Two-Way Analysis of Variance In an ANOVA for a 2 X 2 factorial experiment with 8 subjects in each group, there would be ___ df in the numerator and ___ df in the denominator for the F test for the first factor.
A)1, 28
B)2, 28
C)3, 28
D)3, 31

Question

Quizplus · Accepted Answer

For the first factor in a 2x2 factorial experiment, there is 1 degree of freedom in the numerator because the first factor has 2 levels (2-1=1). In the denominator, the total number of subjects is 32 (8 subjects in each of the 4 groups), and the degrees of freedom for error is calculated as the total number of subjects minus the number of groups (32-4=28).

Two-Way Analysis of Variance in an ANOVA for a 2