Analysis of Variance (ANOVA) can be used to detect average group differences. In the context of [[experimental design]], ANOVA can be used to ask if there are differences with respect to the mean of a continuous variable across treatments/groups.
ANOVA answers the question "are there differences with respect to the mean of a continuous variable across treatment groups?" [[One-way ANOVA]] uses a single, discrete categorical variable, known as a [[factor]]. [[Two-way ANOVA]] uses two discrete, categorical variables. The related [[ANCOVA]] answers the question "are there differences with respect to the mean of a continuous variable across treatment groups while controlling for other continuous variables?"
[[F-test in ANOVA]]
[[ANOVA in R]]
[[planned comparisons]]
[[post-hoc comparison]]
[[familywise error rate]]
[[contrast]]
[[comparisons in one-way ANOVA]]
[[Tukey method]]
[[Bonferroni correction]]
[[power analysis in ANOVA]]
[[two-way ANOVA as linear regression model]]
[[interaction plot]]
[[two-way ANOVA with interaction term hypothesis testing]]