PROPHET StatGuide: Two-sample paired (Wilcoxon) signed rank test

The Wilcoxon two-sample paired signed rank test is used to test the null hypothesis that the population median of the paired differences of the two samples is 0.


Note that it is not assumed that the two samples are independent of each other. In fact, they should be related to each other such that they create pairs of data points, such as the measurements on two matched people in a case/control study, or before- and after-treatment measurements on the same person.

The two-sample paired signed rank test is equivalent to performing a one-sample signed rank test on the paired differences.


To properly analyze and interpret results of the two-sample paired signed rank test, you should be familiar with the following terms and concepts: If you are not familiar with these terms and concepts, you are advised to consult with a statistician. Failure to understand and properly apply the two-sample paired signed rank test may result in drawing erroneous conclusions from your data. Additionally, you may want to consult the following references:

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Last modified: March 14, 1997

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