Dedicated Normality Tests & Visual Diagnostics

Build a practical normality diagnostic toolkit using Shapiro–Wilk, Anderson–Darling, Jarque–Bera and normal Q–Q plots. Work through statistic calculations, tail and skew patterns, calibration, power and reporting pitfalls. Prerequisites: distributions, skewness and kurtosis, hypothesis testing and continuous goodness of fit. Original scenarios and counterexamples connect diagnostic evidence to the analysis it is meant to support.

Further reading: NIST normality tests, NIST normal probability plots.