Open Access
Translator Disclaimer
June, 1990 Marginalization and Collapsibility in Graphical Interaction Models
Morten Frydenberg
Ann. Statist. 18(2): 790-805 (June, 1990). DOI: 10.1214/aos/1176347626

Abstract

The behaviour of a graphical interaction model under marginalization is discussed. A graphical interaction model is called collapsible onto a set of variables if the class of marginal distributions is the same as that implied by the related subgraph. The necessary and sufficient condition for collapsibility is found and it is shown that collapsibility is equivalent to a range of other important statistical properties of the model.

Citation

Download Citation

Morten Frydenberg. "Marginalization and Collapsibility in Graphical Interaction Models." Ann. Statist. 18 (2) 790 - 805, June, 1990. https://doi.org/10.1214/aos/1176347626

Information

Published: June, 1990
First available in Project Euclid: 12 April 2007

zbMATH: 0725.62057
MathSciNet: MR1056337
Digital Object Identifier: 10.1214/aos/1176347626

Subjects:
Primary: 62H99
Secondary: 62J99

Rights: Copyright © 1990 Institute of Mathematical Statistics

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.18 • No. 2 • June, 1990
Back to Top