Plain Answers to Several Questions about Association/Independence Structure in Complete/Incomplete Contingency Tables
Kamran Ghoreishi, Reza Meshkani · Journal of Statistical Research of Iran · 2013
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.