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Is there a statistical hypothesis test that considers the mode rather than the mean or median?

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    Bimodality is sometimes used to test whether a sample (say of visually indistinguishable cells) is made up of two types.2012-10-31
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    Sample modes are a tricky thing for continuous data, so if such a test exists it would almost certainly be for categorical or discrete data. I'm not aware of any, though.2012-11-01

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After 40+ years, I've never seen a test using the mode in the same way that means (t-tests, anova) or medians (Mann-Whitney) are used to compare between or within groups. I suppose we could conjure up a test of proportions using the modes from two or more groups as a starting point.