ABSTRACT
This chapter introduces models for contingency tables using the parametrization of the odds ratio parameters and the conditional distribution at a fixed condition. In comparison with the traditional log-linear model parametrization, the odds ratio parametrization is more interpretable. This chapter prepares readers for the introduction of the odds ratio function which unifies the model for categorical data and models for continuous and mixed data. This chapter also introduces basic methods for estimation and inference which will be extended to the semiparametric odds ratio model.
