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What are the key assumptions of ANOVA?

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normality of the data within each group, homogeneity of variance (equal variance) across groups, and independence of observations. 

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The key assumptions of ANOVA are: (1) Independence of observations, meaning data points across groups are unrelated; (2) Normality of residuals, where the data within each group should follow a normal distribution; and (3) Homogeneity of variances, ensuring that group variances are approximately equal. Violations of these assumptions can impact the validity of results, though ANOVA is robust to minor deviations with large sample sizes.

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