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Table 12 Differences in estimated percentiles from the original scaling for Colombia for each of mathematics, reading, and science, using the alternative conditioning approaches

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

  5th percentile 10th percentile 25th percentile 75th percentile 90th percentile 95th percentile
  Math. Read. Sci. Math. Read. Sci. Math. Read. Sci. Math. Read. Sci. Math. Read. Sci. Math. Read. Sci.
Common −1 −1 −2 −1 −1 −2 1 −1 −1 1 −3 −1 −1 2 −1 0 2 −3
Samecorrjoint 1 −1 0 1 −3 0 1 −1 0 0 1 −1 1 3 0 2 2 −1
Samecorrsep 1 −10 −1 2 −4 −1 2 −2 0 0 1 −2 −1 3 0 1 6 −2
Hilocorrjoint −5 −12 −11 −3 −9 −8 −2 −4 −4 2 5 2 4 6 6 5 8 4
Hilocorrsep −5 −17 −10 −2 −15 −7 −1 −6 −3 3 5 2 5 7 6 5 10 4
  1. Note: Standard errors of the originally estimated percentiles for Colombia ranged from 4 to 9 PISA points for mathematics, from 5 to 11 PISA points for reading, and from 4 to 6 PISA points for science.