The Shapiro-Wilk and Anderson-Darling tests are two powerful methods for assessing normality. Skewness and kurtosis are two important measures that describe the shape of a distribution in terms of its symmetry and tail behavior. Skewness measures the asymmetry of a distribution, while kurtosis measures the heaviness of its tails. Both skewness and kurtosis can be used to assess the normality of a distribution.