A factorial design has two levels of factor A and three levels of factor B with 6 participants in each condition.The F-ratio for the interaction of A x B would have _____ degrees of freedom.
A)2,35
B)2,30
C)6,35
D)6,30

Question

Quizplus · Accepted Answer

The degrees of freedom for the interaction term in a factorial design with two levels of factor A and three levels of factor B and 6 participants in each condition is calculated as follows:
DF for AxB = (a-1)(b-1)(N-1) = (2-1)(3-1)(6-1) = 2*2*5 = 20
The total degrees of freedom in this design would be (2+3+1)*(6-1) = 30.
Therefore, the F-ratio for the interaction of A x B would have 2,30 degrees of freedom, which is option B.

A Factorial Design Has Two Levels of Factor a and Three