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Applications of standard error estimates in unrestricted factor analysis

Significance tests for factor loadings and correlations

Bibliographic Data

ID4420459
AuthorsRobert Cudeck (University of Minnesota), Lisa L O''Dell, Lisa L O'Dell
Year1994
Volume115
Issue3
Pages475-487
Publication date1994-01-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenuePsychological Bulletin (JOURNAL)
Journal identifiersISSN: 0033-2909 • E-ISSN: 1939-1455
PublisherAmerican Psychological Association (APA) (PUBLISHER)
DOI10.1037/0033-2909.115.3.475
PMID8016288
OpenAlexW2031999671
LanguageEN
Citations received64
References cited13

Estimates of standard errors of factor loadings and factor correlations in the unrestricted factor analysis model can be computed for oblique or orthogonal solutions under maximum likelihood. This information can be used to test individual coefficients for significance, to evaluate whether an orthogonal or oblique structure is most consistent with sample data, or to compute confidence intervals for single parameters or confidence regions for arbitrary groups of coefficients. Because the number of parameters estimated in factor analysis is approximately the product of number of variables multiplied by number of factors, a Bonferroni correction for the critical point of the individual test statistics is recommended to control the probability of a Type I error. Several examples are presented

Bonferroni correction · Confidence interval · Econometrics · Factor (programming language) · Factor analysis · Oblique case · Standard error · Statistical hypothesis testing · Statistics · Type I and type II errors · Advanced Statistical Modeling Techniques · Computer Science · Mathematics · Optimal Experimental Design Methods · Psychology · Psychometric Methodologies and Testing

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Unique citing works58
Citations per year2,37
Citation span1999 - 2026 (28)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 55

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