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Connections Between Graphical Gaussian Models and Factor Analysis

delete2010-01-29
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PRE
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M
Maria Salgueiro *
P
Peter Smith
J
John W. McDonald
DOI:10.1080/00273170903504851delete
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Abstract

Abstract

En 中文
Connections between graphical Gaussian models and classical single-factor models are obtained by parameterizing the single-factor model as a graphical Gaussian model. Models are represented by independence graphs, and associations between each manifest variable and the latent factor are measured by factor partial correlations. Power calculations for the single-factor graphical Gaussian model are facilitated by expressing the manifest partial correlations as functions of the factor partial correlations. The power of selecting a graphical Gaussian model with an association structure between manifest variables compatible with a single-factor model is investigated. The results are illustrated using 2 examples: the 1st is a hypothetical factor model with parallel measures. The 2nd uses data from the British Household Panel Survey on job satisfaction.
Keywords:
SINGLE-FACTOR MODEL
TESTS
IDENTIFICATION
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Journal

M
Multivariate Behavioral Research
IF:
3.5
Papers:
1.8K
Citations:
9.4K

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U
university of southampton
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Papers: 3.2W
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I
instituto universitario de lisboa
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