📜 Theorem, law or theory

Mann–Whitney U test

Prueba U de Mann-Whitney

Date
1947 · confidence high
Place
Ohio State University, Columbus, Ohio, United States
Credited to
Henry Mann and Donald Ransom Whitney
Field
Knowledge & symbols

What was discovered

Mann and Whitney published a rigorous analysis of a non-parametric test for comparing two independent samples, establishing its asymptotic normality and probability tables, which turned it into a practical alternative to the t-test when normality cannot be assumed.

Wilcoxon had proposed an equivalent rank-sum test in 1945, but with tables limited to small samples; Mann and Whitney gave it its full theoretical grounding and more general tables in 1947.

What it led to

  • The reference non-parametric test for comparing two groups
  • Widespread use in medicine, psychology and social science

Built on

  • Frank Wilcoxon's signed-rank and rank-sum tests (1945)

Links

Sources✓ verified 2026-09-28