On stochastic orderings of the Wilcoxon Rank Sum test statistic—With applications to reproducibility probability estimation testing

Reproducibility Probability Estimation for the Wilcoxon-Rank-Sum Test

Riassunto: La stima della probabilità di riproducibilità (RP) di una significatività statistica consiste nella stima a posteriori della potenza, ed è un indicatore dell’affidabilità dei risultati dei test statistici. Si analizzano qui alcuni metodi per la stima, puntuale e per intervalli, della RP per il test di Wilcoxon, e si comparano tramite uno studio di simulazione. Si evince che la soluzi...

A Generalization of Wilcoxon Rank Sum Test

In this paper, we consider applying the Wilcoxon’s idea for the construction of the one-sample problem to the two-sample case. For this, we show that the location translation parameter becomes a median of the distribution of the difference of two independent random variables under the location translation model. Based on this fact, we construct generalized signed-rank statistics for the two sam...

Some Observations on the Wilcoxon Rank Sum Test

This manuscript presents some general comments about the Wilcoxon rank sum test. Even the most casual reader will gather that I am not too impressed with the scientific usefulness of the Wilcoxon test. However, the actual motivation is more to illustrate differences between parametric, semiparametric, and nonparametric (distribution-free) inference, and to use this example to illustrate how man...

Generalizing the Wilcoxon rank-sum test for interval data

Incorporation of clustering effects for the Wilcoxon rank sum test: a large-sample approach.

The Wilcoxon rank sum test is frequently used in statistical practice for the comparison of measures of location when the underlying distributions are far from normal or not known in advance. An assumption of the ordinary rank sum test is that individual sampling units are independent. In many ophthalmologic clinical trials, the Early Treatment for Diabetic Retinopathy Scale (ETDRS) is a princi...