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An IERI – International Educational Research Institute Journal

Table 13 Differences in estimated percentiles from the original scaling for Poland 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

0

−1

−1

−2

1

1

−2

0

2

−1

1

0

0

3

1

2

4

0

Samecorrjoint

−3

−3

−1

−3

−3

0

−2

0

0

−2

2

0

−1

3

0

1

4

−1

Samecorrsep

−2

−7

−2

−4

−6

1

−1

−1

1

−1

2

0

−1

4

0

1

8

−1

Hilocorrjoint

−2

−6

−3

−2

−5

0

−1

−1

0

−1

3

1

0

5

2

2

9

3

Hilocorrsep

−3

−11

−4

−5

−8

−1

−2

−2

−1

−2

2

1

0

7

2

2

9

2

  1. Note: Standard errors of the originally estimated percentiles for Poland ranged from 3 to 4 PISA points in mathematics, from 3 to 6 PISA points in reading, and from 3 to 4 PISA points in science.