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March, 1989 Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative
S. L. Lauritzen, N. Wermuth
Ann. Statist. 17(1): 31-57 (March, 1989). DOI: 10.1214/aos/1176347003

Abstract

We define and investigate classes of statistical models for the analysis of associations between variables, some of which are qualitative and some quantitative. In the cases where only one kind of variables is present, the models are well-known models for either contingency tables or covariance structures. We characterize the subclass of decomposable models where the statistical theory is especially simple. All models can be represented by a graph with one vertex for each variable. The vertices are possibly connected with arrows or lines corresponding to directional or symmetric associations being present. Pairs of vertices that are not connected are conditionally independent given some of the remaining variables according to specific rules.

Citation

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S. L. Lauritzen. N. Wermuth. "Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative." Ann. Statist. 17 (1) 31 - 57, March, 1989. https://doi.org/10.1214/aos/1176347003

Information

Published: March, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0669.62045
MathSciNet: MR981437
Digital Object Identifier: 10.1214/aos/1176347003

Subjects:
Primary: 62H99
Secondary: 62J99

Rights: Copyright © 1989 Institute of Mathematical Statistics

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Vol.17 • No. 1 • March, 1989
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