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Article: Three mahalanobis distances and their role in assessing unidimensionality

TitleThree mahalanobis distances and their role in assessing unidimensionality
Authors
Issue Date2004
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, 2004, v. 57 n. 1, p. 151-165 How to Cite?
AbstractUnidimensionality is the hallmark psychometric feature of a well-constructed measurement scale. However, in determining the degree to which a set of items form a unidimensional scale, aberrant item response patterns may distort our investigations. For example, aberrant response patterns may adversely impact inter-item covariances which, in turn, can distort estimates of a scale's dimensionality and reliability. In this study, we investigate and compare the utility of three Mahalanobis distance (M-distance) measures in identifying and downweighting aberrant item response patterns. Our findings indicated that a residual-based M-distance measure had the best properties. Specifically, response patterns having greater residual-based M-distances were responsible for observed violations of unidimensionality. When these response patterns were properly downweighted according to this M-distance, the data fitted a one-factor model better and scale reliability increased. The procedures are illustrated using three real data sets.
Persistent Identifierhttp://hdl.handle.net/10722/82962
ISSN
2015 Impact Factor: 3.698
2015 SCImago Journal Rankings: 2.380
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorYuan, KHen_HK
dc.contributor.authorFung, WKen_HK
dc.contributor.authorReise, SPen_HK
dc.date.accessioned2010-09-06T08:35:23Z-
dc.date.available2010-09-06T08:35:23Z-
dc.date.issued2004en_HK
dc.identifier.citationBritish Journal Of Mathematical And Statistical Psychology, 2004, v. 57 n. 1, p. 151-165en_HK
dc.identifier.issn0007-1102en_HK
dc.identifier.urihttp://hdl.handle.net/10722/82962-
dc.description.abstractUnidimensionality is the hallmark psychometric feature of a well-constructed measurement scale. However, in determining the degree to which a set of items form a unidimensional scale, aberrant item response patterns may distort our investigations. For example, aberrant response patterns may adversely impact inter-item covariances which, in turn, can distort estimates of a scale's dimensionality and reliability. In this study, we investigate and compare the utility of three Mahalanobis distance (M-distance) measures in identifying and downweighting aberrant item response patterns. Our findings indicated that a residual-based M-distance measure had the best properties. Specifically, response patterns having greater residual-based M-distances were responsible for observed violations of unidimensionality. When these response patterns were properly downweighted according to this M-distance, the data fitted a one-factor model better and scale reliability increased. The procedures are illustrated using three real data sets.en_HK
dc.languageengen_HK
dc.publisherThe British Psychological Society. The Journal's web site is located at http://www.bps.org.uk/publications/jMS_1.cfmen_HK
dc.relation.ispartofBritish Journal of Mathematical and Statistical Psychologyen_HK
dc.titleThree mahalanobis distances and their role in assessing unidimensionalityen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0007-1102&volume=57&spage=151&epage=165&date=2004&atitle=Three+mahalanobis-distances+and+their+role+in+assessing+unidimensionalityen_HK
dc.identifier.emailFung, WK: wingfung@hku.hken_HK
dc.identifier.authorityFung, WK=rp00696en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1348/000711004849231en_HK
dc.identifier.pmid15171805-
dc.identifier.scopuseid_2-s2.0-2642511488en_HK
dc.identifier.hkuros90682en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-2642511488&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume57en_HK
dc.identifier.issue1en_HK
dc.identifier.spage151en_HK
dc.identifier.epage165en_HK
dc.identifier.isiWOS:000221754500008-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridYuan, KH=15732324800en_HK
dc.identifier.scopusauthoridFung, WK=13310399400en_HK
dc.identifier.scopusauthoridReise, SP=7004178887en_HK

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