Connections between single-factor analysis and graphical Gaussian models
Connections between single-factor analysis and graphical Gaussian models
The classical single-factor model is parametrized as a graphical Gaussian model. The relationship between the classical parametrization of the single-factor model and this alternative parametrization is derived. This relationship provides extra insights into the single-factor model, which facilitates power calculations. The overall power of the first step of a backward elimination model selection procedure to detect an association structure between manifest variables compatible with a single-factor model is investigated. The results are illustrated using a one-factor congeneric measurement model.
Southampton Statistical Sciences Research Institute, University of Southampton
Salguiero, Maria de Fátima
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Smith, Peter W. F.
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McDonald, John W.
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2 October 2006
Salguiero, Maria de Fátima
7e06dcdd-9601-4167-9bf3-8232991949a3
Smith, Peter W. F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
McDonald, John W.
9adae16e-e1e1-4ddf-bf4c-7231ee8c1c8e
Salguiero, Maria de Fátima, Smith, Peter W. F. and McDonald, John W.
(2006)
Connections between single-factor analysis and graphical Gaussian models
(S3RI Methodology Working Papers, M06/13)
Southampton, UK.
Southampton Statistical Sciences Research Institute, University of Southampton
13pp.
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Monograph
(Working Paper)
Abstract
The classical single-factor model is parametrized as a graphical Gaussian model. The relationship between the classical parametrization of the single-factor model and this alternative parametrization is derived. This relationship provides extra insights into the single-factor model, which facilitates power calculations. The overall power of the first step of a backward elimination model selection procedure to detect an association structure between manifest variables compatible with a single-factor model is investigated. The results are illustrated using a one-factor congeneric measurement model.
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41799-01.pdf
- Author's Original
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Published date: 2 October 2006
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Local EPrints ID: 41799
URI: http://eprints.soton.ac.uk/id/eprint/41799
PURE UUID: 851c3cfe-0ee6-40bf-9f88-017e3314f405
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Date deposited: 02 Oct 2006
Last modified: 16 Mar 2024 02:42
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Author:
Maria de Fátima Salguiero
Author:
John W. McDonald
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