The sum of squares between in two-way analysis of variance is partitioned into three components: (1)variability due to the first independent variable, (2)variability due to the second independent variable,and (3)variability due to the interaction of the two independent variables.

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This is true according to the standard formulas and methods used in two-way analysis of variance. The total sum of squares can also be partitioned in the same way, and the degrees of freedom for each component can be calculated based on the sample size and number of levels in each variable. These components provide information about the main effects of each variable and how they interact with each other, which can be useful for understanding the factors that influence the outcome variable.

The Sum of Squares Between in Two-Way Analysis of Variance