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- Publisher Website: 10.1348/000711004849231
- Scopus: eid_2-s2.0-2642511488
- PMID: 15171805
- WOS: WOS:000221754500008
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Article: Three mahalanobis distances and their role in assessing unidimensionality
Title | Three mahalanobis distances and their role in assessing unidimensionality |
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Authors | |
Issue Date | 2004 |
Publisher | The 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? |
Abstract | Unidimensionality 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 Identifier | http://hdl.handle.net/10722/82962 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 1.735 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yuan, KH | en_HK |
dc.contributor.author | Fung, WK | en_HK |
dc.contributor.author | Reise, SP | en_HK |
dc.date.accessioned | 2010-09-06T08:35:23Z | - |
dc.date.available | 2010-09-06T08:35:23Z | - |
dc.date.issued | 2004 | en_HK |
dc.identifier.citation | British Journal Of Mathematical And Statistical Psychology, 2004, v. 57 n. 1, p. 151-165 | en_HK |
dc.identifier.issn | 0007-1102 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/82962 | - |
dc.description.abstract | Unidimensionality 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.language | eng | en_HK |
dc.publisher | The British Psychological Society. The Journal's web site is located at http://www.bps.org.uk/publications/jMS_1.cfm | en_HK |
dc.relation.ispartof | British Journal of Mathematical and Statistical Psychology | en_HK |
dc.title | Three mahalanobis distances and their role in assessing unidimensionality | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+unidimensionality | en_HK |
dc.identifier.email | Fung, WK: wingfung@hku.hk | en_HK |
dc.identifier.authority | Fung, WK=rp00696 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1348/000711004849231 | en_HK |
dc.identifier.pmid | 15171805 | - |
dc.identifier.scopus | eid_2-s2.0-2642511488 | en_HK |
dc.identifier.hkuros | 90682 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-2642511488&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 57 | en_HK |
dc.identifier.issue | 1 | en_HK |
dc.identifier.spage | 151 | en_HK |
dc.identifier.epage | 165 | en_HK |
dc.identifier.isi | WOS:000221754500008 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Yuan, KH=15732324800 | en_HK |
dc.identifier.scopusauthorid | Fung, WK=13310399400 | en_HK |
dc.identifier.scopusauthorid | Reise, SP=7004178887 | en_HK |
dc.identifier.issnl | 0007-1102 | - |