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E-book
Author Madsen, Henrik

Title Introduction to General and Generalized Linear Models
Published Bosa Roca CRC Press, 2010
©2010
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Description 1 online resource (307 pages)
Series Chapman & Hall/CRC Texts in Statistical Science
Chapman & Hall/CRC Texts in Statistical Science
Contents Cover -- Title -- Copyright -- Contents -- Preface -- CHAPTER 1: Introduction -- CHAPTER 2: The likelihood principle -- CHAPTER 3: General linear models -- CHAPTER 4: Generalized linear models -- CHAPTER 5: Mixed effects models -- CHAPTER 6: Hierarchical models -- CHAPTER 7: Real life inspired problems -- APPENDIX A: Supplement on the law of error propagation -- APPENDIX B: Some probability distributions -- APPENDIX C: List of symbols -- Bibliography
Summary Error PropagationAppendix B: Some Probability DistributionsAppendix C: List of Symbols Bibliography IndexProblems appear at the end of each chapter
IntroductionExamples of types of data Motivating examples A first view on the modelsThe Likelihood PrincipleIntroduction Point estimation theory The likelihood function The score function The information matrix Alternative parameterizations of the likelihood The maximum likelihood estimate (MLE) Distribution of the ML estimator Generalized loss-function and deviance Quadratic approximation of the log-likelihood Likelihood ratio tests Successive testing in hypothesis chains Dealing with nuisance parameters General Linear ModelsIntroduction The multivariate normal distribution General linear models Estimation of parameters Likelihood ratio tests Tests for model reduction Collinearity Inference on parameters in parameterized models Model diagnostics: residuals and influenceAnalysis of residuals Representation of linear models General linear models in RGeneralized Linear ModelsTypes of response variables Exponential families of distributions Generalized linear models Maximum likelihood estimation Likelihood ratio tests Test for model reduction Inference on individual parameters Examples Generalized linear models in RMixed Effects ModelsGaussian mixed effects model One-way random effects model More examples of hierarchical variation General linear mixed effects models Bayesian interpretations Posterior distributions Random effects for multivariate measurements Hierarchical models in metrology General mixed effects models Laplace approximation Mixed effects models in RHierarchical ModelsIntroduction, approaches to modelling of overdispersion Hierarchical Poisson gamma model Conjugate prior distributions Examples of one-way random effects models Hierarchical generalized linear modelsReal-Life Inspired Problems Dioxin emission Depreciation of used cars Young fish in the North Sea Traffic accidents Mortality of snailsAppendix A: Supplement on the Law of
Bibliography Includes bibliographical references and index
Notes Description based on publisher supplied metadata and other sources
Subject Generalized estimating equations.
Linear models (Statistics)
Generalized estimating equations.
Linear models (Statistics)
MATHEMATICS / Applied.
MATHEMATICS / Probability & Statistics / General.
Genre/Form Electronic books
Form Electronic book
Author Thyregod, Poul.
ISBN 1439891141
9781439891148