Which of the following is the sum of differences between the group mean and the grand mean summed over all groups for a given set of observations?
A) between-groups variance
B) total error variance
C) F-statistic
D) x² value

Question

Quizplus · Accepted Answer

The sum of differences between the group mean and the grand mean summed over all groups is referred to as the between-groups variance. In ANOVA, this variance is used to calculate the F-statistic, which is used to test the significance of the group means. Thus, (A) is the correct option. Total error variance refers to the sum of differences between the individual observations and their respective group mean, and x² value is typically used in contingency table analyses.

Which of the Following Is the Sum of Differences Between