This monograph on the analysis of categorical data places special emphasis on applications in economics, political science and the social sciences. The book gives a brief theoretical introduction to log-linear modelling of categorical data, and then an up-to-date account of models and methods for the statistical analysis of categorical data, including recent developments in logistic regression models, correspondence analysis and latent structure analysis. Also treated are the RC association models brought to prominence in recent years by Leo Goodman. New statistical features such as the use of association graphs, residuals and regression diagnostics are carefully explained, and the theory and methods are extensively illustrated by real-life data.
Categorical Data.- Preliminaries.- Statistical Inference.- Two-way Contingency Tables.- Three-way Contingency Tables.- Multi-dimension Contingency Tables.- Incomplete Tables, Separability and Collapsibility.- The Logit Model.- Logistic Regression Analysis.- Models for the Interactions.- Correspondence Analysis.- Latent Structure Analysis.- Computer Programs.