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 is calculated as (levels of A - 1) * (levels of B - 1). Given df = 2 for the AxB interaction and knowing there are 2 levels of A (since df for factor A is 1), we can solve for levels of B: (2-1) * (levels of B - 1) = 2, which gives levels of B = 3.

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