Tests for normality

Tests for normality of a distribution and the type of non-normality detected.

Test Purpose
Shapiro-Wilk Test if the distribution is normal.

A powerful test that detects most departures from normality when the sample size ≤ 5000.

Anderson-Darling Test if the distribution is normal.

A powerful test that detects most departures from normality.

Kolmogorov-Smirnov Test if the distribution is normal.

Mainly of historical interest and for educational use only.