Hypothesis test

Shapiro-Wilk Normality Test

The Shapiro-Wilk test is a hypothesis test that checks whether a continuous variable was drawn from a normal distribution. It was introduced by Samuel Shapiro and Martin Wilk in 1965 and is regarded as one of the most powerful normality tests, recommended for sample sizes below 5000.

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Sources

  1. Shapiro, S. S. & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52(3-4), 591–611. DOI: 10.1093/biomet/52.3-4.591

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Referenced by

ScholarGateShapiro-Wilk test (Shapiro-Wilk normality test). Retrieved 2026-06-04 from https://scholargate.app/en/statistics/shapiro-wilk-test