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# Mann–Whitney test

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## Bonferroni correction

In statistics, a procedure whereby the significance level of a statistical test is adjusted in order to protect against Type I errors when multiple comparisons are being made. Thus if 10 t tests need ...

## Henry Berthold Mann

(1905–2000; b. Vienna, Austria; d. Tucson, AZ)Austrian mathematician who spent most of his career in the United States. Mann obtained his PhD in number theory at Vienna U in 1935. He emigrated to New ...

## Jonckheere–Terpstra test

A k-sample test for trend that is the analogue of the Mann–Whitney test. The test was suggested independently by Jonckheere (in 1954) and Terpstra (in 1952). The assumption is that all k populations ...

## Kruskal–Wallis test

A non-parametric test for comparisons between more than two medians, using the relative rankings within the different samples.

## median test

In statistics, a distribution-free test of the null hypothesis that two or more independent samples come from populations with the same median. See also Mann-Whitney U test.

## non-parametric test

A test that makes no distributional assumptions about the population under investigation. The adjective ‘non-parametric’ was introduced by Wolfowitz in 1942. Non-parametric tests are usually very ...

## test for equality of location

Independent random samples are taken from populations with cumulative distribution functions F1 and F2. It is assumed that, for some constant δ, F1(x)=F2 (x+δ) for all x. The null hypothesis is that ...

## Wilcoxon rank-sum test

An alternative name for the Mann-Whitney U test, not to be confused with the Wilcoxon matched-pairs test.

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