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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.
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
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.
Univariate is a term commonly used in statistics to describe a type ... Other available tests of location include the one-sample sign test and Wilcoxon signed rank test.
A rank correlation coefficient measures the degree of similarity between two rankings, and can be used to assess the significance of the relation between them. For example, two common nonparametric methods of significance that use rank correlation are the Mann–Whitney U test and the Wilcoxon signed-rank test.
It has been generalized from univariate populations to multivariate populations, which produce samples of vectors. It is based on the Wilcoxon signed-rank statistic . In statistical theory, it was an early example of a rank-based estimator , an important class of estimators both in nonparametric statistics and in robust statistics.