Introduction to general and generalized linear models. (2010)

• Record Type: Book
• Further Information: Note: Henrik Madsen, Poul Thyregod.
• Other Names: Madsen, Henrik, 1955-; Thyregod, Poul, 1939-2008
• Contents: Introduction ; Examples of types of data; Motivating examples; A first view on the models The Likelihood Principle ; Introduction; 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 Models ; Introduction; 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 influence; Analysis of residuals ; Representation of linear models; General linear models in R Generalized Linear Models ; Types 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 R Mixed Effects Models ; Gaussian 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 R Hierarchical Models ; Introduction, approaches to modelling of overdispersion; Hierarchical Poisson gamma model; Conjugate prior distributions; Examples of one-way random effects models; Hierarchical generalized linear models Real-Life Inspired Problems ; Dioxin emission; Depreciation of used cars; Young fish in the North Sea; Traffic accidents; Mortality of snails Appendix A: Supplement on the Law of Error Propagation; Appendix B: Some Probability Distributions; Appendix C: List of Symbols Bibliography Index Problems appear at the end of each chapter.
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2010
• Extent: 1 online resource, illustrations
• Subjects: 519.535; Linear models (Statistics); Generalized estimating equations
• Languages: English
• ISBNs: 9781439891148; 1439891141
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.