Question

Which of the following equations is correct for partitioning a score in a one-factor between-subjects analysis of variance?

a. SSTotal=SSBetween+SSWithin
b. SSBetween=SSTotal+SSWithin
c. SSWithin=SSTotal+SSBetween
d. SSTotal=SSBetween−SSWithin
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Answer 1

The equation for partitioning a score in a one-factor between-subjects analysis of variance is SSTotal = SSBetween + SSWithin.

Step-by-step explanation:

The correct equation for partitioning a score in a one-factor between-subjects analysis of variance is SSTotal = SSBetween + SSWithin.

In this equation, SSTotal represents the total sum of squares, SSBetween represents the sum of squares between groups, and SSWithin represents the sum of squares within groups.

By using this equation, we can assess the variation between different samples (SSBetween) and the variation within each sample (SSWithin) to determine the overall distribution of scores in the analysis of variance.