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 AxB interaction.Based on this information,how many levels of factor B were compared in the study?
A)1
B)2
C)3
D)Cannot be determined without additional information

Question

Quizplus · Accepted Answer

The degrees of freedom for the AxB interaction (df = 2,30) indicate that there are 3 levels of factor B. This is because the degrees of freedom for an interaction term are calculated by multiplying the degrees of freedom of the factors involved (dfA+1)*(dfB+1) - 1, where dfB = 2 suggests 3 levels of B (since df = number of levels - 1).

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