In a 2 × 2 analysis of variance,the basis for estimating the numerator of the F ratio for the column effects is
A)the variance among the four cell means.
B)the variance between the two column marginal means.
C)the variance between the two row marginal means.
D)the variance between the means of the two diagonals.

Question

Quizplus · Accepted Answer

In a 2 × 2 analysis of variance, the numerator of the F ratio for the column effects is based on the variance between the two column marginal means. This is because the column variable is the between-subjects factor, and we are interested in testing how much variability in the dependent variable is accounted for by differences between the two groups (columns). Therefore, we compare the variance between the two column marginal means to the within-group variance (based on the variance among the four cell means) to determine if there is a significant difference between the columns.

In a 2 × 2 Analysis of Variance,the Basis for Estimating