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A Reliability Coefficient for Maximum Likelihood Factor Analysis

Bibliographic Data

ID23313562
AuthorsLedyard R Tucker (University of Illinois Urbana-Champaign), Charles Lewis (0000-0002-9151-8934, University of Illinois Urbana-Champaign)
Year1973
Volume38
Issue1
Pages1-10
Publication date1973-03-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePsychometrika (JOURNAL)
Journal identifiersISSN: 0033-3123 • E-ISSN: 1860-0980
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1007/bf02291170
OpenAlexW2014543370
LanguageEN
Citations received1.523
References cited9

Maximum likelihood factor analysis provides an effective method for estimation of factor matrices and a useful test statistic in the likelihood ratio for rejection of overly simple factor models. A reliability coefficient is proposed to indicate quality of representation of interrelations among attributes in a battery by a maximum likelihood factor analysis. Usually, for a large sample of individuals or objects, the likelihood ratio statistic could indicate that an otherwise acceptable factor model does not exactly represent the interrelations among the attributes for a population. The reliability coefficient could indicate a very close representation in this case and be a better indication as to whether to accept or reject the factor solution.

Econometrics · Factor (programming language) · Factor analysis · Likelihood function · Likelihood principle · Likelihood-ratio test · Maximum likelihood · Maximum likelihood sequence estimation · Population · Power (physics) · Quasi-maximum likelihood · Reliability (semiconductor) · Representation (politics) · Restricted maximum likelihood · Statistic · Statistics · Computer Science · Mathematics · Sensory Analysis and Statistical Methods

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Unique citing works1.523
Citations per year28,74
Citation span1973 - 2026 (54)
Citation velocitycurrent
Highly citedYes
Citation typesNeutral: 1.351

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