The sum of the squared differences between observed values and the group mean for a given set of observations is known as the ____.
A)within-group sum of squares
B)between-groups sum of squares
C)F-ratio
D)Y statistic

Question

Quizplus · Accepted Answer

The sum of the squared differences between observed values and the group mean is a measure of the variation within the groups, also known as the within-group sum of squares. This is often used in ANOVA (analysis of variance) to determine if there is a significant difference between the means of two or more groups. The between-groups sum of squares, on the other hand, measures the variation between the group means. The F-ratio is the ratio of between-groups variability to within-groups variability, which is used in hypothesis testing. The Y statistic is not a commonly used statistical term.

The Sum of the Squared Differences Between Observed Values and the Group