Mann-Whitney U Test Calculator

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Mann-Whitney U Test Calculator

This calculator performs the Mann-Whitney U test (also called Wilcoxon rank-sum test), which compares two independent groups to determine if their distributions differ.

Null hypothesis: The distributions of both groups are equal.

About the Mann-Whitney U Test

The Mann-Whitney U test is a nonparametric test that compares two independent groups. It's used when your data isn't normally distributed or when you have ordinal data.

How to interpret results:

  • U value: The test statistic - lower values indicate greater difference between groups
  • p-value: Probability that the observed difference occurred by chance
  • If p-value ≤ α: Reject null hypothesis (distributions are different)
  • If p-value > α: Fail to reject null hypothesis (no significant difference)

Note: This calculator uses a normal approximation for p-value calculation, which is appropriate for sample sizes > 20. For smaller samples, exact p-values should be used.

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