Bayesian Ideas and Data Analysis

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A01=Adam Branscum
A01=Ronald Christensen
A01=Timothy E Hanson
A01=Wesley Johnson
advanced probability methods
Aft Model
analysis of variance (ANOVA)
Author_Adam Branscum
Author_Ronald Christensen
Author_Timothy E Hanson
Author_Wesley Johnson
Bayes Factors
Bayesian inference
Bayesian modelling for scientific research
Binary Diagnostic Tests
binomial regression
Category=PBT
Conjugate Prior
data analysis
diagnostic testing
Dirichlet Process Mixtures
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Full Conditionals
Gibbs Sampling
Hazard Function
hierarchical modelling
Leukemia Data
linear modeling
Markov chain Monte Carlo (MCMC) simulation
MCMC Method
Monte Carlo methods
Multivariate Normal
nonparametric inference
numerical approximations
Partial Prior Information
Poisson regression
Posterior Distribution
Posterior Median
Precision Matrix
Predictive Density
Predictive Distribution
Predictive Probability
Prior Distributions
Prior Information
Probability Interval
R
Reference Priors
Regression Model
regression modeling
reliability analysis
scientific data analysis
simulation techniques
Sliced Inverse Regression
statistical computing
statistical models
survival analysis
WinBUGS
WinBUGS Code

Product details

  • ISBN 9781439803547
  • Weight: 1120g
  • Dimensions: 174 x 246mm
  • Publication Date: 02 Jul 2010
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Emphasizing the use of WinBUGS and R to analyze real data, Bayesian Ideas and Data Analysis: An Introduction for Scientists and Statisticians presents statistical tools to address scientific questions. It highlights foundational issues in statistics, the importance of making accurate predictions, and the need for scientists and statisticians to collaborate in analyzing data. The WinBUGS code provided offers a convenient platform to model and analyze a wide range of data.

The first five chapters of the book contain core material that spans basic Bayesian ideas, calculations, and inference, including modeling one and two sample data from traditional sampling models. The text then covers Monte Carlo methods, such as Markov chain Monte Carlo (MCMC) simulation. After discussing linear structures in regression, it presents binomial regression, normal regression, analysis of variance, and Poisson regression, before extending these methods to handle correlated data. The authors also examine survival analysis and binary diagnostic testing. A complementary chapter on diagnostic testing for continuous outcomes is available on the book’s website. The last chapter on nonparametric inference explores density estimation and flexible regression modeling of mean functions.

The appropriate statistical analysis of data involves a collaborative effort between scientists and statisticians. Exemplifying this approach, Bayesian Ideas and Data Analysis focuses on the necessary tools and concepts for modeling and analyzing scientific data.

Data sets and codes are provided on a supplemental website.

Ronald Christensen is a Professor in the Department of Mathematics and Statistics at the University of New Mexico, Albuquerque. He is also a Fellow of the American Statistical Association (ASA) and the Institute of Mathematical Statistics as well as the former Chair of the ASA Section on Bayesian Statistical Science.

Wesley Johnson is a Professor in the Department of Statistics at the University of California, Irvine. He is also a Fellow of the ASA and Chair-Elect of the ASA Section on Bayesian Statistical Science.

Adam Branscum is an Associate Professor in the Department of Public Health at Oregon State University, Corvallis.

Timothy E. Hanson is an Associate Professor in the Department of Statistics at the University of South Carolina, Columbia.

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