Uniform Approximation Is More Appropriate for Wilcoxon Rank-Sum Test in Gene Set Analysis

Uniform Approximation Is More Appropriate for Wilcoxon Rank-Sum Test in Gene Set Analysis

Gene set analysis is widely used to facilitate biological interpretations in the analyses of differential expression from high throughput profiling data. Wilcoxon Rank-Sum (WRS) test is one of the commonly used methods in gene set enrichment analysis. It compares the ranks of genes in a gene set against those of genes outside the gene set. This method is easy to implement and it eliminates the ...

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...

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...

Generalizing the Wilcoxon rank-sum test for interval data

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...