A Note on Collapsibility in DAG Models of Contingency Tables
Necessary and sufficient conditions for collapsibility of a directed acyclic graph (DAG) model for a contingency table are derived. By applying the conditions, we can easily check collapsibility over any variable in a given model either by using the joint probability distribution or by using the graph of the model structure. It is shown that collapsibility over a set of variables can be checked in a sequential manner. Furthermore, a DAG is compared with its moral graph in the context of collapsibility. Copyright 2006 Board of the Foundation of the Scandinavian Journal of Statistics..
Year of publication: |
2006
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Authors: | KIM, SUNG-HO ; KIM, SEONG-HO |
Published in: |
Scandinavian Journal of Statistics. - Danish Society for Theoretical Statistics, ISSN 0303-6898. - Vol. 33.2006, 3, p. 575-590
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Publisher: |
Danish Society for Theoretical Statistics Finnish Statistical Society Norwegian Statistical Association Swedish Statistical Association |
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