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Table 2 Results of simulations for reliability of .80, and sample size of n = 200

From: Nothing wrong about change: the adequate choice of the dependent variable and design in prediction of cognitive training success

Coefficient

Model 1

Model 2

Model 3

Model 4

Model 5

M

SE

P

M

SE

P

M

SE

P

M

SE

P

M

SE

P

Post-test score

 Intercept

53.29

1.03

1.00

53.29

1.03

1.00

50.49

1.24

1.00

50.48

1.24

1.00

50.47

1.36

1.00

 P-I

0.18

0.09

0.57

0.15

0.06

0.65

0.15

0.06

0.71

0.00

0.07

0.02

0.01

0.10

0.02

 P-II

−0.00

0.08

0.04

0.00

0.06

0.05

0.00

0.06

0.05

−0.00

0.08

0.03

−0.01

0.10

0.03

 Pre-test score

   

0.80

0.07

1.00

0.80

0.07

1.00

0.79

0.06

1.00

   

 Group

      

5.61

1.77

0.96

5.61

1.78

0.96

5.64

2.09

0.87

 P-I x Group

         

0.30

0.11

0.71

0.36

0.17

0.59

 P-II x Group

         

0.01

0.12

0.04

0.01

0.16

0.05

Absolute change score

 Intercept

3.26

0.89

0.99

3.26

0.89

0.99

0.46

1.13

0.19

0.45

1.12

0.20

0.46

1.13

0.18

 P-I

0.14

0.06

0.57

0.15

0.06

0.65

0.15

0.06

0.71

0.00

0.07

0.02

0.00

0.08

0.02

 P-II

0.00

0.06

0.05

0.00

0.06

0.05

0.00

0.06

0.05

−0.00

0.08

0.03

0.00

0.08

0.04

 Pre-test score

   

−0.20

0.07

0.85

−0.20

0.07

0.87

−0.21

0.06

0.89

   

 Group

      

5.61

1.77

0.96

5.61

1.78

0.96

5.60

1.80

0.96

 P-I x Group

         

0.30

0.11

0.71

0.28

0.12

0.63

 P-II x Group

         

0.01

0.12

0.04

0.00

0.12

0.04

Relative change score

 Intercept

7.74

1.94

1.00

7.74

1.94

1.00

2.35

2.42

0.32

2.35

2.41

0.33

2.36

2.44

0.30

 P-I

0.28

0.14

0.50

0.31

0.13

0.62

0.31

0.12

0.67

0.00

0.16

0.02

0.00

0.18

0.02

 P-II

0.01

0.14

0.05

0.01

0.13

0.05

0.01

0.13

0.05

−0.00

0.16

0.03

0.00

0.18

0.04

 Pre-test score

   

−0.61

0.18

0.97

−0.62

0.17

0.98

−0.63

0.17

0.99

   

 Group

      

10.77

3.80

0.93

10.77

3.81

0.93

10.75

3.91

0.92

 P-I x Group

         

0.61

0.24

0.66

0.57

0.26

0.55

 P-II x Group

         

0.01

0.25

0.04

0.01

0.26

0.04

Residual score

 Intercept

0.00

0.00

0.00

0.00

0.00

0.00

−2.80

0.89

0.90

−2.81

0.88

0.90

−2.79

0.88

0.90

 P-I

0.15

0.06

0.65

0.15

0.06

0.65

0.15

0.06

0.71

0.00

0.07

0.02

0.00

0.07

0.02

 P-II

0.00

0.06

0.05

0.00

0.06

0.05

0.00

0.06

0.05

−0.00

0.08

0.03

0.00

0.08

0.03

 Pre-test score

   

−0.01

0.01

0.00

−0.01

0.02

0.00

−0.01

0.03

0.00

   

 Group

      

5.61

1.77

0.96

5.61

1.78

0.96

5.58

1.77

0.96

 P-I x Group

         

0.30

0.11

0.71

0.29

0.11

0.71

 P-II x Group

         

0.01

0.12

0.04

0.00

0.11

0.04

  1. Note. The investigated regression models are displayed in the columns and the investigated dependent variables are displayed in the rows. The results of all other reliabilities and sample sizes (with reliability scores .60, .70, .80, and .90, and sample sizes of n = 50, 100, 150, 200, 250, 300, 400, 500) are displayed in the Supplementary Material Tables 1–32