Tests for normalityTests 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.