Readings:
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Date |
Topic
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Reading Assignment*
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Handouts
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Assignments
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1/10 |
Introduction MLE's in SLR |
CW::Chapters 1-5, 6 | ||
1/15 |
Sampling distribution of MLE's
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CW:6 Review CB:5.3 |
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1/17 |
Interval Estimation |
CW: 6 |
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1/22 |
Multivariate Normal
MLE's in Multiple Regression Introduction to Vector Spaces |
CW: 7 review linear algebra |
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1/24 |
Orthogonal Projections
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1/29 |
Spectral Theorem and Singular Value Decompositions
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1/31 |
Distributions of Quadratic Forms |
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2/5 |
Gauss-Markov
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2/7 |
Testing Hypotheses |
CW:9 | ||
2/12 |
Testing Hypotheses ANOVA |
CW:11 | ||
2/14 |
One-Way AOV Lack of Fit Tests |
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2/19 |
Weighted Regression (Gauss-Markov revisited) |
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2/21 |
Gauss-Markov General Covariance Structure
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2/26 |
Intro to Bayesian Linear Models
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2/28 |
Non-Informative prior distributions; Posterior Distributions |
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3/5 |
Predictive Distributions
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3/7 |
Conjugate Prior Distribution; viewed as prior data |
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3/19 |
Default Priors: Zellner's g-prior Choice of g Empirical Bayes Hierarchical Bayes |
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3/21 |
Ridge Regression and EB Cauchy Prior Distributions |
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3/26 |
Residuals and Diagnostics
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CW:14 | ||
3/28 | ||||
4/2 | CH:15 | |||
4/3 |
Bayesian Outliers
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Chaloner & Brant 1988 Biometrika |
Stack Loss Example, data |
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4/9 |
Bayesian Regression with Outliers
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West 1984 JRSS B |
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4/11 |
Bayesian Model Selection and Model Averaging |
Hoeting et al Statistical Science Chipman, George, McCulloch IMS Monograph on Model Selection |
my version with model space plotting function |
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4/16 | Hoeting, Raftery, Volinsky 1996 BMA + outliers | |||
4/18 |
other papers and software on the BMA homepage |
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4/21-4/29 |
Reading Period
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4/30 9-12 |
Final Exam
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