Juma C. answered 10/24/21
Mathematics Tutor specializing in Calculus, Linear algebra, Statistics
K-S test and Shapiro-Wilk test are the ideal tests for checking whether your data is normally distributed or not. If the results of the two tests concur then this clears any doubts. You can still perform linear mixed effect model to negate your claim but I believe the results should be the same. It's recommended to stick to the first two.