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Related tests

When using this kind of design for a binary response, one instead uses the Cochran's Q test.
Kendall's W is a normalization of the Friedman statistic between 0 and 1.
The Wilcoxon signed-rank test is a nonparametric test of nonindependent data from only two groups.
The Skillings–Mack test is a general Friedman-type statistic that can be used in almost any block design with an arbitrary missing-data structure