STA721 (Formerly STA 244): Linear Models

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Readings and Assignments:

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Date
Topic
References
Handouts
Assignments
8/30

Introduction to Linear Models

Random Vectors, Matrices

C: Chapter 1, Appendix A & B

 

 

9/1

Multivariate Normal Distribution Theory

C: Chapter 1, Appendix A & B

 

HW 1 (due 9/8)

9/6

Conditional Normal Distributions

C: Chapter 1 Appendix B and C
   
9/8

Chi-Square and non-central Chi-Square

Quadratic Forms

C: Appendix B

 

HW 2 (due 9/20)

9/13

Spectral Theorem
Distributions of Quadratic Forms
Orthogonal Projections

C:Appendix B
 
9/15

More Distributional Results

Casella & Berger 166, Chapter 5,
C: Appendix C

C: Chapter 2

 
9/20

Models
Maximum Likelihood Estimates

C: Chapter 2

 
HW 3
9/22

Identifiability & Estimation

C: Chapter 2
 
9/27

Gauss-Markov

C: Chapter 2
 
9/29

Weighted Regression

C: Chapter 10
 
HW 4 (due Oct 13)
10/4

Bayesian Regression

Hoff Chapter 9; C 2
 
10/6

Marginal & Predictive Distributions

 

10/13

Default Priors

 

 

 

10/18
Shrinkage Methods

C. Chapter 14

 

10/20

Bayesian Shrinkage

 

ridge.R

HW 5 (due 10/25)

swim.dat

 

10/25

Lasso Shrinkage

 

 

10/27

Bayesian Lasso
Carvalho, Polson Scott,
Hans, Park & Casella

diabetes.R

 

 

11/1

Bayesian Shrinkage

 

 

 

 
11/3

Likelihood Ratio Tests

F-tests & Analysis of Variance

Bayes Factors versus P-values

C: Chapter 3 - 5
C: Chapter 6-7

 

 

Meadowfoam data
Output
R-code

11/8

Bayesian Model Choice/Averaging

Statistical Science (2004) Model Uncertainty

JASA (2008)
Mixtures of g-priors

 

 

11/10
Midterm
Exams from 2003, 2004 2010, 2011
 

sim code

HW 7

11/15

Bayesian Model Choice/Averaging

MCMC
BAS package & Documentation

Longley Example

longley.R


11/17
Improper Priors and Model Selection: Intrinsic Bayes Factors

Casella & Moreno JASA March 2006

 

 

HW 8
11/22
Outlier Analysis

Christensen Ch 13

 

Diagnostics
R-code
data

11/29
Bayesian Outlier Analysis

Chaloner & Brant

Hoeting et al

bayes-outliers.R

stackloss output

stackloss.R

12/1
Robust Analyses
West
  HW 9

 

Take Home

(2011 Spring)
confounder.dat
   

 


Updated December 5, 2011