An IERI – International Educational Research Institute Journal
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
| Â | Â | Mathematics | Reading | Science | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Country | Â | 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 |
| Â | 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 |
| Â | 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 |
| Â | 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 |
| Â | 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 |
| Â | 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 |
| Â | 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 |
| Â | 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 |
| Â | 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 |
| Â | 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 | Â | 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 | |