I have a data set that has 3 groups and a single variable. Under normal circumstances, a one-way ANOVA would be used for comparisons between my three groups. HOWEVER I ran a Shapiro-Wilk test for normality and Levine's test for homoegeinity and turns out my data is both: not normally distributed and heterogeneous.

What statistics should I run instead of a One-way ANOVA and what post-hoc test may be better?

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