The degrees of freedom for the error in a two-factor between-subjects analysis of variance are given by.
A)N - 1
B)(a - 1)(b - 1)
C)ab(nAB - 1)
D)ab(nAB + 1)

Question

Quizplus · Accepted Answer

The degrees of freedom for the error term in a two-factor between-subjects ANOVA are calculated as follows: DFE = N - k, where N = total number of observations and k = total number of parameters estimated. In a two-factor design, k includes the main effects of each factor, the interaction effect, and the error term. For the error term, we estimate a separate variance for each cell of the design, and so the number of parameters estimated is the product of the number of levels of each factor minus one (i.e., a-1 and b-1), multiplied by the total number of participants minus one (i.e., nAB-1). Therefore, the correct formula for DFE is (a-1)(b-1)(nAB-1).

The Degrees of Freedom for the Error in a Two-Factor