Samples size varies but ranges from 7-15. In that case, you have either found a counter-example or have made some sort of error. A 2-way ANOVA works for some of the variables which are normally distributed, however I'm not sure what test to use for the non-normally distributed ones. Perhaps someone has already done the research and found that this assumption was met. It is strange that such an important assumption is just assumed with no evidence. You mentioned that the research assumes homogeneity of variances. Real Statistics offers two alternative tests seeĥ. The situation is more difficult for two-factor ANOVA. With one-factor ANOVA, Welch’s ANOVA tends to be a good substitute when the homogeneity of variances assumption is not met. The following webpage may be useful in this caseĤ. If I understand correctly, you are conducting multiple two-factor ANOVAs. When you say that five variables violated the homogeneity of variances assumption, I assume that you mean that five of the 10 tests violated this assumption (since the test is not on individual variables).ģ. ANOVA tends to be pretty robust to violations of normality, but not to violations of homogeneity of variances.Ģ.
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