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The problem of equivalent models in applications of covariance structure analysis

Bibliographic Data

ID7983142
AuthorsRobert C Maccallum (The Ohio State University), Duane T Wegener (0000-0001-7639-4251, The Ohio State University), Bert N Uchino (0000-0002-3036-6164, The Ohio State University), Leandre R Fabrigar (The Ohio State University)
Year1993
Volume114
Issue1
Pages185-199
Publication date1993-01-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenuePsychological Bulletin (JOURNAL)
Journal identifiersISSN: 0033-2909 • E-ISSN: 1939-1455
PublisherAmerican Psychological Association (APA) (PUBLISHER)
DOI10.1037//0033-2909.114.1.185
PMID8346326
OpenAlexW4236723738
LanguageEN
Citations received237
References cited16

For any given covariance structure model, there will often be alternative models that are indistinguishable from the original model in terms of goodness of fit to data. The existence of such equivalent models is almost universally ignored in empirical studies. A study of 53 published applications showed that equivalent models exist routinely, often in large numbers. Detailed study of three applications showed that equivalent models may often offer substantively meaningful alternative explanations of data. The importance of the equivalent model phenomenon and recommendations for managing and confronting the problem in practice are discussed

Analysis of covariance · Covariance · Covariance function · Covariance intersection · Econometrics · Goodness of fit · Statistics · Advanced Statistical Methods and Models · Cognitive and developmental aspects of mathematical skills · Computer Science · Education, Achievement, and Giftedness · Mathematics · Psychology · Psychometric Methodologies and Testing

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Unique citing works220
Citations per year6,77
Citation span1991 - 2026 (36)
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Highly citedYes
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