BIOS 346: Advanced Regression Analysis II (Generalized Linear and Longitudinal Models)

Instructor

• Jonathan Schildcrout, PhD, Associate Professor of Biostatistics
• jonny.schild@vanderbilt.edu
• 11118A: 2525 West End Ave Building
• 343-5432

Teaching Assistant

• Nate Mercaldo, MS
• nate.mercaldo@Vanderbilt.Edu

Schedule

• Lectures: Tuesday and Thursday 9:00-10:30, Small Classroom, 11th floor, 2525 WEA
• Lab: Friday 9:00-10:00, Small Classroom, 11th floor, 2525 WEA
• Office hours:
  • Jonathan: 10:30am-11:30pm Tuesdays and Thursdays and by appointment.
  • Nate: Tuesdays and by appointment

Textbooks

• Required
  • Diggle PJ, Heagerty P, Liang K-Y, Zeger SL. Analysis of Longitudinal Data, 2nd Edition. Oxford University Press, 2002.
• Recommended
  • Verbeke G, Molenberghs G. Linear Mixed Models for Longitudinal Data. Springer Series in Statistics, 20.
  • Molenberghs G, Verbeke G. Models for Discrete Longitudinal Data. Springer Series in Statistics, 2010.

Course Objectives

This course will cover advanced topics in generalized linear models and it will extend general and generalized linear models to the analysis of correlated or longitudinal response data. The vast majority of the course will focus on parametric and semi-parametric regression methods. At the end of the course, students should:

• Understand the theoretical framework for longitudinal data analysis
• Understand statistical properties of longitudinal data analysis methods (e.g., GLMs, mixed effects models, and estimating equations estimators)
• Be able to apply appropriate techniques for inferences in GLM and longitudinal data settings, examine the validity of the approach, and be able to interpret the results.
• Be reasonably familiar with current research topics in longitudinal data methodology and applications.

Course Outline

This course with be comprised of six modules covering mostly distinct topics in generalized linear models and longitudinal data analysis

• GLM Review and Advanced Topics
• Introductory topics in longitudinal data analysis (LDA)
• Linear mixed-effects models
• Marginal models and estimating equation
• Generalized linear mixed-effects models
• Advanced LDA topics

Other information

• Homework needs to be turned in beginning of class on the due date. Often, we will discuss the homework during the Friday discussion section, so it might be helpful to photocopy your homework so you can refer to it.
• Students are encouraged to work together on homework problems, but they must turn in their own write-ups.
• You will often need a laptop for the discussion section on Fridays, but you should not bring them on lecture days

Grading

• Homework: 25%
• Take-home Midterm Exam: 30%
• Take-home Final Exam: 40%
• Class participation: 5%

Lecture and Discussions

Date	Type	Content
1/8	Lecture	Introductions / m1c1 1-15
1/10	Lecture	m1c1 16-38
1/11	Discussion	m1c1 40-46 / HW1 assigned / HW 1 reviewed
1/15	Lecture	m1c1 47-49, 57-64 / m1c2 1-21
1/17	Lecture	m1c2 22-40 (much discussion)
1/18	Discussion	HW 1 turned in; HW1 discussed
1/22	Lecture	m1c2 40-55; m1c3 1-14; HW 2 assigned
1/24	Lecture	m1c3 15-46
1/25	Discussion	m1c3 47-69 (did not cover adjacent category models)
1/29	Lecture	m2c1 1-26
1/31	Lecture	m2c1 27-63
2/1	Discussion	HW 2 turned in; HW 2 discussed
2/5	Lecture	m2c1 63-78; m2c2 1-9; HW 3 assigned
2/7	Lecture	m2c2 10-27
2/8	Discussion	Simulation based power calcs
2/12	Lecture	HW3 turned in; HW4 assigned; m2c2 28-49 (robust SE discussion incomplete)
2/14	Lecture	m2c2 review 44-49; m2c2 49-64 (REML incomplete)
2/15	Discussion	m2c2 review REML; m2c2 65-70; Discussed HW3
2/19	Lecture	HW4 turned in; HW5 assigned; HW4 reviewed (it was a hard one); m3c1 1-20
2/21	Lecture	m3c1 20-31; much discussion of interpretation of variance components
2/22	Discussion	Review for next weeks exam
2/26	Lecture	Jonathan away; HW5 turned in; JoAnn to review HW 5
2/28	Lecture	Midterm exam
3/1	Discussion	Discussed the midterm exam
3/5	Lecture	Spring break: no class
3/7	Lecture	Spring break: no class
3/8	Discussion	Spring break: no class
3/12	Lecture	Discussed exam performance; m3c1 32-52
3/14	Lecture	m3c1 52-66; hw6 assigned
3/15	Discussion	no class; Jonathan out of town.
3/19	Lecture	m3c1 67-84
3/21	Lecture	m3c2 1-34 (not coverlng nlmm 35-67)
3/22	Discussion	hw6 turned in; Reviewed HW6; assigned hw7
3/26	Lecture	m4 1-32
3/28	Lecture	m4 33-60
3/29	Discussion	Discussed and turned in HW 7; HW 8 assigned
4/2	Lecture	Reviewed what we'd learned in M4 so far; M4 60-74
4/4	Lecture	M4 73-88; M5 1-19
4/5	Discussion	Turned in and discussed HW 8; HW 9 assigned
4/9	Lecture	M4 20-42
4/11	Lecture
4/12	Discussion
4/16	Lecture
4/18	Lecture
4/19	Discussion	Final assigned
4/26		Final Due

-- JonathanSchildcrout - 02 Jan 2013