552 Pages 190 Color & 53 B/W Illustrations
by Chapman & Hall

552 Pages 190 Color & 53 B/W Illustrations
by Chapman & Hall

552 Pages 190 Color & 53 B/W Illustrations
by Chapman & Hall

Bayesian statistics and statistical practice have evolved over the years, driven by advancements in theory, methods, and computational tools. Bayesian Workflow explores the intricate workflows of applied Bayesian statistics, aiming to uncover the tacit knowledge often overlooked in published papers and textbooks. By systematizing the process of Bayesian model development, the book seeks to... Read more

Part 1: From Bayesian inference to Bayesian workflow

1 Bayesian theory and Bayesian practice

2 Statistical modeling and workflow

3 Computational tools

4 Introduction to workflow: Modeling performance on a multiple choice exam

Part 2: Statistical workflow

5 Building statistical models

6 Using simulations to capture uncertainty

7 Prediction, generalization, and causal inference

8 Visualizing and checking fitted models

9 Comparing and improving models

10 Statistical inference and scientific inference

Part 3: Computational workflow

11 Fitting statistical models

12 Diagnosing and fixing problems with fitting

13 Approximate algorithms and approximate models

14 Simulation-based calibration checking

15 Statistical modeling as software development

Part 4: Case studies

16 Coding a series of models: Simulated data of movie ratings

17 Prior specification for regression models: Reanalysis of a sleep study

18 Predictive model checking and comparison: Clinical trial

19 Building up to a hierarchical model: Coronavirus testing

20 Using a fitted model for decision analysis: Mixture model for time series competition

21 Posterior predictive checking: Stochastic learning in dogs

22 Incremental development and testing: Black cat adoptions

23 Debugging a model: World Cup football

24 Leave-one-out cross validation model checking and comparison: Roaches

25 Model building and expansion: Golf putting

26 Model building with latent variables: Markov models for animal movement

27 Model building: Time-series decomposition for birthdays

28 Models for regression coefficients and variable selection: Student grades

29 Funnel problem with latent variables: No vehicles in the park

30 Computational challenge of multimodality: Differential equation for planetary motion

31 Simulation-based calibration checking in model development workflow

Biography

Andrew Gelman is a professor of statistics and political science at Columbia University

Aki Vehtari is a professor of computer science at Aalto University

Richard McElreath is the director of the Max Planck Institute for Evolutionary Anthropology

Daniel Simpson is a machine learning engineer at dottxt

Charles Margossian is an assistant professor of statistics at the University of British Columbia

Yuling Yao is an assistant professor of statistics at the University of Texas

Lauren Kennedy is a senior lecturer in mathematical science at the University of Adelaide

Jonah Gabry is an applied statistics researcher at Columbia University

Paul-Christian Bürkner is a professor of statistics at TU Dortmund University

Martin Modrák is a researcher in bioinformatics at Charles University

Vianey Leos Barajas is an assistant professor of statistical sciences at the University of Toronto