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The Wilcoxon signed-rank test is a non-parametric rank test for statistical hypothesis testing used either to test ... A table of critical values for the Wilcoxon ...
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.
The sign test is a statistical test for consistent differences between pairs of observations, such as the weight of subjects before and after treatment. Given pairs of observations (such as weight pre- and post-treatment) for each subject, the sign test determines if one member of the pair (such as pre-treatment) tends to be greater than (or less than) the other member of the pair (such as ...
In statistics, the Brunner Munzel test [1] [2] [3] (also called the generalized Wilcoxon test) is a nonparametric 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.
kruskal.test (Ozone ~ Month, data = airquality) Kruskal-Wallis rank sum test data: Ozone by Month Kruskal-Wallis chi-squared = 29.267, df = 4, p-value = 6.901e-06 To determine which months differ, post-hoc tests may be performed using a Wilcoxon test for each pair of months, with a Bonferroni (or other) correction for multiple hypothesis testing.
[1] [2] Choosing the right statistical test is not a trivial task. [1] The choice of the test depends on many properties of the research question. The vast majority of studies can be addressed by 30 of the 100 or so statistical tests in use .
Some statistics software (e.g. GraphPad Prism) claim to use the Wilcoxon Signed Rank test for non-parametric one sample testing. i.e. compares the median of a single group to a hypothetical median. Prism distinguishes from the more common two sample test by calling that the Wilcoxon matched pairs test. N.B.
Wilcoxon rank-sum charts based on the Wilcoxon rank-sum test [3] - used to monitor location parameter of a process Control charts based on precedence or excedance statistic Shewhart-Lepage chart based on the Lepage test [ 4 ] - used to monitor both location and scale parameters of a process simultaneously in a single chart