Wilcoxon matched-pairs test

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In statistics, a popular significance test that is used with two related samples to test the null hypothesis that the distributions of two variables are identical. It makes no assumptions about the shapes of the distribution of the two variables and it is therefore a distribution-free test. It involves calculating the absolute values of the differences between the two variables for each individual or case and then converting these differences to ranks, and the test statistic is computed from the sums of ranks for negative and positive differences. The distribution-dependent alternative is the related scores t test. [Named after the Irish-born US chemist and self-taught statistician Frank Wilcoxon (1892–1965) who developed the test in 1945]

Subjects: Psychology.

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