# Definition of Wilcoxon test

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**Wilcoxon test**Definition from Science & Technology Dictionaries & Glossaries

Electronic Statistics Textbook

The Wilcoxon test is a nonparametric alternative to t-test for dependent samples . It is designed to test a hypothesis about the location (median) of a population distribution. It often involves the use of matched pairs, for example, "before" and "after" data, in which case it tests for a median difference of zero.

This procedure assumes that the variables under consideration were measured on a scale that allows the rank ordering of observations based on each variable (i.e., ordinal scale) and that allows rank ordering of the differences between variables (this type of scale is sometimes referred to as an ordered metric scale, see Coombs, 1950). For more details, see Siegel & Castellan, 1988. See also, Nonparametric Statistics .

This procedure assumes that the variables under consideration were measured on a scale that allows the rank ordering of observations based on each variable (i.e., ordinal scale) and that allows rank ordering of the differences between variables (this type of scale is sometimes referred to as an ordered metric scale, see Coombs, 1950). For more details, see Siegel & Castellan, 1988. See also, Nonparametric Statistics .

**Wilcoxon test**Definition from Encyclopedia Dictionaries & Glossaries

English Wikipedia - The Free Encyclopedia

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**Wilcoxon signed-rank test**is a non-parametric statistical hypothesis test used when comparing two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ (i.e. it is a paired difference test). It can be used as an alternative to the paired Student's t-test,*t*-test for matched pairs, or the*t*-test for dependent samples when the population cannot be assumed to be normally distributed.See more at Wikipedia.org... |

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