Question

4 multiple choice 1 point what does the between - group sum of squares measure? the sum of the squared deviations between each group mean and every other group mean the sum of the squared deviations between each individual observation and its group mean the sum of the squared deviations between each group mean and the mean across all groups the sum of the squared deviations between each individual observation and the mean across all groups

Explanation:

To determine what the between - group sum of squares measures, we analyze each option:

1. Option 1: The between - group sum of squares is not about deviations between each group mean and every other group mean. This description does not match the definition of between - group sum of squares.
2. Option 2: The sum of squared deviations between each individual observation and its group mean is the within - group sum of squares, not the between - group sum of squares.
3. Option 3: The between - group sum of squares (also known as the sum of squares between groups) measures the sum of the squared deviations between each group mean and the grand mean (the mean across all groups). This is the correct definition.
4. Option 4: The sum of squared deviations between each individual observation and the mean across all groups is the total sum of squares, not the between - group sum of squares.

Answer:

C. The sum of the squared deviations between each group mean and the mean across all groups