Bayesian rank-based hypothesis testing for the rank sum test, the signed rank test, and Spearman's ρ

Wilcoxon signed rank test for imprecise observations

This article extends the Wilcoxon signed rank test for testing whether the median of a population is a specified constant by treating the observations as imprecise values. The test procedure is developed by using the concepts of “Credibility Theory” for studying the behavior of fuzzy phenomena. Numerical illustration of the proposed test is provided by representing the observations as trapezoid...

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...

Generalizing the Wilcoxon rank-sum test for interval data

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 Bayesian Wilcoxon signed-rank test based on the Dirichlet process

Bayesian methods are ubiquitous in machine learning. Nevertheless, the analysis of empirical results is typically performed by frequentist tests. This implies dealing with null hypothesis significance tests and p-values, even though the shortcomings of such methods are well known. We propose a nonparametric Bayesian version of the Wilcoxon signed-rank test using a Dirichlet process (DP) based p...