Table 3 Type I error rates and power in the presence of ties. The type I error rates and power were evaluated under different error distributions and varying number of ties. The values inside and outside parenthesis are type I error rates and power, respectively. The cell sample size N = 5.

N

2

0.729 (0.051)

0.726 (0.051)

0.684 (0.052)

5

0.730 (0.056)

0.730 (0.054)

0.682 (0.052)

10

0.724 (0.053)

0.715 (0.051)

0.687 (0.051)

U

2

0.589 (0.054)

0.577 (0.052)

0.495 (0.052)

5

0.580 (0.050)

0.568 (0.046)

0.493 (0.051)

10

0.554 (0.048)

0.539 (0.046)

0.482 (0.048)

LN

2

0.391 (0.032)

0.455 (0.041)

0.581 (0.048)

5

0.411 (0.039)

0.465 (0.054)

0.585 (0.056)

10

0.412 (0.031)

0.448 (0.043)

0.589 (0.045)

CN

2

0.563 (0.038)

0.594 (0.051)

0.730 (0.053)

5

0.575 (0.040)

0.599 (0.048)

0.735 (0.056)

10

0.597 (0.044)

0.613 (0.054)

0.741 (0.057)

C

2

0.244 (0.023)

0.397 (0.057)

0.533 (0.052)

5

0.262 (0.022)

0.370 (0.050)

0.562 (0.049)

10

0.292 (0.030)

0.368 (0.048)

0.558 (0.055)