represents the effect of factor A and sampling error in the partitioned score of a subject in a two-factor between-subjects analysis of variance.
A) $X - \bar { X } _ { A }$
B) $\bar { X } _ { B } - \bar { X } _ { G }$
C) $\bar { X } _ { A } - \bar { X } _ { G }$
D) $X - \bar { X } _ { B }$

Question

represents the effect of factor A and sampling error in the partitioned score of a subject in a two-factor between-subjects analysis of variance.  
A) $X - \bar { X } _ { A }$ 
B) $\bar { X } _ { B } - \bar { X } _ { G }$ 
C) $\bar { X } _ { A } - \bar { X } _ { G }$ 
D) $X - \bar { X } _ { B }$

Quizplus · Accepted Answer

In a two-factor between-subjects ANOVA, the partitioned score for a subject is the sum of the grand mean, the effect of factor A, the effect of factor B, and the interaction between factors A and B, plus sampling error. Therefore, the effect of factor A and sampling error can be represented as the difference between the subject's score (X) and the grand mean of factor A ($\bar { X } _ { A }$), which is option C.

Represents the Effect of Factor a and Sampling Error in the Partitioned