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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.
The Mann–Whitney test (also called the Mann–Whitney–Wilcoxon (MWW/MWU), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney 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.
Wilcoxon signed-rank test: interval: non-parametric: paired: ≥1: Location test: ... Shapiro–Wilk test: interval: univariate: 1: Normality test: sample size ...
Mann–Whitney 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.
For interval and ratio level data, a one-sample t-test can let us infer whether the mean in our sample matches some proposed number (typically 0). Other available tests of location include the one-sample sign test and Wilcoxon signed rank test.
Dave Kerby (2014) recommended the rank-biserial as the measure to introduce students to rank correlation, because the general logic can be explained at an introductory level. The rank-biserial is the correlation used with the Mann–Whitney U test, a method commonly covered in introductory college courses on statistics. The data for this test ...
Some popular Phase-II distribution-free control charts for univariate continuous processes includes: Sign charts based on the sign statistic [2] - used to monitor location parameter of a process; Wilcoxon rank-sum charts based on the Wilcoxon rank-sum test [3] - used to monitor location parameter of a process
In statistics, a rank test is any test involving ranks. ... Wilcoxon signed-rank test; Kruskal–Wallis one-way analysis of variance. Mann–Whitney U (special case)