If a is the number of levels of Factor A and b is the number of ...

[Medesa]

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]

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.

[Medesa]

Excellent

[abro1885]

TYSM