Title

Multigraph Representations of Hierarchical Loglinear Models

Document Type

Article

Publication Date

1996

Abstract

We introduce a notion of generator multigraph as an alternative to interaction graphs for the study of hierarchical loglinear models. Generator multigraphs are defined directly from the generator class of the model and are shown to be natural for recognizing decomposable models, obtaining maximum likelihood estimators, and finding conditional independencies in a model. The graph theory involved focuses on maximum spanning trees and edge cutsets (rather than on chordal graphs and minimal vertex separators as with interaction graphs).

DOI

10.1016/0378-3758(95)00140-9

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