Geometric Descriptions for Hierarchical Log-Linear Models

by Chong Sun Hong, Hyun Jip Choi, and Min Gweon Oh .

Abstract: We suggest a geometrical method to describe the test results of the hierarchical log-linear models. In order to represent the relationship of a set of hierarchical log-linear models, some shapes of right-angled triangle, tetrahedron, and polyhedron are applied to draw. These geometric descriptions can be applied to the model selection method for given hierarchical models.

Key Words: Likelihood ratio statistics, Model selection, Polyhedron plot, Right-angled plot, Triangle plot

Authors:
Chong Sun Hong, cshong@skku.ac.kr
Hyun Jip Choi, hjchoi@stat.kyonggi.ac.kr
Min Gweon Oh, mgoh@iands.co.kr

Editor: Munsup Seoh , munsup.seoh@wright.edu

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