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Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan Vital Source e-bog
John Kruschke
(2014)
Doing Bayesian Data Analysis
A Tutorial with R, JAGS, and Stan
John Kruschke
(2014)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Reflowable pages): 776 sider
- Udgiver: Elsevier Science (November 2014)
- ISBN: 9780124059160
There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis obtainable to a wide audience. Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan provides an accessible approach to Bayesian data analysis, as material is explained clearly with concrete examples. The book begins with the basics, including essential concepts of probability and random sampling, and gradually progresses to advanced hierarchical modeling methods for realistic data. Included are step-by-step instructions on how to conduct Bayesian data analyses in the popular and free software R and WinBugs. This book is intended for first-year graduate students or advanced undergraduates. It provides a bridge between undergraduate training and modern Bayesian methods for data analysis, which is becoming the accepted research standard. Knowledge of algebra and basic calculus is a prerequisite.
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Detaljer om varen
- 2. Udgave
- Hardback: 776 sider
- Udgiver: Elsevier Science & Technology (December 2014)
- ISBN: 9780124058880
Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan, Second Edition provides an accessible approach for conducting Bayesian data analysis, as material is explained clearly with concrete examples. Included are step-by-step instructions on how to carry out Bayesian data analyses in the popular and free software R and WinBugs, as well as new programs in JAGS and Stan. The new programs are designed to be much easier to use than the scripts in the first edition. In particular, there are now compact high-level scripts that make it easy to run the programs on your own data sets.
The book is divided into three parts and begins with the basics: models, probability, Bayes' rule, and the R programming language. The discussion then moves to the fundamentals applied to inferring a binomial probability, before concluding with chapters on the generalized linear model. Topics include metric-predicted variable on one or two groups; metric-predicted variable with one metric predictor; metric-predicted variable with multiple metric predictors; metric-predicted variable with one nominal predictor; and metric-predicted variable with multiple nominal predictors. The exercises found in the text have explicit purposes and guidelines for accomplishment.
This book is intended for first-year graduate students or advanced undergraduates in statistics, data analysis, psychology, cognitive science, social sciences, clinical sciences, and consumer sciences in business.
PART I The Basics: Models, Probability, Bayes' Rule, and R
2. Introduction: Credibility, Models, and Parameters
3. The R Programming Language
4. What Is This Stuff Called Probability?
5. Bayes' Rule
PART II All the Fundamentals Applied to Inferring a Binomial Probability
6. Inferring a Binomial Probability via Exact Mathematical Analysis
7. Markov Chain Monte Carlo
8. JAGS
9. Hierarchical Models
10. Model Comparison and Hierarchical Modeling
11. Null Hypothesis Significance Testing
12. Bayesian Approaches to Testing a Point ("Null") Hypothesis
13. Goals, Power, and Sample Size
14. Stan
PART III The Generalized Linear Model
15. Overview of the Generalized Linear Model
16. Metric-Predicted Variable on One or Two Groups
17. Metric Predicted Variable with One Metric Predictor
18. Metric Predicted Variable with Multiple Metric Predictors
19. Metric Predicted Variable with One Nominal Predictor
20. Metric Predicted Variable with Multiple Nominal Predictors
21. Dichotomous Predicted Variable
22. Nominal Predicted Variable
23. Ordinal Predicted Variable
24. Count Predicted Variable
25. Tools in the Trunk
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