. Author manuscript; available in PMC: 2014 Jun 5.

Published in final edited form as: Stat Med. 2012 Mar 13;31(22):2531–2551. doi: 10.1002/sim.5315

Table 3.

Comparison of estimated power (percentage of significant interactions detected in 1000 simulations) of resampling-based tests accounting for repeated measures to that of F statistic-based test using cell means (N = 1800, $σ_{e}^{2} = 8$ )

Cell Means

Repeated Measures

True / Test Model

T-1

M-R

M-C

AMMI

T-1

M-R

M-C

AMMI

σ_{b}^{2} = 2

Tukey-1df

90.8

70.7

65.0

18.8

89.0

90.2

86.1

Mandel-Row

0.0

65.0

0.0

12.5

17.4

93.4

18.4

91.8

Mandel-Col

0.0

50.6

10.0

9.4

9.7

94.7

93.9

AMMI (M=1)

0.3

0.0

12.9

28.2

49.1

62.6

89.4

Additive ^*

13.7

10.6

8.00

4.8

3.6

3.9

4.2

4.1

σ_{b}^{2} = 8

Tukey-1df

69.8

42.7

39.5

9.9

48.8

54.5

59.0

51.0

Mandel-Row

1.3

39.1

0.2

7.5

10.3

55.4

14.0

51.1

Mandel-Col

0.5

0.1

33.4

8.0

9.5

12.4

65.7

58.1

AMMI (M=1)

2.7

1.3

1.7

10.2

11.3

25.7

29.6

53.1

Additive ^*

18.0

15.4

12.6

5.6

3.1

5.2

5.8

6.0

Only main effects but no interaction effect