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Markov fields and log-linear interaction models for contingency tables

Abstract:

We use a close connection between the theory of Markov fields and that of log-linear interaction models for contingency tables to define and investigate a new class of models for such tables, graphical models. These models are hierarchical models that can be represented by a simple, undirected graph on as many vertices as the dimension of the corresponding table. Further all these models can be given an interpretation in terms of conditional independence and the interpretation can be read dir...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
Flinders University of South Australia
Role:
Author
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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Oxford college:
Jesus College
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Author
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Institution:
University of Western Australia
Role:
Author
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Name:
Danish Natural Science Research Council
Publisher:
Institute of Mathematical Statistics
Journal:
Annals of Statistics More from this journal
Volume:
8
Issue:
3
Pages:
522-539
Publication date:
1980-05-01
ISSN:
00905364
Language:
English
Keywords:
Subjects:
UUID:
uuid:6325e60e-1301-4bda-8b78-ad3fee5786bf
Local pid:
ora:1954
Deposit date:
2008-05-20

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