STA244 Linear Models

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Readings:

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Date
Topic
Reading Assignment*
Handouts
Assignments
1/10

Introduction

MLE's in SLR

CW::Chapters 1-5, 6  
1/15
Sampling distribution of MLE's

CW:6

Review CB:5.3

 

HW1

1/17

Interval Estimation

CW: 6

 

1/22
Multivariate Normal

MLE's in Multiple Regression

Introduction to Vector Spaces

CW: 7

review linear algebra

Forbes Ex in S

forbes.txt

HW2

oldfaithful.txt

1/24
Orthogonal Projections
   
1/29
Spectral Theorem and Singular Value Decompositions
   
1/31

Distributions of Quadratic Forms

   
2/5
Gauss-Markov
   
HW3
2/7

Testing Hypotheses

CW:9  
2/12

Testing Hypotheses

ANOVA

CW:11  
2/14

One-Way AOV

Lack of Fit Tests

 

loftest.pdf

lakemary.txt

HW4

bcherry.txt

camplake.txt

2/19

Weighted Regression

(Gauss-Markov revisited)

   
2/21
Gauss-Markov General Covariance Structure
   
2/26
Intro to Bayesian Linear Models
   
2/28

Non-Informative prior distributions;

Posterior Distributions

   
HW5
3/5
Predictive Distributions
   
3/7

Conjugate Prior Distribution;

viewed as prior data

   
3/19

Default Priors: Zellner's g-prior

Choice of g

Empirical Bayes

Hierarchical Bayes

   

HW6

bcherry.txt

3/21

Ridge Regression and EB

Cauchy Prior Distributions

   
3/26
Residuals and Diagnostics
CW:14  
3/28
   
4/2
CH:15  
4/3
Bayesian Outliers
Chaloner & Brant 1988 Biometrika

BayesOutliers.sscc

Stack Loss Example, data

4/9
Bayesian Regression with Outliers

West 1984 JRSS B

 

HW7

rat.txt

4/11

Bayesian Model Selection

and Model Averaging

Hoeting et al Statistical Science

Chipman, George, McCulloch IMS Monograph on Model Selection

bicreg.ssc

my version with model space plotting function

4/16
Hoeting, Raftery, Volinsky 1996 BMA + outliers

BMA.shar

README

HW8

species.txt

4/18

Model Averaging

other papers and software on the BMA homepage

poll-bma.ssc

EX1217.txt

4/21-4/29
Reading Period
     

4/30

9-12

Final Exam
     
         
         

 


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