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Connections between single-factor analysis and graphical Gaussian models

Salguiero, Maria de Fátima, Smith, Peter W. F. and McDonald, John W. (2006) Connections between single-factor analysis and graphical Gaussian models , Southampton, UK Southampton Statistical Sciences Research Institute 13pp. (S3RI Methodology Working Papers, M06/13).

Record type: Monograph (Working Paper)


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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Published date: 2 October 2006


Local EPrints ID: 41799
PURE UUID: 851c3cfe-0ee6-40bf-9f88-017e3314f405
ORCID for Peter W. F. Smith: ORCID iD

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Date deposited: 02 Oct 2006
Last modified: 17 Jul 2017 15:27

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

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