What are the ways to check the assumptions of an ANOVA test?

  • By calculating the F-statistic
  • By calculating the mean and variance of each group
  • By checking normality of residuals, homogeneity of variance, and independence of observations
  • By conducting post-hoc tests
The assumptions of an ANOVA test can be checked by: 1. Checking the normality of residuals using a normal probability plot or a statistical test like the Shapiro-Wilk test; 2. Checking the homogeneity of variance using a Levene's test or Bartlett's test; 3. Checking the independence of observations which usually pertains to the study design (random sampling, random assignment).
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