Abstract
Abstract For testing normality with unknown parameters μ and σ 2 , extensive simulation studies have shown the superiority of the Shapiro–Wilk test and variants. The Shapiro–Francia test is a simplified version of the Shapiro–Wilk test, which uses the squared normal probability plot correlation as a test statistic. The Cramér–von Mises and Anderson–Darling tests with plug‐in estimators for μ and σ 2 perform slightly worse than the Shapiro–Wilk test.
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