Bayesian data analysis in ecology using linear models with R, Bugs, and Stan / Fränzi Korner-Nievergelt, Tobias Roth, Stefanie von Felten, Jérôme Guélat, Bettina Almasi, Pius Korner-Nievergelt.

includes index.

Includes bibliographical references (pages 297-307).

Why do we Need Statistical Models and What is this Book About? -- Prerequisites and Vocabulary -- The Bayesian and the Frequentist Ways of Analyzing Data -- Normal Linear Models -- Likelihood -- Assessing Model Assumptions: Residual Analysis -- Linear Mixed Effects Models -- Generalized Linear Models -- Generalized Linear Mixed Models -- Posterior Predictive Model Checking and Proportion of Explained Variance -- Model Selection and Multimodel Inference -- Markov Chain Monte Carlo Simulation -- Modeling Spatial Data Using GLMM -- Advanced Ecological Models.

Bayesian Data Analysis in Ecology Using Linear Models with R, BUGS, and STAN examines the Bayesian and frequentist methods of conducting data analyses. The book provides the theoretical background in an easy-to-understand approach, encouraging readers to examine the processes that generated their data. Including discussions of model selection, model checking, and multi-model inference, the book also uses effect plots that allow a natural interpretation of data. Bayesian Data Analysis in Ecology Using Linear Models with R, BUGS, and STAN introduces Bayesian software, using R for the simple modes, and flexible Bayesian software (BUGS and Stan) for the more complicated ones. Guiding the ready from easy toward more complex (real) data analyses ina step-by-step manner, the book presents problems and solutions-including all R codes-that are most often applicable to other data and questions, making it an invaluable resource for analyzing a variety of data types.--