The Kruskal–Wallis test and the Friedman test are nonparametric tests which do not rely on an assumption of normality.
ðə kɹˈʌskəl wˈɔliz tˈɛst ænd ðə fɹˈiːdmən tˈɛst ɑːɹ nˌɑːnpˌæɹəmˈɛtɹɪk tˈɛsts wˌɪtʃ duːnˌɑːt ɹᵻlˈaɪ ˌɔn ɐn ɐsˈʌmpʃən ʌv noːɹmˈælᵻɾi.