``Analysis of Variance.'' A Statistical Test for heterogeneity of Means by analysis of group Variances. To apply the test, assume random sampling of a variate with equal Variances, independent errors, and a Normal Distribution. Let be the number of Replicates (sets of identical observations) within each of Factor Levels (treatment groups), and be the th observation within Factor Level . Also assume that the ANOVA is ``balanced'' by restricting to be the same for each Factor Level.
Now define the sum of square terms
If the P-Value is small, reject the Null Hypothesis that all Means are the same for the different groups.
See also Factor Level, Replicate, Variance
© 1996-9 Eric W. Weisstein