The equation: SS(Total)= SS(A)+ SS(B)+ SS(AB)+ SSE applies to which ANOVA model?
A)One-way ANOVA with 2 treatments.
B)Two-factor ANOVA with interaction.
C)Two-factor ANOVA with no interaction.
D)None of these choices.

Question

Quizplus · Accepted Answer

The equation SS(Total)= SS(A)+ SS(B)+ SS(AB)+ SSE applies to a Two-factor ANOVA with interaction, where A and B are the two factors and AB is the interaction between them. This equation represents the decomposition of the total variation in the response variable into the sources of variation associated with the main effects of A and B, the interaction effect between A and B, and the unexplained or error variation. Therefore, the correct choice is B, which corresponds to a two-factor ANOVA model with interaction.

The Equation: SS(Total)= SS(A)+ SS(B)+ SS(AB)+ SSE Applies to Which