Xie and Priebe [2002. “Generalizing the Mann–Whitney–Wilcoxon Statistic”. J. Nonparametric Statist. 12, 661–682] introduced the class of weighted generalized Mann–Whitney–Wilcoxon (WGMWW) statistics which contained as special cases the classical Mann–Whitney test statistic and many other nonparametric distribution-free test statistics commonly used for the two-sample testing problem. The two-sa...

The nonparametric Wilcoxon–Mann–Whitney test is commonly used by experimental economists for detecting differences in central tendency between two samples. This test is only theoretically appropriate under certain assumptions concerning the population distributions from which the samples are drawn, and is often used in cases where it is unclear whether these assumptions hold, and even when they...

The Mann-Whitney U test is frequently used to evaluate treatment effects in randomized experiments with skewed outcome distributions or small sample sizes. It may lack power, however, because it ignores the auxiliary baseline covariate information that is routinely collected. Wald and score tests in so-called probabilistic index models generalize the Mann-Whitney U test to enable adjustment for...