Applied Statistical Modelling for Ecologists: A Practical Guide to Bayesian and Likelihood Inference Using R, JAGS, NIMBLE, Stan and TMB

ISBN-13: 9780443137150 / Angielski / Miękka / 2024 / 520 str.

Michigan State Uni Kenneth F. (Assistant Research Professor

Spis treści

1. Introduction 2. Introduction to statistical inference 3. Linear regression models and their extensions to generalized linear, hierarchical and integrated models 4. Introduction to general-purpose model fitting engines and the "model of the mean” 5. Normal linear regression 6. Comparison of two groups with equal or unequal variances in a Normal model 7. Comparisons in a single classification in a model with a single factor 8. Comparisons along two classifications in a model with two factors 9. General linear model for a normal response with continuous and categorical explanatory variables 10. Linear mixed-effects model 11. Introduction to the Generalized linear model (GLM): Comparing two groups in a Poisson regression 12. Overdispersion, zero-inflation and offsets in a Poisson GLM 13. Poisson GLM with continuous and categorical explanatory variables 14. Poisson generalized linear mixed model, or Poisson GLMM 15. Comparing two groups in a Binomial regression, or logistic regression model 16. Binomial GLM with both continuous and categorical explanatory variables 17. Binomial generalized linear mixed model, or Binomial GLMM 18. Model goodness-of-fit and model selection 19. Non-GLMM hierarchical models: Site-occupancy species distribution model 20. Integrated models 21. Conclusions