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Table 4 Chi square statistics and their standard deviations of stage 2

From: A comparative study of the impacts of unbalanced sample sizes on the four synthesized methods of meta-analytic structural equation modeling

\(\bar{n}\)

Types

k = 5

k = 10

k = 1

UNIr

UNIz

MGLS

TSSEM

UNIr

UNIz

MGLS

TSSEM

UNIr

UNIz

MGLS

TSSEM

50

E

2.3 (3.9)b

2.4 (4.0)b

1.0 (1.6)

1.1 (1.6)

2.5 (3.3)b

2.6 (3.4)b

1.1 (1.6)

1.1 (1.7)a

2.7 (3.7)b

2.8 (3.7)b

1.1 (1.7)

1.2 (1.8)b

 

M

2.1 (2.8)b

2.2 (2.9)b

1.0 (1.4)

1.1 (1.5)

2.3 (3.2)b

2.3 (3.3)b

1.0 (1.4)

1.1 (1.4)

2.7 (3.7)b

2.7 (3.7)b

1.0 (1.4)

1.0 (1.4)

 

H

2.3 (3.26)b

2.3 (3.4)b

1.0 (1.5)

1.0 (1.6)

2.4 (3.3)b

2.5 (3.4)b

1.0 (1.4)

1.0 (1.4)

2.5 (3.5)b

2.5 (3.6)b

1.0 (1.4)

1.0 (1.5)

100

E

2.3 (3.1)b

2.3 (3.1)b

1.0 (1.5)

1.0 (1.5)

2.9 (3.8)b

2.9 (3.9)b

1.1 (1.6)

1.1 (1.6)

3.4 (4.4)b

3.4 (4.4)b

1.1 (1.5)

1.1 (1.5)a

 

M

2.4 (3.6)b

2.4 (3.6)b

1.0 (1.5)

1.0 (1.5)

2.8 (3.7)b

2.8 (3.7)b

1.0 (1.4)

1.0 (1.4)

3.4 (4.2)b

3.3 (4.2)b

1.0 (1.5)

1.0 (1.5)

 

H

2.4 (3.2)b

2.4 (3.3)b

1.0 (1.5)

1.0 (1.5)

2.8 (3.7)b

2.8 (3.6)b

1.0 (1.4)

1.0 (1.4)

3.2 (4.0)b

3.2 (4.0)b

1.0 (1.4)

1.0 (1.4)

200

E

2.8 (3.7)b

2.8 (3.7)b

1.0 (1.3)

1.0 (1.3)

3.9 (4.6)b

3.9 (4.6)b

1.1 (1.44)

1.1 (14)

5.1 (5.9)b

5.1 (5.9)b

1.1 (1.6)

1.1 (1.6)

 

M

2.7 (3.6)b

2.7 (3.7)b

1.0 (1.6)

1.1 (1.6)

3.6 (4.3)b

3.6 (4.3)b

1.0 (1.3)

0.9 (1.3)

4.8 (5.3)b

4.7 (5.3)b

1.1 (1.5)

1.1 (1.5)

 

H

2.8 (3.6)b

2.9 (3.6)b

1.1 (1.6)a

1.1 (1.6)a

3.7 (4.6)b

3.7 (4.6)b

1.0 (1.4)

1.0 (1.4)

5.0 (5.55)b

4.9 (5.5)b

1.0 (1.4)

1.0 (1.4)

500

E

4.1 (4.9)b

4.1 (4.9)b

1.0 (1.4)

1.0 (1.4)

6.4 (6.2)b

6.4 (6.2)b

0.9 (1.3)

1.0 (1.3)

9.2 (7.79)b

9.1 (7.8)b

1.0 (1.5)

1.0 (1.5)

 

M

4.1 (4.9)b

4.1 (4.9)b

1.0 (1.3)

1.0 (1.3)

6.8 (6.5)b

6.7 (6.5)b

0.9 (1.3)a

0.9 (1.3)a

9.8 (8.1)b

9.7 (8.0)b

1.0 (1.4)

1.0 (1.4)

 

H

4.2 (4.9)b

4.2 (4.9)b

1.0 (1.5)

1.0 (1.5)

6.8 (6.4)b

6.7 (6.4)b

0.9 (1.3)

1.0 (1.3)

9.2 (7.8)b

9.1 (7.8)b

1.0 (1.4)

1.0 (1.4)

1000

E

7.0 (6.8)b

7.0 (6.8)b

1.1 (1.5)

1.1 (1.5)

11.7 (9.0)b

11.7 (9.0)b

1.0 (1.4)

1.0 (1.4)

15.9 (10.5)b

15.8 (10.5)b

1.0 (1.4)

1.0 (1.4)

 

M

6.9 (6.4)b

6.9 (6.4)b

1.0 (1.4)

1.0 (1.4)

11.4 (8.7)b

11.3 (8.7)b

0.9 (1.3)

0.9 (1.3)a

15.9 (10.6)b

15.9 (10.6)b

1.1 (1.6)

1.1 (1.6)

 

H

6.6 (6.5)b

6.6 (6.5)b

0.9 (1.3)

1.0 (1.3)

11.7 (9.0)b

11.7 (9.0)b

1.0 (1.4)

1.0 (1.4)

16.4 (10.8)b

16.3 (10.8)b

1.0 (1.4)

1.0 (1.4)

  1. Values enclosed in parentheses represent standard deviations (SD). Expected means and SDs of Chi squares are 1 and 1.41, respectively
  2. ap < 0.05; b p < 0.01