Correction of correlation coefficients that have arisen
from range restricted populations is commonly
suggested and practiced in research on testing and
measurement. Until recently, that research has operated
under two important limitations. First, the majority
of the research has dealt with range restriction on
one variable only, and second, the correction formulas
have assumed that the variance of the variable(s) in
the unrestricted population was known. This article
presents a method for estimating such corrections from
the data in the restricted sample and applies the
method to a recently developed approximation for restriction
on both and Y. The procedure is evaluated
and found to produce sufficiently accurate results to be
useful in many practical range restriction
Alexander, Ralph A, Hanges, Paul J & Alliger, George M. (1985). Correcting for restriction of range in both X and Y when the unrestricted variances are unknown. Applied Psychological Measurement, 9, 317-323. doi:10.1177/014662168500900310
Alexander, Ralph A.; Hanges, Paul J.; Alliger, George M..
Correcting for restriction of range in both X and Y when the unrestricted variances are unknown.
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