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The Mann–Whitney test (also called the Mann–Whitney–Wilcoxon (MWW/MWU), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney test) is a nonparametric statistical test of the null hypothesis that, for randomly selected values X and Y from two populations, the probability of X being greater than Y is equal to the probability of Y being greater than X.
The Wilcoxon signed-rank test is a non-parametric rank test for statistical hypothesis testing used either to test the location of a population based on a sample of data, or to compare the locations of two populations using two matched samples. [1] The one-sample version serves a purpose similar to that of the one-sample Student's t-test. [2]
Wilcoxon rank-sum charts based on the Wilcoxon rank-sum test [3] - used to monitor location parameter of a process; Control charts based on precedence or excedance statistic; Shewhart-Lepage chart based on the Lepage test [4] - used to monitor both location and scale parameters of a process simultaneously in a single chart
It may result in a known statistic (e.g., in the two independent samples layout ranking results in the Wilcoxon rank-sum / Mann–Whitney U test), and provides the desired robustness and increased statistical power that is sought.
Over his career Wilcoxon published over 70 papers. [3] His most well-known paper [4] contained the two new statistical tests that still bear his name, the Wilcoxon rank-sum test and the Wilcoxon signed-rank test. These are non-parametric alternatives to the unpaired and paired Student's t-tests respectively. He died on November 18, 1965.
A rank correlation coefficient measures the degree of similarity between two rankings, and can be used to assess the significance of the relation between them. For example, two common nonparametric methods of significance that use rank correlation are the Mann–Whitney U test and the Wilcoxon signed-rank test.
A location test is a statistical hypothesis test that compares the location parameter of a ... Mann–Whitney U or Wilcoxon rank-sum test: Paired N ≥ 30 paired ...
In statistics, a rank test is any test involving ranks. ... Wilcoxon signed-rank test; ... L.A. (2013). Permutation and Rank Tests. In: Essential Statistical ...