Skip to main content
Article
Multigraph Representations of Hierarchical Loglinear Models
Journal of Statistical Planning and Inference
  • Harry J. Khamis, Wright State University - Main Campus
  • Terry A. McKee
Document Type
Article
Publication Date
1-1-1996
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
Citation Information
Harry J. Khamis and Terry A. McKee. "Multigraph Representations of Hierarchical Loglinear Models" Journal of Statistical Planning and Inference Vol. 53 Iss. 1 (1996) p. 63 - 74 ISSN: 0378-3758
Available at: http://works.bepress.com/harry_khamis/119/