Generalized, linear, and mixed models (Q2704797)

This book offers a modern perspective on generalized linear and mixed models, presenting a unified and accessible treatment of the newest statistical methods for analyzing correlated, non-normally distributed data. The book progresses from the basic one-way classification to generalized linear mixed models. A variety of statistical methods are explained and illustrated, with an emphasis on maximum likelihood and restricted maximum likelihood.NEWLINENEWLINENEWLINEChapter 1 introduces the basic ideas of fixed and random factors and mixed models and briefly discusses general methods for the analysis of such models. Chapters 2 is devoted to one-way classifications and Chapter 3 studies single-predictor regression. Both chapters introduce all the main ideas of the remainder of the book with a minimum of emphasis on generality of results and notation.NEWLINENEWLINENEWLINEChapter 4 covers linear models. Chapter 5 introduces generalized linear models. Chapter 6 is concerned with linear mixed models. Chapter 8 is devoted to generalized linear mixed models. These four chapters study the main classes of models in more generality and breadth.NEWLINENEWLINENEWLINEChapter 7 discusses some of the special features of longitudinal data and shows how they can be accommodated within linear mixed models. Chapter 9 presents the idea of prediction of realized values of random effects. Chapter 10 covers computing issues, one of the main barriers to adoption of mixed models in practice. Chapter 11 briefly mentions nonlinear mixed models. The book ends with two short appendices, M and S, containing some pertinent results on matrices and statistics.NEWLINENEWLINENEWLINEThis book is intended for graduate students and practicing statisticians. It can serve as a very good reference book. It is noted that in this book few exercises involve data and most of them ask for proofs. It would be very helpful if more data examples and exercises would be provided, and an appendix on the use of statistical software would be added.