Introduction to WinBUGS for Ecologists: Bayesian approach to regression, ANOVA, mixed models and related analyses

Bayesian statistics has exploded into biology and its sub-disciplines such as ecology over the past decade. The free software program WinBUGS and its open-source sister OpenBugs is currently the only flexible and general-purpose program available with which the average ecologist can conduct their own standard and non-standard Bayesian statistics. Introduction to WINBUGS for Ecologists goes right to the heart of the matter by providing ecologists with a comprehensive, yet concise, guide to applying WinBUGS to the types of models that they use most often: linear (LM), generalized linear (GLM), linear mixed (LMM) and generalized linear mixed models (GLMM).


Introduction to WinBUGS for Ecologists combines the use of simulated data sets ";paired"; analyses using WinBUGS (in a Bayesian framework for analysis) and in R (in a frequentist mode of inference) and uses a very detailed step-by-step tutorial presentation style that really lets the reader repeat every step of the application of a given mode in their own research.





Table of Contents

Chapter One: Introduction

Chapter Two: Principles of Bayesian Statistics

Chapter Three: WinBUGS (and a little bit on R)

Chapter Four: A First Session in WinBUGS: The ";Model of the Mean";

Chapter Five: Running WinBUGS from R via R2WinBUGS

Chapter Six: Key Components of Generalized Linear Models: Statistical Distributions and the Linear Predictor

Chapter Seven: T-Test: Equal and Unequal Variance

Chapter Eight: Normal Linear Regression

Chapter Nine: Normal One-Way ANOVA

Chapter Ten: Interaction

Chapter Eleven: General Linear Model (ANCOVA)

Chapter Twelve: Linear Mixed-Effects Model

Chapter Thirteen: Introduction to the Generalized Linear Model (GLM): Poisson T-Test

Chapter Fourteen: Over dispersion and Offsets in the GLM

Chapter Fifteen: Poisson ANCOVA

Chapter Sixteen: Poisson Mixed-Effects Model (Poisson GLMM)

Chapter Seventeen: Binomial T-Test

Chapter Eighteen: Binomial ANCOVA

Chapter Nineteen: Binomial Mixed-Effects Model (Binomial GLMM)

Chapter Twenty: Non-standard GLMMs 1: Site Occupancy Distribution Model

Chapter Twenty-One: Non-standard GLMMs 2: Binomial Mixture Model for the Modeling of True Abundance

Chapter Twenty-Two: Conclusion and Outlook

Acknowledgements

References

Solutions to Exercises





Author Information
By Marc Kery