The Wilcoxon signed rank sum test for matched pairs is the nonparametric counterpart of the paired two-sample t-test of μ_D.

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The Wilcoxon signed rank sum test is a nonparametric test used to compare two dependent (matched) samples, while the paired t-test is a parametric test used for the same purpose. Therefore, the Wilcoxon signed rank sum test is the nonparametric counterpart of the paired t-test, not the paired two-sample t-test of μ_D.

The Wilcoxon Signed Rank Sum Test for Matched Pairs Is