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The Robustness of the Usual Correction for Restriction in Range Due to Explicit Selection

Published online by Cambridge University Press:  01 January 2025

D. J. Holmes
D. J. Holmes*
Affiliation:
University of Southampton
*
Requests for reprints should be sent to D. J. Holmes (Experimental Officer), Department of Social Statistics, University of Southampton, Southampton, S09 5NH, ENGLAND.
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Abstract

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.

Keywords

selectionrestriction in rangecorrelation coefficientsrobustness
Type
Original Paper
Information
Psychometrika , Volume 55 , Issue 1 , March 1990 , pp. 19 - 32
Copyright
Copyright © 1990 The Psychometric Society

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Footnotes

The author is grateful to D. Holt, C. J. Skinner and T. M. F. Smith (all University of Southampton) for their helpful comments. Research was initially supported by grant No. HR7152 from the Economic and Social Research Council.

References

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