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Why can you use the Kolmogorov-Smirnov (K-S) test for hypothesis testing?

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Why can you use the Kolmogorov-Smirnov (K-S) test for hypothesis testing?

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The K-S test looks for any difference in the distributions, the mann-whitney test looks for differences in the ranks. (Or differences in the medians, if you assume that the shape of the distribution is the same in each group).

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