Correction of correlations diminished by range restriction
is a commonly suggested psychometric technique.
Such corrections may be appropriate in applied
settings, such as educational or personnel selection, or
in more theoretical applications, such as meta-analysis.
However, an important limitation on the practice
of range restriction corrections exists-an estimate of
the unrestricted population variance is required. This
article outlines and examines the accuracy of a method
for estimating the unrestricted variance of a variable
from the restricted sample itself. This method is based
on the observation that it is possible to table a function
of the truncated normal distribution that will allow
the extent or point of truncation to be estimated
(Cohen, 1959). The correlation of the truncated variable
with other variables may then be corrected by
standard restriction of range formulas. The method
also allows for correction of the mean of the restricted
Alexander, Ralph A, Alliger, George M & Hanges, Paul J. (1984). Correcting for range restriction when the population variance is unknown. Applied Psychological Measurement, 8, 431-437. doi:10.1177/014662168400800407
Alexander, Ralph A.; Alliger, George M.; Hanges, Paul J..
Correcting for range restriction when the population variance is unknown.
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