Wilcoxon rank-sum test

Topic of Estimation examples, part of Data analysis

Wilcoxon rank-sum test

Type Topic
Taught in Estimation examples
Part Data analysis

A test for a shift between two independent samples that uses only the ranks of the pooled observations, so it does not need normality. It is the safer choice than a two-sample t procedure for small, skewed samples.

In Estimation examples

The effective degrees of freedom lie between the smaller of n_1-1 and n_2-1 and the pooled n_1+n_2-2. For non-normal data the interval is still approximately right when both samples are reasonably large, say 30 or more; for small, skewed samples a rank-based method such as the Wilcoxon rank-sum test is safer.

Used in

See also

Skewness · Margin of error · Welch interval · From data to an estimate · Large-sample intervals · Small normal samples · Two samples with unequal variances · Intervals for proportions

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