A researcher compares differences in positivity between participants in a low-,middle-,or upper-middle-class family.If she observes 15 participants in each group,then what are the degrees of freedom for the one-way between-subjects ANOVA?
A) (2, 12)
B) (3, 43)
C) (2, 42)
D) (3, 12)

Question

Quizplus · Accepted Answer

The degrees of freedom for a one-way ANOVA are calculated as follows: df_between = k-1, where k is the number of groups; df_within = N-k, where N is the total number of participants. In this case, there are 3 groups (low, middle, upper-middle) so df_between = 3-1 = 2. There are 45 participants in total (15 per group), so df_within = 45-3 = 42. Therefore, the answer is (2, 42), which is option C.

A Researcher Compares Differences in Positivity Between Participants in a Low-,Middle-,Or