"Comparative Power Of The Independent t, Permutation t, and WilcoxonTests " by Michèle Weber and Shlomo Sawilowsky
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Abstract

The nonparametric Wilcoxon Rank Sum (also known as the Mann-Whitney U) and the permutation t-tests are robust with respect to Type I error for departures from population normality, and both are powerful alternatives to the independent samples Student’s t-test for detecting shift in location. The question remains regarding their comparative statistical power for small samples, particularly for non-normal distributions. Monte Carlo simulations indicated the rank-based Wilcoxon test was found to be more powerful than both the t and the permutation t-tests.

DOI

10.22237/jmasm/1241136120

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