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The Manifest Association Structure of the Single-Factor Model: Insights from Partial Correlations

Published online by Cambridge University Press:  01 January 2025

Maria de Fátima Salgueiro ,
Peter W. F. Smith  and
John W. McDonald
Maria de Fátima Salgueiro*
Affiliation:
ISCTE Business School
Peter W. F. Smith
Affiliation:
University of Southampton
John W. McDonald
Affiliation:
University of Southampton
*
Requests for reprints should be sent to Maria de Fátima Salgueiro, Departamento Métodos Quantitativos, ISCTE Business School, Lisboa, Portugal. E-mail: fatima.salgueiro@iscte.pt
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Abstract

The association structure between manifest variables arising from the single-factor model is investigated using partial correlations. The additional insights to the practitioner provided by partial correlations for detecting a single-factor model are discussed. The parameter space for the partial correlations is presented, as are the patterns of signs in a matrix containing the partial correlations that are not compatible with a single-factor model.

Keywords

anti-image correlation matrixelliptical tetrahedronfactor analysisfactor partial correlationmanifest partial correlation
Type
Theory and Methods
Information
Psychometrika , Volume 73 , Issue 4 , December 2008 , pp. 665 - 670
Copyright
Copyright © 2007 The Psychometric Society

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Footnotes

The research of the first author was supported by the Fundaçāo para a Ciência e a Tecnologia and by the Southampton Statistical Sciences Research Institute.

The authors thank the Editor, the Associate Editor and three Reviewers for their constructive comments which helped to improve the paper.

References

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