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The Wilcoxon rank sum test, also known as Mann-Whitney U test, is a non-parametric rank test to assess whether one of two samples has larger values than the other.

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Interpretation of the test statistics of ks.test, ad.test, and wilcox.test

I think that the only intuition behind the test statistics of those tests would be related to the p value (significant or not) - the conclusions to be drawn depend on the research question. However, i …
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