Biometrical Letters vol. 43(2), 2006, pp. 91-98


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LINEAR COLUMN-PARAMETER SYMMETRY MODEL FOR SQUARE
CONTINGENCY TABLES: APPLICATION TO DECAYED TEETH DATA

Sadao Tomizawa*, Nobuko Miyamoto, Mari Iwamoto

Department of Information Sciences, Faculty of Science and Technology,
Tokyo University of Science, Noda City, Chiba, 278-8510, Japan
*e-mail: tomizawa@is.noda.tus.ac.jp


For square contingency tables with ordered categories, this paper proposes a new asymmetry model which indicates that the odds for two symmetric cell probabilities is an exponential function of column values. Using this model, Japanese decayed teeth data are analyzed, and it is shown that the right (upper) teeth are worse than the left (lower) teeth.


Conditional symmetry, Decayed teeth, Model, Ordinal data, Square contingency table, Symmetry.