The success of the first edition of Generalized Linear Models led to the updated Second Edition, which continues to provide a definitive unified, treatment of methods for the analysis of diverse types of data. Today, it remains popular for its clarity, richness of content and direct relevance to agricultural, biological, health, engineering, and other applications.
The authors focus on examining the way a response variable depends on a combination of explanatory variables, treatment, and classification variables. They give particular emphasis to the important case where the dependence occurs through some unknown, linear combination of the explanatory variables.
The Second Edition includes topics added to the core of the first edition, including conditional and marginal likelihood methods, estimating equations, and models for dispersion effects and components of dispersion. The discussion of other topics-log-linear and related models, log odds-ratio regression models, multinomial response models, inverse linear and related models, quasi-likelihood functions, and model checking-was expanded and incorporates significant revisions.
Comprehension of the material requires simply a knowledge of matrix theory and the basic ideas of probability theory, but for the most part, the book is self-contained. Therefore, with its worked examples, plentiful exercises, and topics of direct use to researchers in many disciplines, Generalized Linear Models serves as ideal text, self-study guide, and reference.
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..." an important, useful book, well-written by two authorities in the field..." -Times Higher Education Supplement ..." an enormous range of work is covered... represents, perhaps, the most important field of research in theoretical and practical statistics. For all statisticians working in this field, the book is essential." -Short Book Reviews ..." this is a rich book; rich in theory, rich in examples, and rich in a statistical sense. I highly recommend it." -Biometrics ..." a definitive and unified presentation...by the outstanding experts of this field." -Statistics "This is a wonderful book... Reading the book is like listening to a good lecturer. The authors present the material clearly, and they treat the reader with respect. There is a balance between discussion, mathematical presentation of models, and examples." -Technometrics ..." a complete introduction to the topic in a single monograph... a very readable book that provides the reader with great insight into a vast array of data analysis techniques... -Siam Review ..." a unique and useful text for intermediate undergraduate teaching." -THES
This monograph deals with a class of statistical models that generalizes classical linear models to include many other models that have been found useful in statistical analysis. These include log-linear models for the analysis of data in the form of proportions, and models for continuous data with constant proportional standard error. In addition, important types of models for survival data are covered by the class. The book requires the reader to have a knowledge of matrix theory, but as far as possible it is self-contained. All theory is illustrated with a diverse set of worked examples.
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