Introduction to WinBUGS for Ecologists: Bayesian Approach to Regression, ANOVA, Mixed Models and Related Analyses

Introduction to WinBUGS for Ecologists: Bayesian Approach to Regression, ANOVA, Mixed Models and Related Analyses

By: Marc Kery (author)Paperback

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Description

Introduction to WinBUGS for Ecologists introduces applied Bayesian modeling to ecologists using the highly acclaimed, free WinBUGS software. It offers an understanding of statistical models as abstract representations of the various processes that give rise to a data set. Such an understanding is basic to the development of inference models tailored to specific sampling and ecological scenarios. The book begins by presenting the advantages of a Bayesian approach to statistics and introducing the WinBUGS software. It reviews the four most common statistical distributions: the normal, the uniform, the binomial, and the Poisson. It describes the two different kinds of analysis of variance (ANOVA): one-way and two- or multiway. It looks at the general linear model, or ANCOVA, in R and WinBUGS. It introduces generalized linear model (GLM), i.e., the extension of the normal linear model to allow error distributions other than the normal. The GLM is then extended contain additional sources of random variation to become a generalized linear mixed model (GLMM) for a Poisson example and for a binomial example. The final two chapters showcase two fairly novel and nonstandard versions of a GLMM. The first is the site-occupancy model for species distributions; the second is the binomial (or N-) mixture model for estimation and modeling of abundance.

About Author

Dr Kery is a Population Ecologist with the Swiss Ornithological Institute and a courtesy professor ("Privatdozent") at the University of Zurich/Switzerland, from where he received his PhD in Ecology in 2000. He is an expert in the estimation and modeling of abundance, distribution and species richness in "metapopulation designs" (i.e., collections of replicate sites). For most of his work, he uses the Bayesian model fitting software BUGS and JAGS, about which he has published two books with Academic Press (2010 and 2012). He has authored/coauthored 70 peer-reviewed articles and four book chapters. Since 2007, and for a total of 103 days, he has taught 23 statistical modeling workshops about the methods in the proposed book at research institutes and universities all over the world.

Contents

Introduction, Principles of Bayesian Statistics, WinBUGS, A First Session in WinBUGS, Running WinBUGS from R via R2WinBUGS, Key Components of Generalized Linear Models, T-Test, Normal Linear Regression, Normal One-Way ANOVA, Interaction, General Linear Model, Linear Mixed-Effects Model, Introduction to the Generalized Linear Model (GLM), Overdispersion and Offsets in the GLM, Poisson ANCOVA, Poisson Mixed-Effects Model, Binomial T-Test, Binomial ANCOVA, Binomial Mixed-Effects Model, Non-Standard GLMMs 1, Non-Standard GLMMs 2, Conclusion and Outlook, Acknowledgements, References

Product Details

  • ISBN13: 9780123786050
  • Format: Paperback
  • Number Of Pages: 320
  • ID: 9780123786050
  • weight: 750
  • ISBN10: 0123786053

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