Answer
See explanation
Work Step by Step
1. Independence of observations
The samples or groups must be independent of each other.
No observation in one group should influence an observation in another group.
2. Normality
The dependent variable should be approximately normally distributed within each group.
For large samples, ANOVA is fairly robust to violations of normality due to the Central Limit Theorem.
3. Homogeneity of variances (Homoscedasticity)
The variance of the dependent variable should be roughly equal across all groups.
Can be tested using Levene’s test or Bartlett’s test.
4. Random sampling
The data should come from randomly selected samples from the population.
5. Dependent variable is continuous
ANOVA assumes the dependent variable is measured on an interval or ratio scale.
The independent variable(s) are categorical.
