Correcting for Restriction of Range in Both X and Y When the Unrestricted Variances are Unknown
Open accessAbstract
Correction of correlation coefficients that have ari sen from range restricted populations is commonly suggested and practiced in research on testing and measurement. Until recently, that research has oper ated under two important limitations. First, the major ity of the research has dealt with range restriction on one variable only, and second, the correction formulas have assumed that the variance of the variable(s) in the unrestricted population was known. This article presents a method for estimating such corrections from the data in the restricted sample and applies the method to a recently developed approximation for re striction on both X and Y. The procedure is evaluated and found to produce sufficiently accurate results to be useful in many practical range restriction settings.
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Range restriction systematically attenuates observed correlations and regression coefficients relative to complete data.
“Range restriction, in turn, tends to systematically attenuate (reduce in absolute magnitude toward zero) the observed correlations and regression coefficients relative to complete data [25, 26].”
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Csárdi, G., Franks, A., Choi, D. S., Airoldi, E. M., & Drummond, D. A. (2015) · PLOS Genetics · doi:10.1371/journal.pgen.1005206 · Cited by 181 · see citing works
- Authors
- Alexander, R. A., Hanges, P. J., & Alliger, G. M.
- Affiliations
- University of Akron (US)
- ORCID
- Hanges, Paul J.
- Venue
- Applied Psychological Measurement
- Publisher
- SAGE Publications
- Published
- 1985-09
- Volume
- 9
- Issue
- 3
- Pages
- 317-323
- ISSN
- 0146-6216 (ISSN-L)
- 1552-3497
- OpenAlex
- W2005484341
- Cited by
- 10
- References
- 17
- Citations by year
- 2022: 1 · 2019: 1 · 2015: 1 · 2014: 1 · 2013: 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- green
- purl.umn.edu
- Locations
- Applied Psychological Measurement (publishedVersion)
- University of Minnesota Digital Conservancy (University of Minnesota) (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Multidisciplinary Science and Engineering Research
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Reliability and Agreement in Measurement
- Keywords
- range restriction, correlation corrections, restricted range, variance estimation, bivariate correlation, measurement error
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