Linked from
The 28 pages that link to Analysis of variance, each with the reason it gives.
Null hypothesisRelated: Its standard omnibus null states that all group means are equal.
Sample meanRelated: It evaluates differences among sample means relative to within-group variation.
BiometricsRelated: It separates group differences from within-group biological variation.
Factorial experimentRelated: ANOVA commonly tests main and interaction effects in factorial data.