Correction for range restriction: An expanded typology.
- 1 January 2000
- journal article
- Published by American Psychological Association (APA) in Journal of Applied Psychology
- Vol. 85 (1), 112-118
- https://doi.org/10.1037/0021-9010.85.1.112
Abstract
A common research problem is the estimation of the population correlation between x and y from an observed correlation rxy obtained from a sample that has been restricted because of some sample selection process. Methods of correcting sample correlations for range restriction in a limited set of conditions are well-known. An expanded classification scheme for range-restriction scenarios is developed that conceptualizes range-restriction scenarios from various combinations of the following facets: (a) the variable(s) on which selection occurs (x, y and/or a 3rd variable z), (b) whether unrestricted variances for the relevant variables are known, and (c) whether a 3rd variable, if involved, is measured or unmeasured. On the basis of these facets, the authors describe potential solutions for 11 different range-restriction scenarios and summarize research to date on these techniques.Keywords
This publication has 26 references indexed in Scilit:
- Determining the Appropriate Correction when the Type of Range Restriction is Unknown: Developing a Sample-Based ProcedureEducational and Psychological Measurement, 1991
- Correction Formulas for Correlations Restricted by Selection on an Unmeasured VariableJournal of Educational Measurement, 1990
- The restriction of range problem and nonignorable selection processes.Journal of Applied Psychology, 1987
- An analysis of correlations corrected for attenuation and range restriction.Journal of Applied Psychology, 1983
- Restriction of Range Corrections When Both Distribution and Selection Assumptions Are ViolatedApplied Psychological Measurement, 1983
- Large Sample Estimators for Standard Errors of Functions of Correlation CoefficientsApplied Psychological Measurement, 1980
- Accuracy of Corrections for Restriction in Range Due to Explicit Selection in Heteroscedastic and Nonlinear DistributionsEducational and Psychological Measurement, 1980
- An Empirical Study of the Accuracy of Corrections for Restriction in Range Due to Explicit SelectionApplied Psychological Measurement, 1979
- Correcting Correlations for Restrictions in Range Due to Selection on an Unmeasured VariableEducational and Psychological Measurement, 1972
- Range restriction problems in the use of self-selected groups for test validation.Psychological Bulletin, 1968