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An IERI – International Educational Research Institute Journal

Table 3 Combination of analytical decisions and PISA Mathematics Outcome for Germany

From: Evaluating the effects of analytical decisions in large-scale assessments: analyzing PISA mathematics 2003-2012

 

Items

Sample

Calibration

Estimation

2003

2006

2009

2012

M

SE

M

SE

M

SE

M

SE

1

Total

ALL

Chain

PAIR

503.1

(2.9)

508.7

(3.0)

518.0

(2.4)

516.6

(2.4)

2

Total

ALL

Chain

MML

503.7

(3.0)

508.1

(3.1)

515.9

(2.5)

515.9

(2.4)

3

Total

ALL

Concurrent

PAIR

503.6

(2.8)

508.7

(3.1)

517.4

(2.5)

517.9

(2.5)

4

Total

ALL

Concurrent

MML

503.1

(2.9)

509.2

(3.1)

517.5

(2.4)

517.4

(2.6)

5

Total

ALL 2003

Chain

PAIR

503.1

(2.8)

509.2

(3.2)

517.2

(2.5)

519.0

(2.6)

6

Total

ALL 2003

Chain

MML

503.2

(2.9)

508.9

(3.1)

516.2

(2.5)

518.1

(2.6)

7

Total

ALL 2003

Concurrent

PAIR

503.2

(2.9)

508.5

(3.2)

517.8

(2.3)

519.8

(2.5)

8

Total

ALL 2003

Concurrent

MML

503.7

(2.8)

508.1

(3.1)

516.4

(2.6)

518.2

(2.6)

9

Total

OECD 2003

Chain

PAIR

503.3

(2.9)

509.3

(3.2)

516.7

(2.4)

520.3

(2.5)

10

Total

OECD 2003

Chain

MML

503.4

(2.9)

508.3

(3.0)

516.5

(2.5)

518.7

(2.5)

11

Total

OECD 2003

Concurrent

PAIR

503.6

(2.8)

508.7

(3.1)

516.9

(2.5)

521.0

(2.6)

12

Total

OECD 2003

Concurrent

MML

504.4

(2.9)

508.8

(3.0)

516.1

(2.5)

519.6

(2.5)

13

Total

OECD by CYC

Chain

PAIR

503.4

(2.8)

509.0

(3.1)

516.5

(2.6)

519.2

(2.5)

14

Total

OECD by CYC

Chain

MML

503.5

(2.9)

508.8

(3.1)

516.0

(2.4)

518.0

(2.5)

15

Total

OECD by CYC

Concurrent

PAIR

503.5

(2.9)

509.0

(3.0)

517.9

(2.3)

520.3

(2.5)

16

Total

OECD by CYC

Concurrent

MML

503.8

(2.8)

508.7

(3.1)

516.8

(2.5)

520.0

(2.5)

17

Complete

ALL

Chain

PAIR

505.3

(2.6)

512.4

(2.9)

516.3

(2.7)

520.7

(2.2)

18

Complete

ALL

Chain

MML

505.3

(2.6)

512.0

(2.9)

516.6

(2.4)

520.2

(2.4)

19

Complete

ALL

Concurrent

PAIR

505.8

(2.6)

512.4

(2.9)

516.9

(2.7)

521.2

(2.2)

20

Complete

ALL

Concurrent

MML

505.3

(2.8)

512.0

(2.9)

516.8

(2.4)

521.6

(2.0)

21

Complete

ALL 2003

Chain

PAIR

505.2

(2.9)

511.5

(2.8)

515.7

(2.5)

520.1

(2.2)

22

Complete

ALL 2003

Chain

MML

504.9

(2.7)

512.5

(3.0)

516.9

(2.5)

521.4

(2.4)

23

Complete

ALL 2003

Concurrent

PAIR

505.6

(2.7)

512.3

(2.9)

516.9

(2.6)

521.5

(2.4)

24

Complete

ALL 2003

Concurrent

MML

506.3

(2.8)

512.6

(3.3)

516.4

(2.6)

520.7

(2.4)

25

Complete

OECD 2003

Chain

PAIR

505.3

(2.8)

512.8

(3.1)

516.4

(2.6)

521.3

(2.3)

26

Complete

OECD 2003

Chain

MML

505.7

(2.7)

512.2

(2.9)

516.6

(2.6)

520.1

(2.6)

27

Complete

OECD 2003

Concurrent

PAIR

505.4

(2.6)

511.9

(3.2)

515.8

(2.3)

521.4

(2.5)

28

Complete

OECD 2003

Concurrent

MML

505.5

(2.6)

511.8

(2.9)

516.0

(2.6)

520.5

(2.2)

29

Complete

OECD by CYC

Chain

PAIR

506.2

(2.6)

512.0

(2.9)

515.9

(2.5)

519.8

(2.2)

30

Complete

OECD by CYC

Chain

MML

505.8

(2.9)

512.2

(2.9)

515.7

(2.6)

520.7

(2.3)

31

Complete

OECD by CYC

Concurrent

PAIR

505.3

(2.7)

512.0

(3.0)

516.5

(2.5)

520.5

(2.3)

32

Complete

OECD by CYC

Concurrent

MML

506.0

(2.8)

512.4

(3.1)

515.5

(2.6)

521.3

(2.4)

Summary :

  

(2.8)\(^{\mathrm{d}}\)

 

(3.0)\(^{\mathrm{d}}\)

 

(2.5)\(^{\mathrm{d}}\)

 

(2.4)\(^{\mathrm{d}}\)

     

504.5\(^{\mathrm{a}}\)

(3.9)\(^{\mathrm{b}}\)

510.5\(^{\mathrm{a}}\)

(4.8)\(^{\mathrm{b}}\)

516.6\(^{\mathrm{a}}\)

(3.2)\(^{\mathrm{b}}\)

519.8\(^{\mathrm{a}}\)

(3.9)\(^{\mathrm{b}}\)

      

1.40\(^{\mathrm{c}}\)

 

1.58\(^{\mathrm{c}}\)

 

1.26\(^{\mathrm{c}}\)

 

1.62\(^{\mathrm{c}}\)

  1. Mean aggregated country mean (\(M_{aver.}\))\(^{\mathrm{a}}\) and respective compound standard error (\(SE_{comp.}\))\(^{\mathrm{b}}\) and error ratio (ER \(^{l}\)) as the quotient of the averaged standard error across 32 combinations of analytical decisions (\(SE_{aver.}\) \(^{\mathrm{d}}\)) and the respective compound standard error (\(SE_{comp.}\))\(^{\mathrm{b}}\)).