Split models for contingency tables

Authors:
Søren Højsgaard
Affiliations:
Biometry Research Unit, Danish Institute of Agricultural Sciences Research Centre Foulum, DK-8830 Tjele, Denmark
Venue:
Computational Statistics & Data Analysis
Year:
2003

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Abstract

A framework for log-linear models with context specific independence structures, i.e. conditional independencies holding only for specific values of the conditioning variables is introduced. This framework is constituted by the class of split models. Also a software package named YGGDRASIL which is designed for statistical inference in split models is presented. Split models are an extension of graphical models for contingency tables. The treatment of split models includes estimation, representation and a Markov property for reading off independencies holding in a specific context. Two examples, including an illustration of the use of YGGDRASIL are presented.