Division of clinical epidemiology
Departement of Epidemiology and Biostatistics
McGill University
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Lawrence Joseph
Bayesian statistics
Division of Clinical Epidemiology
McGill University Health Centre
2155 Guy Street
Room 343
Montreal, Quebec
Canada, H3H 2R9
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EPIB-668 Introduction to Bayesian Analysis in the Health Sciences
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Course outline
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Previous courses taught
EPIB-607 Principles of Inferential Statistics in Medicine
EPIB-613 Introduction to Statistical Software
EPIB-621 Data Analysis in the Health Sciences
EPIB-651 Bayesian Analysis in Medicine
EPIB-668 Introduction to Bayesian Analysis in the Health Sciences
EPIB-669 Intermediate Bayesian Analysis for the Health Sciences
EPIB-675 Bayesian Analysis in the Health Sciences
EPIB-682 Introduction to Bayesian Analysis in the Health Sciences
EPIB-683 Intermediate Bayesian Analysis for the Health Sciences
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Methodological publications
Bayesian Sample Size
Change-point methods and applications
Diagnostic testing
Meta analysis
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Allergy and immunology
Asthma
Cardiology
Gastroenterology
Osteoporosis
Quality of Life
Rheumatology
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Bayesian software
Bayesian Sample Size
Change-point methods and applications
Diagnostic testing
Diagnostic testing in Genetics
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EPIB-668 Introduction to Bayesian Analysis in the Health Sciences
Course Outline
1
Tues Sept
11
Introduction/Evaluation/Motivation/Background
Mathematical background
2
Tues Sept
18
Basic Elements of Bayesian Analysis
3
Tues Sept
25
Bayesian Philosophy
James Berger - Example 8
James Berger - Example 13
James Berger - Example 17
Berger and Berry - Illusion of Objectivity
Dunson - Practical Advantages of Bayes in Epidemiology
4
Tues Oct
2
Simple Models I - Univariate Models
Notes on predictive distributions
R program for Normal Means - Version 1
R program for Normal Means - Version 2
R program for exact binomial confidence intervals
5
Tues Oct
9
Computation and Numerical Methods I - Introduction
6
Tues Oct
16
Computation and Numerical Methods II - Monte Carlo Integration
7
Tues Oct
23
Computation and Numerical Methods III - SIR Algorithm
SIR program #1
SIR program #2
SIR program #3
SIR program #4
Extra Notes on SIR
8
Tues Oct
30
Computation and Numerical Methods IV - Gibbs sampler and WinBUGS
Simple Gibbs program in R
Paper on adaptive rejection sampling
9
Tues Nov
6
Computation and Numerical Methods V - More on WinBUGS
WinBUGS Quick Reference for Model Preparation
WinBUGS Quick Reference for Analysis
WinBUGS program for Binomial Proportion
WinBUGS program for Binomial Proportion Difference
WinBUGS program for Normal Mean, Known Variance
WinBUGS program for Normal Mean, Unknown Variance
WinBUGS program for Linear Regression
WinBUGS program for Linear Regression with Missing Data
WinBUGS program for Logistic Regression
WinBUGS program for Hierarchical Binomial Proportion
All WinBUGS programs in one pdf file
model.txt
data.txt
inits.txt
script
List of all Script commands
10
Tues Nov
13
Bayesian Linear and Logistic Regression
11
Tues Nov
20
Hierarchical Linear and Logistic Regression
WinBUGS rats example
WinBUGS seeds example
WinBUGS pumps example
12
Tues Nov
27
Prior Distributions - Prior Selection and Elicitation
Chaloner 1994
13
Tues Dec
4
Model Selection in Regression - Bayes Factors
Bayes Factor graphical explanation
Raftery 1995
BIC Example in R
Kass 1995 (abstract only)
WinBUGS pines example