The results of a two-factor analysis of variance produce df = 2,36 for the F-ratio for factor A and df = 2,36 for the F-ratio for factor B.What are the df values for the A x B interaction?
A)1, 36
B)2, 36
C)3, 36
D)4, 36

Question

The results of a two-factor analysis of variance produce df = 2,36 for the F-ratio for factor A and df = 2,36 for the F-ratio for factor B.What are the df values for the A x B interaction?​
A)1, 36​
B)​2, 36
C)​3, 36
D)​4, 36

Quizplus · Accepted Answer

The degrees of freedom for the A x B interaction is calculated by multiplying the degrees of freedom of factor A by the degrees of freedom of factor B. Since both factors have df = 2, the interaction df = 2 * 2 = 4 for the numerator. The denominator remains the same, so the correct answer is 4, 36.

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