The robustness of the usual correction for restriction in range due to explicit selection
Psychometrika, 55, (1), . (doi:10.1007/BF02294740).
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Corrections for restriction in range due to explicit selection assume the linearity of regression and homoscedastic array variances. This paper develops a theoretical framework in which the effects of some common forms of violation of these assumptions on the estimation of the unrestricted correlation can be investigated. Simple expressions are derived for both the restricted and corrected correlations in terms of the target (unrestricted) correlation in these situations.
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