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An IERI – International Educational Research Institute Journal

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.