VHM 881: Statistical Analysis of Generalized, Linear, and Mixed Models -
Fall Semester 2004
Welcome to the homepage of the directed studies course VHM 881 offered in the fall semester of 2004, at the
Department of Health Management, Atlantic Veterinary College.
Course outline
This graduate course is intended for students with a background in statistics
corresponding to at least BSc level. It covers the foundations of statistical
models for continuous and discrete data involving random effects, so-called
"mixed models", e.g. corresponding to a hierarchical data structure (e.g.
animals in farms). The student will learn the mathematical and statistical
theory involved in analysing such models, and apply the methodology to selected
sample datasets using statistical software (R program). In contrast to applied
courses (such as "Introduction to Multilevel Modelling", offered within the
framework of VHM 831), the course will give the student the theoretical tools to
read statistical papers on the subject and to study and implement non-standard
extensions of the procedures.
- Course material:
- MS: McCullogh CE, Searle SR (2000), Generalized, Linear, and Mixed Models, Wiley, 325pp.
- VR: Venables WN & Ripley BD (1999), Modern Applied Statistics with S-PLUS, 3rd ed., Springer, 501pp
(+ Sections 10.4-5 from the 4th ed.).
- PB: Pinheiro JC & Bates DM (2000), Mixed-Effects Models in S and S-PLUS, Springer, 528pp.
- BC: Breslow NE & Clayton DG (1993), Approximate inference in generalized linear mixed models, Journal of the American Statistical Association 88, 9-25.
- RG: Rodriguez G & Goldman N (2001), Improved estimation procedures for multilevel models with binary response: a case study, Journal of the Royal Statistical Society, A 164, 339-356.
- RSP: Rabe-Hesketh S, Skrondal A & Pickles A (2002), Reliable estimation of generalised mixed models using adaptive quadrature, The Stata Journal 2, 1-21.
- Course schedule:
tutorial session: Wednesdays 3:30-4:30pm, lab session: Mondays 9-
11am; sessions 1-2 completed in June-July, sessions 3-14 commencing
September 8 and 13, for tutorial and lab sessions, respectively.
- Assignments and exam:
Schedule
| Session | Date | Topics | Exercises
|
|---|
| 1 | June 2004 | Introduction, MS:1 | MS:1.1,1.2,1.6
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| 2 | July 2004 | One-way classification mixed models, MS:2 | MS:2.3,2.5,2.11,2.12,2.15
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| 3 | Sep 8 | Single-predictor mixed models, MS:3 | MS:3.3,3.12,3.13, Example 3.1
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| 4 | Sep 15 | Linear models, MS:4 | MS:4.10,4.17,4.18, Example 4.7
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| 5 | Sep 22 | Generalized linear models, MS:5 | MS:5.2,5.5,5.8,5.9
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| 6 | Sep 29 | Linear (generalized) model analysis in R, VR:6-7 + PB:4.1 | VR:6.2,7.6, VR: Extra for Chapter 6
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| 7 | Oct 6 | Linear mixed models, MS:6 | MS:6.1,6.2,6.4,6.5,6.6,6.10(a-c)
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| 8 | Oct 13 | Linear mixed models in R, PB:1 | PB:1.1,1.2,1.4
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| 9 | Oct 22 | Linear mixed models in R (cont), PB:2+4 | PB:1.3,2.1,4.3
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| 10 | Oct 29 | Generalized linear mixed models, MS:8 | MS:8.3,8.4, PB: Extra for Chapter 2
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| 11 | Nov 3 | Prediction for mixed models, MS:9 | MS:8.6,8.7, PB: Extra for Chapter 2(cont)
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| 12 | Nov 10 | Computing for mixed models, MS:10 | MS:9.3,9.7
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| 13 | Nov 17 | Generalized linear mixed model analysis in R, VR:10.4-5 | MS:10.1,10.2,10.3,10.4,10.6,10.11,10.12
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| 14 | Nov 24 | Course wrap-up and Generalized linear mixed models (cont), BC+RG+RSP |
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| 15 | Dec 1 | Student seminar |
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Other information
Contact
Henrik Stryhn, Department of Health Management, Atlantic Veterinary College,
room 417S, phone: (902) 894-2847, fax: (902) 566-0823, e-mail: hstryhn@upei.ca.
Henrik Stryhn
(hstryhn@upei.ca) 2004-12-30