This work aimed to evaluate the performance of the multivariate normality test of Shapiro-Wilk implemented in R in the library mvnormtest and to compare it with the asymmetry and kurtosis normality test proposed by Mardia (1970, 1974, 1975) using Monte Carlo simulation. The multivariate normality test of Shapiro-Wilk is not recommended for regular use.
Shapiro-Wilk; asymmetry; kurtosis; power; type I error rate
