485.9 487.1 487.1 487.3 487.1 487.6 487.3 487.3
GRC 458.0 3.95 0.97 458.6 457.6 459.9 459.2 457.3 458.3 458.0 458.2 456.0 457.9 457.8
HUN 483.4 1.11 0.00 483.5 484.1 483.1 483.0 483.5 483.5 483.2 483.4 483.1 483.3 483.4
IRL 482.6 1.97 0.55 482.1 482.1 481.6 482.0 483.1 483.0 483.0 482.7 483.6 483.2 483.2
ISL 501.0 3.02 0.74 501.5 503.0 500.1 500.2 500.7 500.0 500.4 500.1 501.3 500.3 500.4
ITA 478.0 0.88 0.18 478.1 478.6 478.1 477.8 477.7 478.2 478.2 478.2 477.8 478.2 478.2
JPN 529.9 3.06 1.11 528.4 529.1 529.1 528.9 530.5 531.3 531.1 531.0 530.5 531.4 531.3
KOR 544.7 7.87 2.45 541.6 540.0 546.4 545.8 545.6 546.7 547.5 547.1 545.6 547.7 547.8
LUX 483.4 1.55 0.46 483.8 482.8 484.1 484.0 482.7 483.7 483.3 483.7 482.5 483.4 483.5
NLD 521.5 1.98 0.51 522.0 522.6 521.4 521.5 521.2 520.8 520.8 520.8 521.5 520.6 520.7
NOR 493.3 4.11 0.87 493.4 495.6 491.5 491.6 493.5 492.9 493.0 492.8 493.9 493.0 493.0
POL 487.0 1.22 0.15 487.1 488.0 486.8 486.7 487.1 486.9 486.9 486.8 486.8 487.0 486.9
PRT 480.1 2.26 0.49 479.8 478.7 479.7 480.0 480.3 480.7 480.8 481.0 480.2 480.8 480.7
SWE 487.4 1.44 0.47 488.1 488.3 487.4 487.6 486.8 487.2 487.0 487.0 486.9 487.0 487.1

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.