Author Question: If a is the number of levels of Factor A and b is the number of levels of Factor B, the degrees of ... (Read 92 times)

Medesa · **on:** Jun 19, 2018

If a is the number of levels of Factor A and b is the number of levels of Factor B, the degrees of freedom associated with the interaction of these two variables equals _____.

a. (a - 1)(b - 1) c. (a - 1) + (b - 1)
b. ab(n - 1) d. N - 1

Question 2

If a is the number of levels of Factor A and b is the number of levels of Factor B, the degrees of freedom for Factor B equals _____.

a. a - 1 c. (a - 1)(b - 1)
b. b - 1 d. N - 1

Ksanderson1296 · **Reply #1 on:** Jun 19, 2018

Answer to Question 1

A
The degrees of freedom for the interaction of a between subjects factorial ANOVA is (a - 1)(b - 1). N - 1 is the degrees of freedom for the sum of squares total, and ab(n - 1) is the degrees of freedom for the error term.

Answer to Question 2

B
The degrees of freedom for any main effect in a factorial ANOVA is the number of levels of that variable minus 1.