In a study with three levels of factor A,three levels of factor B,and 6 participants in each condition,the df for the interaction of A x B would be
A)9.
B)6.
C)4.
D)3.

Question

Quizplus · Accepted Answer

The df for the interaction of A x B is calculated by multiplying the df for factor A by the df for factor B, which gives 3 x 2 = 6. As there are 6 participants in each condition, the total number of participants is 3 x 3 x 6 = 54. Therefore, the residual df is 54 - (3 x 3 x 6) = 36. Since the total df is equal to (number of participants - 1), the total df is 53. Thus, the df for the interaction of A x B is 53 - 6 - 36 = 11 - 6 = 5. However, the total df should not be used in this calculation as it includes the df for the interaction. The correct calculation is 6 x (6 - 1) = 30, which corresponds to 4 degrees of freedom in a one-way ANOVA table with 3 levels of factor A and 3 levels of factor B. Thus, the answer is C.

In a Study with Three Levels of Factor A,three Levels