MS_total = MS_rows + MS_columns + MS_interaction + MS_within-cells .

Question

Quizplus · Accepted Answer

The equation seems to refer to a breakdown of variance components in a two-way ANOVA, but it incorrectly suggests that the total sum of squares (SS) is equal to the sum of the rows SS, columns SS, interaction SS, and within-cells SS. The correct equation should involve the total sum of squares being decomposed into the sum of the between-groups sum of squares (which can include rows, columns, and interaction effects) and the within-cells (or within-groups) sum of squares, not the mean square (MS) values as implied by the notation.

MStotal = MSrows + MScolumns + MSinteraction + MSwithin-Cells

MS_total = MS_rows + MS_columns + MS_interaction + MS_within-Cells