H. Aguinis et R. Whitehead, SAMPLING VARIANCE IN THE CORRELATION-COEFFICIENT UNDER INDIRECT RANGERESTRICTION - IMPLICATIONS FOR VALIDITY GENERALIZATION, Journal of applied psychology, 82(4), 1997, pp. 528-538
The authors conducted Monte Carlo simulations to investigate whether i
ndirect range restriction (IRR) on 2 variables X and Y increases the s
ampling error variability In the correlation coefficient between them.
The manipulated parameters were (a) IRR on X and Y (i.e., direct rest
riction on a third variable Z), (b) population correlations rho(XY), r
ho(XZ), and rho(YZ), and (c) sample size. IRR increased the sampling e
rror variance in r(XY) to values as high as 8.50% larger than the anal
ytically derived expected values. Thus, in the presence of IRR, validi
ty generalization users need to make theory-based decisions to ascerta
in whether the effects of IRR are artifactual or caused by situational
-specific moderating effects.