Zero inflated models and generalized linear mixed models with R

Preface.. Contents.. 1 Introduction to Bayesian Statistics, MCMC Techniques, and Winbugs.. 1.1 Probabilities and Bayes' Theorem.. 1.2 Likelihood Functions.. 1.3 Conjugate Prior Distributions.. 1.4 MCMC.. 1.4.1 Markov Chain.. 1.4.2 Transition rules*.. 1.5 Using WinBUGS.. 1.6 Summary.. 2 Zero Inflated GLMM Applied to Barn Owl Data.. 2.1 Introduction.. 2.1.1 Vocal begging behaviour of nestling barn owls.. 2.1.2 Previous analyses of the owl data.. 2.1.3 Prerequisite knowledge for this chapter.. 2.2 Importing And Coding the Data.. 2.3 Data Exploration.. 2.4 Overdispersion in the Poisson GLMM.. 2.4.1 Assessing overdispersion using Pearson residuals.. 2.4.2 Assessing overdispersion using an observation level random effect term.. 2.4.3 Simulation study demonstrating observation level random effect.. 2.4.4 A GLMM with observation level random effect.. 2.5 Why Zero Inflated Models?.. 2.6 Implementing a Poisson GLM in Winbugs.. 2.6.1 Converting vectors to matrices.. 2.6.2 Data for WinBUGS.. 2.6.3 Modelling code for WinBUGS.. 2.6.4 Initialising the chains.. 2.6.5 Parameters, thinning rate and length of the chains.. 2.6.6 Starting WinBUGS from within R.. 2.6.7 Assessing convergence of the chains.. 2.6.8 Summarising the posterior distributions.. 2.6.9 Pearson residuals.. 2.6.10 WinBUGS versus GLM results.. 2.7 Implementing a Poisson GLMM in WinBUGS.. 2.8 Implementing a Zero Inflated Poisson GLM in Winbugs Using Artificial Data.. 2.9 Application Of Zip Glmm In Winbugs Using The Owl Data.. 2.10 Using Dic To Find The Optimal Zip Glmm For The Owl Data.. 2.11 Zip GAMM for 1-Way Nested Data.. 2.12 What to Present in a Paper?.. 3 A Roadmap for Analysis of Overdispersed Sandeel Counts in Seal Scat.. 3.1 Sandeel Otoliths and Seal Scat

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Bibliographic Details
Main Authors: Zuur, Alain F. autor/a, Savaliev, Anatoly A. autor/a, Ieno, Elena N. autor/a
Format: Texto biblioteca
Language:eng
Published: Newburgt, United Kingdom Highland Statistics Ltd 2012
Subjects:Ecología, Métodos estadísticos, R (Lenguaje de programación para computadora), Análisis multivariante,
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