The ANOVA F-test (of the null-hypothesis that all treatments have exactly the same effect) is recommended as a practical test, because of its robustness against many alternative distributions.
ðɪ ænˈoʊvə ˈɛftˈɛst ʌvðə nˈʌlhaɪpˈɑːθəsˌɪs ðæt ˈɔːl tɹˈiːtmənts hæv ɛɡzˈæktli ðə sˈeɪm ɪfˈɛkt ɪz ɹˌɛkəmˈɛndᵻd æz ɐ pɹˈæktɪkəl tˈɛst, bɪkˈʌz ʌv ɪts ɹoʊbˈʌstnəs ɐɡˈɛnst mˈɛni ɔːltˈɜːnətˌɪv dˌɪstɹɪbjˈuːʃənz.