First- and Second-Order Partial Correlations
For Four Intercorrelated Variables:

This page will calculate the first- and second-order partial correlations for four intercorrelated variables, W, X, Y, and Z.

To proceed, enter the values of rWX , rWY , and so forth, 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 a value of N (providing N>9), the program will also calculate the values of t along with the associated two-tailed probability values. For the original correlations, df=N2; for the first-order partials, df=N3; and for the second-order partials, df=N4.

[Optional]  N =

 Original Correlations
 r r2 t P WWX WY WZ XY XZ YZ
All P values are non-directional (two-tailed). 1st Order Partial Correlations
 r r2 t P WX.Y WX.Z WY.X WY.Z WZ.X WZ.Y XY.W XY.Z XZ.W XZ.Y YZ.W YZ.X

 2nd Order Partial Correlations
 r r2 t P WX.YZ WY.XZ WZ.XY XY.WZ XZ.WY YZ.WX

 Home Click this link only if you did not arrive here via the VassarStats main page.