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Article: Bootstrap standard error and confidence intervals for the correlations corrected for indirect range restriction

TitleBootstrap standard error and confidence intervals for the correlations corrected for indirect range restriction
Authors
Issue Date2011
PublisherThe British Psychological Society. The Journal's web site is located at http://www.bps.org.uk/publications/jMS_1.cfm
Citation
British Journal Of Mathematical And Statistical Psychology, 2011, v. 64 n. 3, p. 367-387 How to Cite?
AbstractThe standard Pearson correlation coefficient, r, is a biased estimator of the population correlation coefficient, ρ XY, when predictor X and criterion Y are indirectly range-restricted by a third variable Z (or S). Two correction algorithms, Thorndike's (1949) Case III, and Schmidt, Oh, and Le's (2006) Case IV, have been proposed to correct for the bias. However, to our knowledge, the two algorithms did not provide a procedure to estimate the associated standard error and confidence intervals. This paper suggests using the bootstrap procedure as an alternative. Two Monte Carlo simulations were conducted to systematically evaluate the empirical performance of the proposed bootstrap procedure. The results indicated that the bootstrap standard error and confidence intervals were generally accurate across simulation conditions (e.g., selection ratio, sample size). The proposed bootstrap procedure can provide a useful alternative for the estimation of the standard error and confidence intervals for the correlation corrected for indirect range restriction. ©2010 The British Psychological Society.
Persistent Identifierhttp://hdl.handle.net/10722/180516
ISSN
2015 Impact Factor: 3.698
2015 SCImago Journal Rankings: 2.380
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLi, JCHen_US
dc.contributor.authorChan, Wen_US
dc.contributor.authorCui, Yen_US
dc.date.accessioned2013-01-28T01:39:22Z-
dc.date.available2013-01-28T01:39:22Z-
dc.date.issued2011en_US
dc.identifier.citationBritish Journal Of Mathematical And Statistical Psychology, 2011, v. 64 n. 3, p. 367-387en_US
dc.identifier.issn0007-1102en_US
dc.identifier.urihttp://hdl.handle.net/10722/180516-
dc.description.abstractThe standard Pearson correlation coefficient, r, is a biased estimator of the population correlation coefficient, ρ XY, when predictor X and criterion Y are indirectly range-restricted by a third variable Z (or S). Two correction algorithms, Thorndike's (1949) Case III, and Schmidt, Oh, and Le's (2006) Case IV, have been proposed to correct for the bias. However, to our knowledge, the two algorithms did not provide a procedure to estimate the associated standard error and confidence intervals. This paper suggests using the bootstrap procedure as an alternative. Two Monte Carlo simulations were conducted to systematically evaluate the empirical performance of the proposed bootstrap procedure. The results indicated that the bootstrap standard error and confidence intervals were generally accurate across simulation conditions (e.g., selection ratio, sample size). The proposed bootstrap procedure can provide a useful alternative for the estimation of the standard error and confidence intervals for the correlation corrected for indirect range restriction. ©2010 The British Psychological Society.en_US
dc.languageengen_US
dc.publisherThe British Psychological Society. The Journal's web site is located at http://www.bps.org.uk/publications/jMS_1.cfmen_US
dc.relation.ispartofBritish Journal of Mathematical and Statistical Psychologyen_US
dc.subject.meshAlgorithmsen_US
dc.subject.meshBias (Epidemiology)en_US
dc.subject.meshComputer Simulation - Statistics & Numerical Dataen_US
dc.subject.meshConfidence Intervalsen_US
dc.subject.meshHumansen_US
dc.subject.meshModels, Statisticalen_US
dc.subject.meshMonte Carlo Methoden_US
dc.subject.meshPersonnel Selection - Statistics & Numerical Dataen_US
dc.subject.meshSample Sizeen_US
dc.titleBootstrap standard error and confidence intervals for the correlations corrected for indirect range restrictionen_US
dc.typeArticleen_US
dc.identifier.emailLi, JCH: lchjohn@hku.hken_US
dc.identifier.authorityLi, JCH=rp01709en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1348/2044-8317.002007en_US
dc.identifier.pmid21973092-
dc.identifier.scopuseid_2-s2.0-80053508787en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80053508787&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume64en_US
dc.identifier.issue3en_US
dc.identifier.spage367en_US
dc.identifier.epage387en_US
dc.identifier.isiWOS:000295963100001-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLi, JCH=36608611100en_US
dc.identifier.scopusauthoridChan, W=7403918160en_US
dc.identifier.scopusauthoridCui, Y=35208098100en_US

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