Generalized Linear Models With Examples in R

Коротко и по делу о том, что важно знать про data.

Generalized linear models (GLMs) are powerful tools in applied statistics that extend the ideas of multiple linear regression and analysis of variance to include response variables that are not normally distributed. This textbook presents an introduction to generalized linear models, complete with real-world data sets and practice problems, making it applicable for both beginning and advanced students of applied statistics. As such, GLMs can model a wide variety of data types including counts, proportions, and binary outcomes or positive quantities.

Beginning with an introduction to linear regression, the book also devotes time to advanced topics not typically included in introductory textbooks. The book is designed with the student in mind, making it suitable for self-study or a structured course. It features chapter introductions and summaries, clear examples, and many practice problems, all carefully designed to balance theory and practice. The text also provides a working knowledge of applied statistical practice through the extensive use of R, which is integrated into the text.

Other features include:Advanced topics such as power variance functions, saddlepoint approximations, likelihood score tests, modified profile likelihood, small-dispersion asymptotics, and randomized quantile residualsNearly 100 data sets in the companion R package GLMsDataExamples that are cross-referenced to the companion data set, allowing readers to load the data and follow the analysis in their own R session

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