If the results of a two-factor between-subjects analysis of variance were summarized as F(2, 84) = 3.70, p .05 for factor B, and F(2, 84) = 3.55, p

Question

If the results of a two-factor between-subjects analysis of variance were summarized as F(2, 84) = 3.70, p < .05 for factor A, F(1, 84) = 2.94, p > .05 for factor B, and
F(2, 84) = 3.55, p < .05 for the interaction of factors A and B, then you would know that
N =)
A)84
B)85
C)89
D)90

Quizplus · Accepted Answer

The sample size can be calculated as (n1 + n2 + n3) = N, where n1, n2, and n3 are the sample sizes for each level of factor A. Since F(2, 84) = 3.70, p < .05 for factor A, this indicates that there are three levels of factor A. Therefore, 2 + 1 + 2 = 5 levels in total. And, the degrees of freedom for factor A are (3-1) = 2 and for the interaction of factors A and B are (3-1) x (1-1) = 0. The remaining degrees of freedom (84-2-1-0 = 81) correspond to factor B. So, the total sample size is 5 + 81 = 86. However, the degrees of freedom are rounded down to the nearest integer, so it is possible that the sample size is actually 85. Since neither of those options is available, the closest option is 90.

If the Results of a Two-Factor Between-Subjects Analysis of Variance