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A Note on Collapsibility in DAG Models of Contingency Tables

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  • SUNG‐HO KIM
  • SEONG‐HO KIM

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.

Suggested Citation

  • Sung‐Ho Kim & Seong‐Ho Kim, 2006. "A Note on Collapsibility in DAG Models of Contingency Tables," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 33(3), pages 575-590, September.
    • Handle: RePEc:bla:scjsta:v:33:y:2006:i:3:p:575-590
    DOI: 10.1111/j.1467-9469.2005.00490.x
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    Cited by:

    1. Xianchao Xie & Zhi Geng, 2009. "Collapsibility for Directed Acyclic Graphs," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 36(2), pages 185-203, June.
    2. Binghui Liu & Jianhua Guo, 2013. "Collapsibility of Conditional Graphical Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 40(2), pages 191-203, June.

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