A researcher conducts a study in which k = 4 and n = 22 in each group.What are the degrees of freedom for the one-way between-subjects ANOVA?
A) (3, 84)
B) (4, 88)
C) (4, 22)
D) (3, 18)

Question

Quizplus · Accepted Answer

The degrees of freedom for a one-way between-subjects ANOVA are calculated as follows: For the numerator (between groups), it's k - 1, where k is the number of groups. Here, k = 4, so the degrees of freedom are 4 - 1 = 3. For the denominator (within groups), it's N - k, where N is the total number of observations and k is the number of groups. With n = 22 in each of the 4 groups, N = 4 * 22 = 88, so the degrees of freedom are 88 - 4 = 84. Therefore, the degrees of freedom for the ANOVA are (3, 84).

A Researcher Conducts a Study in Which K = 4