Mann-Whitney U Test Calculator

Calculate the Mann-Whitney U Test with ease using our interactive online calculator. Ideal for statisticians and researchers seeking accurate non-parametric test results.

Full original guide (expanded)

Mann-Whitney U Test Calculator

This calculator provides an easy way to perform the Mann-Whitney U Test, a non-parametric test for assessing whether two independent samples come from the same distribution. Ideal for statisticians and researchers dealing with ordinal data or non-normally distributed interval data.

Input Data

Results

U Value: -
P Value: -

Data Source and Methodology

Calculations are based on the methods outlined in the scientific article from the Journal of Statistical Software. View Source.

The Formula Explained

The Mann-Whitney U test is calculated using the formula:

$$ U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1 $$

Glossary of Terms

  • U Value: The test statistic for the Mann-Whitney U Test.
  • P Value: The probability of observing the test results under the null hypothesis.

FAQ

What is the Mann-Whitney U Test?

A non-parametric test for comparing two independent samples.

When should I use it?

When your data does not meet the assumptions of a t-test.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1\]
U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1
Formula (extracted text)
$ U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1 $
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Mann-Whitney U Test Calculator

This calculator provides an easy way to perform the Mann-Whitney U Test, a non-parametric test for assessing whether two independent samples come from the same distribution. Ideal for statisticians and researchers dealing with ordinal data or non-normally distributed interval data.

Input Data

Results

U Value: -
P Value: -

Data Source and Methodology

Calculations are based on the methods outlined in the scientific article from the Journal of Statistical Software. View Source.

The Formula Explained

The Mann-Whitney U test is calculated using the formula:

$$ U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1 $$

Glossary of Terms

  • U Value: The test statistic for the Mann-Whitney U Test.
  • P Value: The probability of observing the test results under the null hypothesis.

FAQ

What is the Mann-Whitney U Test?

A non-parametric test for comparing two independent samples.

When should I use it?

When your data does not meet the assumptions of a t-test.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1\]
U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1
Formula (extracted text)
$ U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1 $
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Mann-Whitney U Test Calculator

This calculator provides an easy way to perform the Mann-Whitney U Test, a non-parametric test for assessing whether two independent samples come from the same distribution. Ideal for statisticians and researchers dealing with ordinal data or non-normally distributed interval data.

Input Data

Results

U Value: -
P Value: -

Data Source and Methodology

Calculations are based on the methods outlined in the scientific article from the Journal of Statistical Software. View Source.

The Formula Explained

The Mann-Whitney U test is calculated using the formula:

$$ U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1 $$

Glossary of Terms

  • U Value: The test statistic for the Mann-Whitney U Test.
  • P Value: The probability of observing the test results under the null hypothesis.

FAQ

What is the Mann-Whitney U Test?

A non-parametric test for comparing two independent samples.

When should I use it?

When your data does not meet the assumptions of a t-test.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1\]
U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1
Formula (extracted text)
$ U = n_1 \cdot n_2 + \frac{n_1(n_1+1)}{2} - R_1 $
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
Formulas

(Formulas preserved from original page content, if present.)

Version 0.1.0-draft
Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).