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Bayesian and frequentist regression methods / Jon Wakefield
New York : Springer, 2013
700 p. ; cm.
Ký hiệu phân loại (DDC): 519.536
Bayesian and Frequentist Regression Methods provides a modern account of both Bayesian and frequentist methods of regression analysis. Many texts cover one or the other of the approaches, but this is the most comprehensive combination of Bayesian and frequentist methods that exists in one place. The two philosophical approaches to regression methodology are featured here as complementary techniques, with theory and data analysis providing supplementary components of the discussion. In particular, methods are illustrated using a variety of data sets. The majority of the data sets are drawn from biostatistics but the techniques are generalizable to a wide range of other disciplines. While the philosophy behind each approach is discussed, the book is not ideological in nature and an emphasis is placed on practical application. It is shown that, in many situations, careful application of the respective approaches can lead to broadly similar conclusions. To use this text, the reader requires a basic understanding of calculus and linear algebra, and introductory courses in probability and statistical theory. The book is based on the author's experience teaching a graduate sequence in regression methods. The book website contains all of the code to reproduce all of the analyses and figures contained in the boo
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Fundamentals of Mathematical Statistics / Steffen Lauritzen
New York : CRC Press, Chapman & Hall, 2023
258 pages. ; cm.
Ký hiệu phân loại (DDC): 519.2
It covers all the key topics--statistical models, linear normal models, exponential families, estimation, asymptotics of maximum likelihood, significance testing, and models for tables of counts. It assumes a good background in mathematical analysis, linear algebra, and probability but includes an appendix with basic results from these areas.
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Regression methods in biostatistics : linear, logistic, survival, and repeated measures models / Eric Vittinghoff...[et al]
New York : Springer, 2012
xx, 599 pages. : illustrations ; 25 cm.
Ký hiệu phân loại (DDC): 610.727
This new book provides a unified, in-depth, readable introduction to the multi-predictor regression methods most widely used in biostatistics: linear models for continuous outcomes, logistics models for binary outcomes, the Cox model for right-censored survival times, repeated-measures models for longitudinal and hierarchical outcomes, and generalized linear models for counts and other outcomes
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