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 lossfunction and deviance Quadratic approximation of the loglikelihood 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 Oneway 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 oneway random effects models Hierarchical generalized linear modelsRealLife 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 
