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Other Nonparametric Tests.

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In addition to chi-square, there are numerous other nonparametric tests that you will see in the literature. We have not tried to present a complete list here; instead, we have included the more common tests.

A nonparametric alternative to a t test for independent groups is the Mann-Whitney U test, which detects differences in central tendency and differences in the entire distributions of rank-ordered data. The Wilcoxon signed-ranks test is an alternative to a t test for dependent groups for rank-ordered data on the same or matched participants.

A nonparametric alternative to the one-way ANOVA is the Kruskal–Wallis H test, used when the data are rank orders of three or more independent groups. When those groups are dependent (i.e., repeated measures), a nonparametric test is the Friedman test.

Methods in Psychological Research

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