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  2. Mann–Whitney U test - Wikipedia

    en.wikipedia.org/wiki/MannWhitney_U_test

    The MannWhitney test (also called the MannWhitneyWilcoxon (MWW/MWU), Wilcoxon rank-sum test, or WilcoxonMannWhitney test) is a nonparametric statistical test of the null hypothesis that, for randomly selected values X and Y from two populations, the probability of X being greater than Y is equal to the probability of Y being greater than X.

  3. Median test - Wikipedia

    en.wikipedia.org/wiki/Median_test

    The test has low power (efficiency) for moderate to large sample sizes. The WilcoxonMannWhitney U two-sample test or its generalisation for more samples, the Kruskal–Wallis test, can often be considered instead. The relevant aspect of the median test is that it only considers the position of each observation relative to the overall ...

  4. Rank correlation - Wikipedia

    en.wikipedia.org/wiki/Rank_correlation

    The rank-biserial is the correlation used with the MannWhitney U test, a method commonly covered in introductory college courses on statistics. The data for this test consists of two groups; and for each member of the groups, the outcome is ranked for the study as a whole.

  5. Nonparametric statistics - Wikipedia

    en.wikipedia.org/wiki/Nonparametric_statistics

    MannWhitney U or Wilcoxon rank sum test: tests whether two samples are drawn from the same distribution, as compared to a given alternative hypothesis. McNemar's test: tests whether, in 2 × 2 contingency tables with a dichotomous trait and matched pairs of subjects, row and column marginal frequencies are equal.

  6. Brunner Munzel Test - Wikipedia

    en.wikipedia.org/wiki/Brunner_Munzel_Test

    It is thus highly similar to the well-known MannWhitney U test. The core difference is that the Mann-Whitney U test assumes equal variances and a location shift model, while the Brunner Munzel test does not require these assumptions, making it more robust and applicable to a wider range of conditions. As a result, multiple authors recommend ...

  7. ANOVA on ranks - Wikipedia

    en.wikipedia.org/wiki/ANOVA_on_ranks

    For example, Monte Carlo studies have shown that the rank transformation in the two independent samples t-test layout can be successfully extended to the one-way independent samples ANOVA, as well as the two independent samples multivariate Hotelling's T 2 layouts [2] Commercial statistical software packages (e.g., SAS) followed with ...

  8. Wilcoxon signed-rank test - Wikipedia

    en.wikipedia.org/wiki/Wilcoxon_signed-rank_test

    The one-sample Wilcoxon signed-rank test can be used to test whether data comes from a symmetric population with a specified center (which corresponds to median, mean and pseudomedian). [11] If the population center is known, then it can be used to test whether data is symmetric about its center.

  9. Friedman test - Wikipedia

    en.wikipedia.org/wiki/Friedman_test

    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. The Wittkowski test is a general Friedman-Type statistics similar to Skillings-Mack test. When the ...