I' conducting a Normality Test for a numerical variable (level of a substance in blood) in a sample of 368 subjects.
As I will need to run analysis of covariance (ANCOVA) and partial correlations, I find myself a little bit in doubt with this result. According to the p value of the Kolmogorov-Smirnov (0.200), my variable has a normal distibution (while according for Shapiro-Wilk it hasn't). Anyway, I'm wondering what "This is a lower bound of true significance" means, referring to the p = 0.200. Should I care about it? To note, histogram, skewness and kurtosis suggest a normal distribution of the data. Outliers have been excluded with the z score method (>3). If I transform the values in log10, the distribution results non/normal.
Thank you in advance for your replies!