LOG-LINEAR MODELING：CONCEPTS, INTERPRETATION, AND APPLICATIONS WITH R, SYSTAT, AND LEM

Over the past ten years, there have been many important advances in log-linear modeling, including the specification of new models, in particular non-standard models, and their relationships to methods such as Rasch modeling. While most literature on the topic is contained in volumes aimed at advanced statisticians, Applied Log-Linear Modeling presents the topic in an accessible style that is customized for applied researchers who utilize log-linear modeling in the social sciences. The book begins by providing readers with a foundation on the basics of log-linear modeling, introducing decomposing effects in cross-tabulations and goodness-of-fit tests. Popular hierarchical log-linear models are illustrated using empirical data examples, and odds ratio analysis is discussed as an interesting method of analysis of cross-tabulations. Next, readers are introduced to the design matrix approach to log-linear modeling, presenting various forms of coding (effects coding, dummy coding, Helmert contrasts etc.) and the characteristics of design matrices. The book goes on to explore non-hierarchical and nonstandard log-linear models, outlining ten nonstandard log-linear models (including nonstandard nested models, models with quantitative factors, logit models, and log-linear Rasch models) as well as special topics and applications. A brief discussion of sampling schemes is also provided along with a selection of useful methods of chi-square decomposition. Additional topics of coverage include models of marginal homogeneity, rater agreement, methods to test hypotheses about differences in associations across subgroup, the relationship between log-linear modeling to logistic regression, and reduced designs. Throughout the book, Computer Applications chapters feature SYSTAT, Lem, and R illustrations of the previous chapter’s material, utilizing empirical data examples to demonstrate the relevance of the topics in modern research.

ALEXANDER von EYE, PhD, is Professor of Psychology at Michigan State University. He has published twenty books and over 350 journal articles on statistical methods, categorical data analysis, and human development. Dr. von Eye serves as Section Editor on Categorical Data Analysis for Wiley's Encyclopedia of Statistics in Behavioral Science.

EUN-YOUNG MUN, PhD, is Associate Professor of Psychology at Rutgers University. Her research focuses on extending generalized latent variable modeling to the study of clustered, repeated measures longitudinal data.