Table 4 Type I error rates and power of different tests for interaction effects. The type I error rates and power of the three different tests for interaction effects were evaluated under different error distributions. The values inside and outside parenthesis are type I error rates and power, respectively.

N

5

0.711 (0.055)

0.697 (0.053)

0.698 (0.048)

-0.020

-0.018

10

0.952 (0.051)

0.951 (0.051)

0.947 (0.051)

-0.001

-0.005

U

5

0.565 (0.049)

0.548 (0.045)

0.520 (0.050)

-0.030

-0.080

10

0.891 (0.047)

0.891 (0.048)

0.833 (0.047)

0.000

-0.065

LN

5

0.405 (0.031)

0.430 (0.040)

0.579 (0.048)

0.062

0.430

10

0.576 (0.038)

0.593 (0.045)

0.893 (0.050)

0.030

0.550

CN

5

0.525 (0.035)

0.540 (0.044)

0.718 (0.045)

0.029

0.368

10

0.812 (0.043)

0.817 (0.050)

0.969 (0.051)

0.006

0.193

C

5

0.239 (0.014)

0.336 (0.029)

0.523 (0.044)

0.406

1.188

10

0.274 (0.022)

0.364 (0.056)

0.859 (0.052)

0.328

2.135