11 research outputs found

    A Note on Collapsibility in DAG Models of Contingency Tables

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    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..
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