In an analysis of variance, the variability of the group means about a grand mean is calculated by:
A) squaring the sum of the within-group variance and between-group variance.
B) squaring the deviation of each score from its group mean and summing these scores.
C) squaring the deviation of each score from the grand mean and summing these squares.
D) squaring the deviation of each group mean from the grand mean, multiplying by the number of items in the group, and summing these scores.

Question

Quizplus · Accepted Answer

The correct method for calculating the variability of the group means about a grand mean in an analysis of variance involves squaring the deviation of each group mean from the grand mean, then multiplying by the number of items in each group, and finally summing these scores. This process is part of calculating the between-group variance, which measures how much the group means deviate from the overall mean (grand mean) of the data.

In an Analysis of Variance, the Variability of the Group