Stats 851.3 & Stats 443.3

851.3 Linear Models (443.3 Linear Statistical Models)

Stats 851.3 A rigorous development of the general linear model, using vector space theory. Generalized inverses, orthogonal projections, quadratic forms, Gauss-Markov theorem, estimability.
 

Stats 443.3 A rigorous examination of the general linear model using vector space theory. Includes: generalized inverses; orthogonal projections; quadratic forms; Gauss-Markov theorem and its generalizations; BLUE estimators; Non-full rank models; estimability considerations.

Suggested Bibliography

Assignment 3 (due Wednesday February 8)

Take Home Test 2Data
 

Take Home Part of final exam, pdf, data

Lectures

1. Introduction Review of Linear Algebra pdf

2. Review of Probability and Statistics pdf

3. The General Linear Modelpdf

4. The GLM - Testing and Confidence Intervalspdf

5. The GLM - More general Assumptionspdf

6. The GLM - Summarypdf

7. The GLM - Applicationspdf

8. ANOVA, Experimental Design Modelspdf

9. Selecting the Best Equationpdf

10. Examination of Residualspdf

11. Some Examplespdf

12. Non-Linear Modelspdf