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Table 4 Mean rejection rates (%) of the t- and WMW tests, averaged over 32 combinations of amount of skewness and standard deviation ratios

From: t-tests, non-parametric tests, and large studies—a paradox of statistical practice?

 

Number of subjects in each group

 

10

25

50

100

250

500

1000

 Gamma distributions

t-test

4.01

4.71

4.91

4.98

4.95

4.99

4.97

WMW test

9.47

18.0

28.9

41.6

56.9

66.3

74.7

 Lognormal distributions

t-test

4.20

4.69

4.83

4.89

4.95

4.92

4.98

WMW test

5.21

6.99

9.63

14.4

26.5

39.7

54.3