The term $\bar { X } _ { A } - \bar { X } _ { G }$ is involved in the computation of SS in a one-factor between-subjects analysis of variance.
A)Total
B)A
C)Error
D)Within-groups

Question

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The term $\bar { X } _ { A } - \bar { X } _ { G }$ represents the difference between the group means in factor A, which is relevant in the computation of the between-groups sum of squares (SSA) in a one-factor ANOVA. Therefore, the best choice is B, which corresponds to the factor A effect (i.e., the effect of differences between the levels of factor A on the outcome variable). The other options are not directly related to this term. The total sum of squares (SST) involves the overall variance of the outcome variable regardless of group membership, the error sum of squares (SSE) represents the unexplained variance after accounting for the main effects and interactions, and the within-groups sum of squares (SSW) captures the variance within each group that is not attributable to the factor being tested.

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The Term $\bar { X } _ { A } - \bar { X } _ { G }$