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An IERI – International Educational Research Institute Journal

Table 6 Trend estimates in country means and their linking errors for the PISA Trend from 2006 to 2009 in mathematics

From: Comparing different trend estimation approaches in country means and standard deviations in international large-scale assessment studies

cnt

Estimate

Linking error

I1

I2

I3

I4

D2

D4

I1

I2

I3

I4

D2

D4

AUS

 − 6.8

 − 9.5

 − 7.2

 − 9.8

 − 10.3

 − 9.8

2.7

7.3

1.6

5.9

7.6

5.9

AUT

 − 12.8

 − 8.2

 − 16.4

 − 13.1

 − 12.4

 − 13.1

9.0

13.4

9.5

12.0

13.8

12.0

BEL

 − 11.3

 − 10.6

 − 10.0

 − 10.7

 − 10.2

 − 10.7

2.6

7.2

2.1

6.2

7.5

6.2

CAN

 − 3.6

 − 1.0

 − 3.1

 − 2.4

 − 2.1

 − 2.4

1.5

3.7

3.0

4.7

4.7

4.7

CHE

2.7

0.3

3.1

1.4

1.2

1.4

3.7

5.9

2.8

5.8

3.7

5.8

CHL

2.3

7.4

 − 0.3

3.9

2.9

3.6

4.0

5.7

2.3

3.5

5.3

4.9

CZE

 − 20.4*

 − 15.1*

 − 23.1*

 − 17.8*

 − 17.9*

 − 17.8*

7.4

7.4

5.6

6.9

5.7

6.9

DEU

4.5

6.5

1.2

0.2

4.6

0.2

2.4

4.9

2.5

5.3

4.7

5.3

DNK

 − 15.5*

 − 15.1

 − 11.3*

 − 22.1

 − 13.7

 − 22.1*

2.3

15.5

2.2

13.2

22.4

14.9

ESP

 − 0.5

 − 1.4

 − 2.0

 − 3.0

 − 3.6

 − 3.0

3.8

6.1

2.4

2.8

4.0

2.8

EST

 − 4.4

4.3

 − 4.1

4.3

3.0

4.3

3.6

18.9

6.2

13.6

17.3

12.2

FIN

 − 11.8*

 − 7.9

 − 11.5*

 − 8.7

 − 12.4

 − 12.3

5.6

9.2

7.6

10.1

4.3

5.2

FRA

 − 2.5

 − 2.6

 − 2.1

0.8

0.2

0.8

4.6

7.6

5.4

10.7

11.8

10.7

GBR

 − 4.0

 − 6.2

 − 3.3

 − 4.7

 − 4.9

 − 4.7

6.1

2.4

6.1

2.8

3.0

2.8

GRC

2.7

7.4

 − 1.1

 − 2.6

 − 2.6

 − 2.6

5.3

8.6

7.5

5.7

3.8

5.7

HUN

 − 3.4

 − 3.5

 − 3.1

 − 5.3

 − 5.5

 − 5.3

2.7

4.6

5.8

2.9

2.6

2.9

IRL

 − 16.4*

 − 17.6*

 − 13.1*

 − 14.7*

 − 15.9*

 − 14.7*

3.7

5.1

2.4

2.7

3.2

2.7

ISL

 − 3.9

2.1

 − 2.4

1.5

1.8

1.5

6.6

6.4

8.9

6.3

7.3

6.3

ISR

 − 4.4

 − 0.6

 − 0.7

1.9

1.7

1.9

10.0

10.7

5.6

5.6

6.6

5.6

ITA

16.4*

16.4*

11.3*

11.0*

10.1

11.0*

5.7

8.0

3.8

7.2

5.0

7.2

JPN

4.2

5.4

8.4

10.8

11.4

10.8

4.2

5.8

6.2

8.4

9.4

8.4

KOR

 − 1.0

 − 2.2

 − 1.7

 − 3.5

2.9

4.7

6.8

8.8

5.6

10.1

4.0

4.8

LUX

 − 4.8

 − 7.5

 − 4.8

 − 6.6

 − 8.4

 − 6.6

5.8

6.2

6.5

5.9

5.0

5.9

MEX

3.2

3.5

2.2

3.2

2.6

3.2

8.0

14.3

3.9

5.2

6.7

5.2

NLD

 − 7.0

 − 7.2

 − 5.0

 − 7.2

 − 3.7

 − 7.2

2.4

3.9

5.2

6.7

3.5

6.7

NOR

3.0

3.7

3.6

1.3

1.9

1.3

4.6

10.6

2.4

9.6

10.5

9.6

POL

 − 3.6

 − 0.9

0.8

2.4

1.7

2.4

3.4

8.0

5.4

3.7

4.7

3.7

PRT

16.3

18.3

13.6

11.1

10.0

11.0

2.6

8.7

3.3

5.5

2.9

4.0

SWE

 − 13.3

 − 12.0*

 − 13.9*

 − 13.9

 − 12.8*

 − 13.9

5.8

3.7

8.6

6.7

5.9

6.7

TUR

17.0*

23.4

15.5*

15.1

15.4

15.1

5.6

16.6

5.0

8.6

7.2

8.6

  1. cnt country
  2. *Statistically significant trend estimates (p < .05) with used standard error \({\mathrm{TE}}_{\mathrm{IPD}}\) Estimates in I2, I3, I4, D2 and D4 that significantly differ from I1 are printed in bold