Ordinal Log-Linear Models for Contingency Tables

THE ANALYSIS OF CONTINGENCY TABLES Log - linear Poisson models for weighted numbers

Generalized log-linear models with random effects, with application to smoothing contingency tables

We define a class of generalized log-linear models with random effects. For a vector of Poisson or multinomial means l and matrices of constants C and A, the model has the form C log Al 1⁄4 Xb þ Zu, where b are fixed effects and u are random effects. The model contains most standard models currently used for categorical data analysis. We suggest some new models that are special cases of this mo...

Relational models for contingency tables

The paper considers general multiplicative models for complete and incomplete contingency tables that generalize log-linear and several other models and are entirely coordinate free. Sufficient conditions of the existence of maximum likelihood estimates under these models are given, and it is shown that the usual equivalence between multinomial and Poisson likelihoods holds if and only if an ov...

Bootstrap tests for independence in two-way ordinal contingency tables

For the analysis of an r by c contingency table having ordered row categories and ordered column categories, a bootstrap method is applied for the model-based likelihood ratio test for independence. A model-based likelihood ratio chi-square statistic and the statistic of the maximum eigenvalue of a Wishart matrix are also discussed. A simulation study is performed to compare the proposed method...

A class of ordinal quasi-symmetry models for square contingency tables

Kateri and Papaioannou [1997. Asymmetry models for contingency tables. J. Amer. Statist. Assoc. 92, 1124–1131] proved that, under certain conditions, quasi-symmetry is the closest model to symmetry. A simpler ordinal quasi-symmetry model is the closest to symmetry, under a weaker condition of unequal marginal mean scores. It is a special case of a class of ordinal models based on f-divergence. ...