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The manifest association structure of the single-factor model: insights from partial correlations

The manifest association structure of the single-factor model: insights from partial correlations
The manifest association structure of the single-factor model: insights from partial correlations
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.
anti-image correlation matrix, elliptical tetrahedron, factor analysis, factor partial correlation, manifest partial correlation
0033-3123
655-670
Salgueiro, Maria de Fátima
b6ea9210-a0a1-4507-ab7a-f2f64f62c9a4
Smith, Peter W.F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
McDonald, John W.
d3a5510c-45f2-4e9c-acec-a88f5a73bd31
Salgueiro, Maria de Fátima
b6ea9210-a0a1-4507-ab7a-f2f64f62c9a4
Smith, Peter W.F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
McDonald, John W.
d3a5510c-45f2-4e9c-acec-a88f5a73bd31

Salgueiro, Maria de Fátima, Smith, Peter W.F. and McDonald, John W. (2008) The manifest association structure of the single-factor model: insights from partial correlations. Psychometrika, 72 (4), 655-670. (doi:10.1007/s11336-007-9037-9).

Record type: Article

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.

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More information

Published date: 23 January 2008
Keywords: anti-image correlation matrix, elliptical tetrahedron, factor analysis, factor partial correlation, manifest partial correlation
Organisations: Social Statistics

Identifiers

Local EPrints ID: 51834
URI: http://eprints.soton.ac.uk/id/eprint/51834
ISSN: 0033-3123
PURE UUID: df0f0df7-dd65-4b3a-9b8b-3e4a1d23cb87
ORCID for Peter W.F. Smith: ORCID iD orcid.org/0000-0003-4423-5410

Catalogue record

Date deposited: 03 Jun 2008
Last modified: 16 Mar 2024 02:42

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Contributors

Author: Maria de Fátima Salgueiro
Author: John W. McDonald

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