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).


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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.

Item Type: Monograph (Working Paper)
Subjects: H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 41799
Accepted Date and Publication Date:
2 October 2006Made publicly available
Date Deposited: 02 Oct 2006
Last Modified: 31 Mar 2016 12:14

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