Linear Dependencies Represented by Chain Graphs

Open Access

1 August 1993

journal article
Published by Institute of Mathematical Statistics in Statistical Science

Vol. 8 (3) , 204-218
https://doi.org/10.1214/ss/1177010887

Abstract

Various special linear structures connected with covariance matrices are reviewed and graphical methods for their representation introduced, involving in particular two different kinds of edge between the nodes representing the component variables. The distinction between decomposable and nondecomposable structures is emphasized. Empirical examples are described for the main possibilities with four component variables.

Keywords

CHAIN MODEL
CONDITIONAL INDEPENDENCE
COVARIANCE SELECTION
DECOMPOSABLE MODEL
LINEAR STRUCTURAL EQUATION
MULTIVARIATE ANALYSIS
PATH ANALYSIS

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