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...

INTRODUCTION Early detection of social anxiety and loneliness might be useful to prevent substantial impairment in personal relationships. Understanding the way people use smartphones can be beneficial for implementing an early detection of social anxiety and loneliness. This paper examines different types of smartphone usage and their relationships with people with different individual levels ...

The AUC (area under ROC curve) is a commonly used metric to assess discrimination of risk prediction rules; however, standard errors of AUC are usually based on the Mann-Whitney U test that assumes independence of sampling units. For ophthalmologic applications, it is desirable to assess risk prediction rules based on eye-specific outcome variables which are generally highly, but not perfectly ...

Clustered data arise frequently in many practical applications whenever units are repeatedly observed under a certain condition. One typical example for clustered animal experiments, where several animals share the same cage and should not be assumed to completely independent. Standard methods analysis of such Linear Mixed Models Generalized Estimating Equations—however, checking their assumpti...

The historical development of the two-sample rank-sum test is explored. While most textbooks and journal articles attribute the origin of the two-sample rank-sum test to Wilcoxon (1945) and/or Mann and Whitney (1947), the test was independently developed by at least six researchers in the late 1940s and early 1950s. In addition to Wilcoxon and Mann and Whitney, Festinger (1946), Whitfield (1947...