Question

Partial Correlation vs. Semi-Partial Correlation. Identify three variables for which you may be interested calculating either a partial or semi-partial correlation coefficient. Compare/contrast these two types of analyses using your variables and research example of Anxiety Disorder. Which would you use and why?

Answer 1

Partial Correlation Mathematical Formula

In this case, r12.3 is the correlation between variables x1 and x2 keeping x3 constant. r₁3 is the correlation between variables x1 and x3.

Partial Correlation

Semipartial Correlation

Semipartial correlation measures the strength of linear relationship between variables X1 and X2 holding X3 constant for just X1 or just X2. It is also called part correlation.

Semipartial Correlation

Examples

1. Relationship between demand of coffee and tea keeping prices of tea controlled.
2. Relationship between GMAT score and number of hours studied keeping SAT score constant.
3. Relationship between weight and number of meals intake while controlling age.

Difference between Partial and Semipartial Correlation

Partial correlation holds variable X3 constant for both the other two variables. Whereas, Semipartial correlation holds variable X3 for only one variable (either X1 or X2). Hence, it is called 'semi'partial.

So, partial correlation is always better.

Thank you.

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