The parametric equivalent to the Wilcoxon signed rank test is the dependent samples t-test (or paired t-test). The Wilcoxon signed-rank test can be used when comparing one sample to a specified value, ...

The Kruskal Wallis test and other non-parametric (or distribution-free) tests are useful to test hypotheses when the assumption for normality of the data does not hold. They make no assumptions about ...

The test is named for Frank Wilcoxon (1892–1965) who was a chemist and statistician. The Wilcoxon Rank Sum Test is often described as the non-parametric version of the 2-sample t-test.