# Semi-partial correlation

From Wikiversity

(Redirected from Partial correlation)

In multiple linear regression, semi-partial correlations indicate the unique relation between a predictor (IV) and a response variable (DV).

## What do the areas mean?[edit]

This is a Venn diagram representing the variance and correlations involved in a multiple linear regression analysis.

Question 1: Which areas represent the semi-partial correlations between the IVs and DV?

Question 2: What do the other labelled areas represent?

Answer 1: a and c

Answer 2:

- a = semi-partial correlation between IV1 and DV (with the effect of IV2 removed)
- b = variance in the DV which is explained by both IV1 and IV2
- c = semi-partial correlation between IV2 and DV (with the effect of IV1 removed)
- d = variance in DV which is not explained by IV1 and IV2

## See also[edit]

- Correlation
- Multiple linear regression
- Partial correlation (Wikipedia)