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Wilcoxon signed-rank test

statistics

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The Wilcoxon signed-rank test is a nonparametric statistical method used to test hypotheses about two populations. This test is applicable when no assumptions can be made about the form of the probability distributions for the populations. To use this test, each element in the sample must provide two paired data values, one from each population. Differences between these paired values are then analyzed to determine if a difference exists between the two populations. This differs from the Mann-Whitney-Wilcoxon test, which uses data from two independent samples. Nonparametric methods, like the Wilcoxon signed-rank test, are valuable when the assumptions required by parametric methods are questionable.1

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