In a two-factor ANOVA analysis,the sum of squares due to both factors,the interaction sum of squares and the within sum of squares must add up to the total sum of squares.

Question

Quizplus · Accepted Answer

This is true, as the total variation in the data can be partitioned into variation due to the different factors being tested (between-group variation) and variation within each group (within-group variation). The sum of squares due to both factors (also called the main effects) and the interaction sum of squares represent the between-group variation, while the within sum of squares represents the within-group variation. These three components must add up to the total sum of squares in the data.

In a Two-Factor ANOVA Analysis,the Sum of Squares Due to Both