Plain Answers to Several Questions about Association/Independence Structure in Complete/Incomplete Contingency Tables

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Abstract:

In this paper, we develop some results based on Relational model (Klimova, et al. 2012) which permits a decomposition of logarithm of expected cell frequencies under a log-linear type model. These results imply plain answers to several questions in the context of analyzing of contingency tables. Moreover, determination of design matrix and hypothesis-induced matrix of the model will be discussed. Properties of maximum likelihood estimators of the model parameters are obtained. Some new model residuals and an alternative symmetric chi-square criterion are given. Two real examples illustrate the method.

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Journal title

volume 10  issue 1

pages  63- 84

publication date 2013-09

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