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Table 2 Summary of the simulation setup (hypothesis tests).

From: Parametric methods outperformed non-parametric methods in comparisons of discrete numerical variables

Hypothesis tests

T: two-sample T test

 

U: Welch U test (T test for unequal variances)

 

WMW: Wilcoxon-Mann-Whitney test

 

BM: Brunner-Munzel test

Outcome scales

{0, 1, 2}, {0, 1, 2, 3}, {0, 1, 2, 3, 4}, {0, 1, 2, 3, 4, 5}

Distributions

Uniform, normal, u-shaped, linear trend, step, skewed

Sample sizes (m, n)

(10,10), (25,25), (50,50), (100,100), (25,10), (50,10), (100,50), (100,25), (100,10)

Nominal sig.level

5%

Replications

100 000

Programming language

Matlab [10] with the Statistics Toolbox