Conditional symmetry models for three-way contingency tables
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peer reviewed
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Journal of Statistical Planning and Inference
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We generalize the classical conditional or triangular symmetry model for I x I contingency tables to three-way I x I x I tables with commensurable ordinal classification variables. The construction of the new family of models is such that the desirable property that connects conditional symmetry to complete symmetry and marginal homogeneity models in two-way tables is retained in three-way tables. Furthermore, connections between our proposed models obey a coherent structure. We provide maximum likelihood estimation for the new models which is illustrated with a real data example. (C) 2012 Elsevier B.V. All rights reserved.
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marginal homogeneity, ordinal variables, quasi-symmetry, symmetry, quasi-symmetry, marginal homogeneity, tests, statistics
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<Go to ISI>://000303556700016
http://ac.els-cdn.com/S0378375812000730/1-s2.0-S0378375812000730-main.pdf?_tid=c6ea0fd8ffe6d7ffb4c62a63b1703d42&acdnat=1338886913_5af1534ed94f2eea48bd42f0150ee0e9
http://ac.els-cdn.com/S0378375812000730/1-s2.0-S0378375812000730-main.pdf?_tid=c6ea0fd8ffe6d7ffb4c62a63b1703d42&acdnat=1338886913_5af1534ed94f2eea48bd42f0150ee0e9
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών