A Note on Collapsibility in DAG Models of Contingency Tables

Sung‐ho Kim and Seong‐ho Kim

Scandinavian Journal of Statistics, 2006, vol. 33, issue 3, 575-590

Abstract: Abstract. 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.

Date: 2006
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https://doi.org/10.1111/j.1467-9469.2005.00490.x

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