Which of the following is(are) not true? A) SS_tot = SS_treat + SS_error B) df_tot = df_treat + df_error C) MS_tot = MS_treat + MS_error D) all of the descriptive alternatives are correct.

Question

Quizplus · Accepted Answer

The correct relationship for mean squares (MSS) in the context of ANOVA (Analysis of Variance) is not additive as stated in option C. Instead, the total sum of squares (SS) is divided by its respective degrees of freedom (df) to obtain the mean square (MS), making the formula in C incorrect. The total sum of squares is indeed the sum of the treatment sum of squares and the error sum of squares (A), and the total degrees of freedom is the sum of the treatment degrees of freedom and the error degrees of freedom (B), but the mean square for the total is not simply the sum of the mean squares for treatment and error.

Which of the Following Is(are) Not True