Wilcoxon Signed-Rank (simplif.)

W = Σ ranks+.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

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Formula

Wilcoxon

About this calculator

The Wilcoxon Signed-Rank Calculator is a simple tool for calculating the Wilcoxon Signed-Rank statistical test, which is used to compare means of related samples.

The test is based on the idea that the differences between observations in a sample and its mean are classified in terms of their sign (positive or negative).

The formula used is simple: W = Σ ranks+, where W is the value of the test statistic, and ranks+ represents the sum of the positive rankings.

This calculator is useful in cases where one wants to compare means of related samples, such as in studies of treatment effects or in comparisons of changes in measures of the same group.

Frequently asked questions

What is the Wilcoxon Signed-Rank test?

The Wilcoxon Signed-Rank test is a statistical test used to compare means of related samples. It is a useful tool in studies of treatment effects or in comparisons of changes in measures of the same group.

When to use the Wilcoxon Signed-Rank Calculator?

Use the Wilcoxon Signed-Rank Calculator when you need to compare means of related samples, such as in studies of treatment effects or in comparisons of changes in measures of the same group.

How to interpret the results?

The results indicate the probability that the differences between the samples are random. If the probability is low, it is possible to reject the null hypothesis and conclude that the differences are statistically significant.

What is the value of W?

The value of W is the test statistic that indicates the magnitude of the differences between the samples. A low value of W indicates that the differences are statistically significant.

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