Partial Correlation

For Three Intercorrelated Variables:
First-Order Partial Correlations

The logic and computational
details of partial correlation
are described in Subchapter 3a
of Concepts and Applications.

Given three overlapping correlation coefficients
r_XY r_XZ and r_YZ
this page will calculate the first-order partial correlations
r_XY.Z r_XZ.Y and r_YZ.X

To proceed, enter the values of r_XY , r_XZ , and r_YZ into the designated cells below, then click the «Calculate» button. A negative value of r should be preceded by a minus sign: e.g., -.76. Do not enter a plus sign; all entered values are assumed to be positive unless preceded by "-". Values of r² will calculated and entered automatically.

If you enter the value of N (providing N>6), the program will also calculate the values of t for the partial correlations (df=N—3) along with the associated two-tailed probability values.

Original Correlations

	r	r²
XY
XZ
YZ

1st Order Partial Correlations

	r	r²	t	P
XY.Z
XZ.Y
YZ.X
P values are non-directional (two-tailed)

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