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Collapsibility of Conditional Graphical Models
Author(s) -
LIU BINGHUI,
GUO JIANHUA
Publication year - 2013
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/j.1467-9469.2012.00801.x
Subject(s) - graphical model , contingency table , mathematics , graph , graphical display , conditional independence , conditional expectation , econometrics , statistics , discrete mathematics , computer science , computer graphics (images)
. 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.