Discussion
If Y is dependent and X2 and X3 are independent variables, then r12.3 measures the following :
Answer: D
\(r_{12.3}\) measures the partial correlation between Y and X2.
With Y labelled 1, X2 labelled 2 and X3 labelled 3, the subscripts before the dot name the two variables being correlated, and those after the dot are held constant. So \(r_{12.3}\) is the correlation between Y and X2 after removing the linear influence of X3 from both.
The simple correlation between Y and X2 is \(r_{12}\), without the dot. The partial correlation between Y and X3 would be \(r_{13.2}\), and X2 with X3 would be \(r_{23}\).
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