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Table 14 Correlations of context constructs with proficiencies for original estimates and estimates from five rotation designs

From: On the use of rotated context questionnaires in conjunction with multilevel item response models

   Mathematics Reading Science
Country   Original Common Same-corrjoint Same-corrsep Hilo-corrjoint Hilo-corrsep Original Common Same-corrjoint Same-corrsep Hilo-corrjoint Hilo-corrsep Orignal Common Same-corrjoint Same-corrsep Hilo-corrjoint Hilo-corrsep
COL Mean r 0.06 0.06 0.06 0.06 0.06 0.06 0.05 0.05 0.06 0.04 0.06 0.05 0.07 0.07 0.07 0.07 0.07 0.07
  Ratio to original 1.00 0.99 0.92 0.91 1.06 1.04 1.00 1.06 1.22 0.93 1.27 1.11 1.00 1.05 1.01 1.03 0.96 1.01
DEU Mean r 0.16 0.16 0.15 0.15 0.16 0.15 0.12 0.13 0.12 0.11 0.13 0.11 0.16 0.16 0.16 0.16 0.16 0.16
  Ratio to original 1.00 1.00 0.97 0.97 1.01 0.99 1.00 1.08 0.99 0.97 1.07 0.96 1.00 0.99 0.98 0.99 1.00 1.00
FRA Mean r 0.21 0.21 0.21 0.20 0.22 0.21 0.18 0.18 0.18 0.17 0.17 0.17 0.22 0.22 0.22 0.22 0.22 0.22
  Ratio to original 1.00 0.99 0.98 0.96 1.02 0.99 1.00 1.02 0.98 0.97 0.96 0.94 1.00 1.00 1.01 0.99 1.00 1.00
HKG Mean r 0.15 0.15 0.15 0.15 0.15 0.15 0.11 0.12 0.11 0.11 0.12 0.12 0.17 0.17 0.16 0.17 0.17 0.17
  Ratio to original 1.00 1.03 1.00 1.03 1.00 1.00 1.00 1.04 1.02 1.02 1.05 1.06 1.00 0.99 0.99 1.01 0.99 0.99
JOR Mean r 0.12 0.12 0.11 0.11 0.11 0.12 0.12 0.11 0.12 0.12 0.11 0.11 0.12 0.13 0.12 0.12 0.13 0.12
  Ratio to original 1.00 0.99 0.97 0.92 0.97 0.99 1.00 0.94 1.00 0.97 0.91 0.92 1.00 1.04 0.98 1.01 1.03 1.00
NOR Mean r 0.13 0.14 0.13 0.13 0.14 0.13 0.11 0.11 0.10 0.11 0.11 0.11 0.15 0.15 0.15 0.15 0.14 0.15
  Ratio to original 1.00 1.08 1.04 1.02 1.05 1.03 1.00 1.06 0.98 0.98 1.03 1.07 1.00 1.02 0.99 1.00 0.98 1.03
POL Mean r 0.11 0.10 0.10 0.10 0.10 0.11 0.09 0.09 0.09 0.09 0.08 0.09 0.12 0.12 0.11 0.12 0.11 0.12
  Ratio to original 1.00 0.92 0.93 0.97 0.93 1.00 1.00 1.01 0.97 1.01 0.93 1.02 1.00 0.99 0.96 0.98 0.95 1.00
RUS Mean r 0.07 0.07 0.07 0.07 0.07 0.07 0.06 0.06 0.07 0.06 0.06 0.07 0.07 0.07 0.07 0.07 0.07 0.07
  Ratio to original 1.00 1.01 1.00 0.97 1.01 0.98 1.00 1.09 1.13 1.04 1.07 1.10 1.00 1.06 1.07 1.06 1.07 1.04
USA Mean r 0.15 0.15 0.15 0.15 0.15 0.15 * * * * * * 0.17 0.17 0.17 0.17 0.17 0.17
  Ratio to original 1.00 0.97 0.99 0.98 0.98 1.01 * * * * * * 1.00 1.00 1.02 1.02 1.00 1.03
Grand mean ratio   1.00 0.98 0.97 1.00 1.00 1.04 1.00 1.04 0.99 1.04 1.02 1.00 1.00 1.02 1.01 1.00 1.01
  1. Note: Due to an error in the printing of booklets, no reading estimates were available for the United States in PISA 2006.