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The sum of squares within groups ($$SS_W$$) is an intermediate calculation in an analysis of variance that represents the total variation based on the differences among the individual scores within each specific group. This value must be computed as a prerequisite step before calculating the mean squares within groups.

Sum of Squares Within Groups

The mean squares within groups ($$MS_W$$) is an estimate of population variance based on the differences among the individual scores within each group in an analysis of variance. It is calculated by dividing the sum of squares within groups by the within-groups degrees of freedom, and it serves as the denominator for the $$F$$ statistic.

Mean Squares Within Groups

In an analysis of variance, what does the sum of squares within groups ($$SS_W$$) represent?

In an analysis of variance, the sum of squares within groups ($$SS_W$$) is calculated by measuring how far each individual participant's score deviates from the overall grand mean of all participants combined.

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