ANOVA is robust to violations of the equal-variance assumption as long as group sizes are equal.

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ANOVA is based on the assumption of equal variances across all groups (homoscedasticity). However, it is robust to violations of this assumption when group sizes are equal. When group sizes are unequal, the ANOVA results may be affected and alternative methods such as Welch's ANOVA or a non-parametric test may be more appropriate.

ANOVA Is Robust to Violations of the Equal-Variance Assumption as Long