The Wilcoxon signed rank test is a nonparametric test that uses the directions of differences observed in a matched-pairs sample to determine whether the relative frequency distributions of two statistical populations are identical to or different from one another.

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The Wilcoxon signed rank test uses the ranks of the absolute differences between paired observations, not the directions of differences, to assess whether the median difference between the pairs is zero.

The Wilcoxon Signed Rank Test Is a Nonparametric Test That