VHM 882 - Analysis of Repeated Measures Models

VHM 882: Statistical Analysis of Repeated Measures Models - Winter Semester 2005

Welcome to the homepage of the directed studies course VHM 882 offered in the winter semester of 2005, at the Department of Health Management, Atlantic Veterinary College. Last updated Apr 8, 2005.

Course outline

This graduate course is a continuation of the directed studies course "Statistical analysis of generalized, linear, and mixed models" (offered as VHM 881). It covers the foundations of statistical models for repeated measures data, i.e. repeated measurements over time on the same subject (e.g. animal). 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). Analysis of repeated measures is introduced in the applied courses VHM 802 and "Introduction to Multilevel Modelling" (offered within the framework of VHM 831), but this course will cover a wider range of methods and 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:
- D: Davis CR (2002), Statistical Methods for the Analysis of Repeated Measurements, Springer, 415pp.
- DH: Diggle PJ, Heagerty P, Liang KY & Zeger SL (2002), Analysis of Longitudinal Data, 2nd ed., Oxford, 379pp.
- MS: McCullogh CE, Searle SR (2000), Generalized, Linear, and Mixed Models, Wiley, 325pp.
- PB: Pinheiro JC & Bates DM (2000), Mixed-Effects Models in S and S-PLUS, Springer, 528pp.
- BR: Brumbach BA, Ryan LM, Schwartz JD, Neas LM, Stark PC & Burge HA (2000), Transitional regression models, with application to environmental time series, Journal of the American Statistical Association 95, 16-27.
- BG: Barbosa MF, Goldstein H (2000), Discrete response multilevel models, Quality and Quantity 34, 323-330.
- LZ: Liang KY & Zeger SL (1986), Longitudinal data analysis using generalized linear models, Biometrika 73, 13-22.
- CZD: Carey VC, Zeger SL & Diggle P (1993), Modelling multivariate binary data with alternating logistic regressions, Biometrika 80, 517-526.
Course schedule:
- lecture (overview) session, open to everybody interested: Fridays 1:30-2:30pm in the AVC Faculty Lounge, except for March 4 (Lecture Theatre C) and March 25 (replaced by March 24, same time and place),
- tutorial (details) session: Fridays 2:30-3:30pm,
- lab session: Tuesday afternoons, starting at 1:00pm,
commencing January 14 and 18, for the lecture/tutorial and lab sessions, respectively.
Assignments and exam:
- Exam (40%, open-book): April 21-26.
- Seminar (30%): April 15.
- Home assignment 1 Feb 22 (15%, open-book), due Mar 8.
- Home assignment 2 Mar 18 (15%, open-book), due Apr 1.

Schedule

Session Date Topics Exercises
1 Jan 14 Introduction and univariate methods: D:1.1-3,1.6-7,2 (notes) D:2.3,4,13
2 Jan 21 Design and sample size issues: D:1.5; DH:1-3 add2_1 , add2_2
3 Jan 28 Multivariate normal methods for repeated measures I: D:3 D:3.1,6,9,11
4 Feb 4 Multivariate normal methods for repeated measures II: D:4 D:4.1,3,8,11
5 Feb 11 Repeated measures ANOVA + Linear mixed model for repeated measures: D:5+6.4.1 D:5.1,5.2,5.4,5.9,6.7
6 Feb 18 Linear mixed model for repeated measures: D:6; MS:7 D:6.1,6.2; add6_1 ; MS:7.1
7 Feb 25 Analysis of linear repeated measures models in S-PLUS/R: PB:5 PB:5.1,5.2; add7_1
8 Mar 4 Generalized linear models for repeated measures: D:9.1-4; DH:7 D:9.2, add8_1
9 Mar 11 Generalized linear mixed models for repeated measures: D:9.7; DH:9; BG add9_1 , add9_2
10 Mar 18 Generalized linear mixed models for repeated measures: D:9.7; DH:9 D:9.3,9.5,9.7
11 Mar 24 Marginal models and GEE for repeated measures: D:9.5-6; DH:8; LZ; CZD D:9.11, add11_1 , add11_2 ,
12 Apr 1 Transitional models for repeated categorical measures: DH:10; BR D:9.12, add12_1 ,
13 Apr 8 Missing values in repeated measures data: D:1.4; DH:13 add13_1
14 Apr 15 Student seminar

Session	Date	Topics	Exercises
1	Jan 14	Introduction and univariate methods: D:1.1-3,1.6-7,2 (notes)	D:2.3,4,13
2	Jan 21	Design and sample size issues: D:1.5; DH:1-3	add2_1 , add2_2
3	Jan 28	Multivariate normal methods for repeated measures I: D:3	D:3.1,6,9,11
4	Feb 4	Multivariate normal methods for repeated measures II: D:4	D:4.1,3,8,11
5	Feb 11	Repeated measures ANOVA + Linear mixed model for repeated measures: D:5+6.4.1	D:5.1,5.2,5.4,5.9,6.7
6	Feb 18	Linear mixed model for repeated measures: D:6; MS:7	D:6.1,6.2; add6_1 ; MS:7.1
7	Feb 25	Analysis of linear repeated measures models in S-PLUS/R: PB:5	PB:5.1,5.2; add7_1
8	Mar 4	Generalized linear models for repeated measures: D:9.1-4; DH:7	D:9.2, add8_1
9	Mar 11	Generalized linear mixed models for repeated measures: D:9.7; DH:9; BG	add9_1 , add9_2
10	Mar 18	Generalized linear mixed models for repeated measures: D:9.7; DH:9	D:9.3,9.5,9.7
11	Mar 24	Marginal models and GEE for repeated measures: D:9.5-6; DH:8; LZ; CZD	D:9.11, add11_1 , add11_2 ,
12	Apr 1	Transitional models for repeated categorical measures: DH:10; BR	D:9.12, add12_1 ,
13	Apr 8	Missing values in repeated measures data: D:1.4; DH:13	add13_1
14	Apr 15	Student seminar

Other information

Student list
Supplementary literature
R programs
Supplementary material for Davis textbook
6 datasets from Diggle et al. textbook, 9 datasets from Diggle et al. textbook
Errata for Diggle et al. textbook (list by Patrick Heagerty)
Errata for McCulloch & Searle textbook (list by Charles McCulloch)

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)