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Overall fit in covariance structure models

Two types of sample size effects

Bibliographic Data

ID7983167
AuthorsK A Bollen (0000-0002-6710-3800, University of North Carolina at Chapel Hill, corresponding author)
Year1990
Volume107
Issue2
Pages256-259
Publication date1990-03-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenuePsychological Bulletin (JOURNAL)
Journal identifiersISSN: 0033-2909 • E-ISSN: 1939-1455
PublisherAmerican Psychological Association (APA) (PUBLISHER)
DOI10.1037/0033-2909.107.2.256
OpenAlexW2000025407
LanguageEN
Citations received139
References cited11

A controversial area in covariance structure models is the assessment of overall model fit. Researchers have expressed concern over the influence of sample size on measures of fit. Many contradictory claims have been made regarding which fit statistics are affected by N. Part of the confusion is due to there being two types of sample size effects that are confounded. The first is whether N directly enters the calculation of a fit measure. The second is whether the means of the sampling distributions of a fit index are associated with sample size. I explain these types of sample size effects and illustrate them with the major structural equation fit indices. In addition, I examine the current debate on sample size influences in light of this distinction. Structural equation models, including confirmatory factor analyses, are becoming increasingly popular in psychology. Key to these procedures is the hypothesis that the population covariance matrix of observed variables is a function of the unknown free parameters of a model. Many measures of overall model fit have been proposed to assess the degree to which this hypothesis holds (e.g., Rentier B Bollen, 1986;Hoelter, 1983; Joreskog & Sorbom, 1986; Tucker & Lewis, 1973)

Analysis of covariance · Covariance · Econometrics · Sample size determination · Statistics · Behavioral Health and Interventions · Mathematics · Psychology · Psychometric Methodologies and Testing · Reliability and Agreement in Measurement

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Unique citing works139
Citations per year3,97
Citation span1991 - 2026 (36)
Citation velocitycurrent
Highly citedYes
Citation typesNeutral: 119

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