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Collapsibility of Conditional Graphical Models

Authors

  • BINGHUI LIU,

    1. Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics, Northeast Normal University and School of Mathematics, Jilin University
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  • JIANHUA GUO

    1. Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics, Northeast Normal University
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Jianhua Guo, Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun 130024, Jilin Province, China.
E-mail: jhguo@nenu.edu.cn

Abstract

Abstract.  In this paper, we consider two kinds of collapsibility, that is, the model-collapsibility and the estimate-collapsibility, of conditional graphical models for multidimensional contingency tables. We show that these two definitions are equivalent, and propose a sufficient and necessary condition for them in terms of the interaction graph, which allows the collapsibility to be characterized and judged intuitively and conveniently.

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