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Mann-Whitney U Test Calculator (Wilcoxon Rank-Sum)

Statistics
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Performs a non-parametric test to compare differences between two independent groups when the assumption of normality is violated. It calculates the U statistic and associated p-value.

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How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Sample Size of Group 1 (n1), Sample Size of Group 2 (n2), and Sum of Ranks for Group 1 in the units shown.

Step 2

Read U Statistic for Group 1, U Statistic for Group 2, U Statistic (smaller of U1 and U2), and Z-Score (for large samples) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Small Samples

Sample Size of Group 1 (n1): 5; Sample Size of Group 2 (n2): 5; Sum of Ranks for Group 1: 30

U Statistic for Group 1: 10; U Statistic for Group 2: 15; U Statistic (smaller of U1 and U2): 10; Z-Score (for large samples): -0.5222329679

Equal Sample Sizes

Sample Size of Group 1 (n1): 10; Sample Size of Group 2 (n2): 10; Sum of Ranks for Group 1: 120

U Statistic for Group 1: 35; U Statistic for Group 2: 65; U Statistic (smaller of U1 and U2): 35; Z-Score (for large samples): -1.133893419

Unequal Sample Sizes

Sample Size of Group 1 (n1): 15; Sample Size of Group 2 (n2): 10; Sum of Ranks for Group 1: 180

U Statistic for Group 1: 90; U Statistic for Group 2: 60; U Statistic (smaller of U1 and U2): 60; Z-Score (for large samples): -0.8320502943

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