The results of a two-factor analysis of variance produce df = 1,30 for the F-ratio for factor A,and df = 2,30 for the F-ratio for the A x B interaction.Based on this information,how many levels of factor B were compared in the study?
A)one
B)two
C)three
D)four

Question

The results of a two-factor analysis of variance produce df = 1,30 for the F-ratio for factor A,and df = 2,30 for the F-ratio for the A x B interaction.Based on this information,how many levels of factor B were compared in the study?​
A)​one
B)​two
C)​three
D)​four

Quizplus · Accepted Answer

The degrees of freedom for the A x B interaction (df = 2,30) indicate that there are 3 levels of factor B. The degrees of freedom for an interaction are calculated by multiplying the degrees of freedom of each factor minus one. Since the interaction's degrees of freedom are 2, it means (levels of B - 1) = 2, thus levels of B = 3.

The Results of a Two-Factor Analysis of Variance Produce Df