analysis of variance

"Analysis of Variance." A statistical test for heterogeneity of means by analysis of group variances. ANOVA is implemented as ANOVA[data] in the Wolfram Language package ANOVAˋ . To apply the test, assume random sampling of a variate Y with equal variances, independent errors, and a normal distribution. Let n be the number of replicates (sets of identical observations) within each of K factor levels (treatment groups), and y_(i j) be the jth observation within factor level i. Also assume that the ANOVA is "balanced" by restricting n to be the same for each factor level.

factor level | least squares fitting | MANOVA | replicate | variance