Univariate and multivariate corrections for range restriction
were compared using Navy applicant scores
on the Armed Services Vocational Aptitude Battery
(ASVAB). Two Navy school ASVAB selector composites
were used separately and together to simulate three
selection situations for nine selection ratios (SRs). The
selectors then were used as predictors. Composite validities
(the ASVAB Mechanical Comprehension test was
the criterion) were corrected using the univariate and the
general multivariate formulas. In general, multivariate
corrections were more accurate than univariate corrections,
notably when the univariate explicit selection
variable was negatively skewed and correction violations
(linearity and homoscedasticity) did not offset each
other. Multivariate correction accuracy was attributed
to the inclusion of variables with adequate distributional
properties, the compensatory effects of regression
weights, and the related psychometric principle that
differentially weighting a large number of correlated
predictor variables has little impact on a multiple correlation.
Index terms: correction formulas, explicit
selection, incidental selection, multivariate correction
formulas, restriction in range, validation studies.
Held, Janet D & Foley, Paul P. (1994). Explanations for accuracy of the general multivariate formulas in correcting for range restriction. Applied Psychological Measurement, 18, 355-367. doi:10.1177/014662169401800406
Held, Janet D.; Foley, Paul P..
Explanations for accuracy of the general multivariate formulas in correcting for range restriction.
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