2009 Epidemiology/Biostatistics Summer Institute:

Multilevel Models

Instructor:  Elizabeth Colantuoni

Course Developed by:  Elizabeth Colantuoni and Francesca Dominici and Michael Griswold

Course Information:  June 29 to July 3, 1:30 to 3:00 pm, W2015

Computer Lab: W3017 reserved for our course from 3-5pm, Stata 10 is available

Course Evaluation:  Students will be evaluated based on 3 short quizzes and one homework assignment

Course Description:  This course will give an overview of "multilevel statistical models" and their application in public health and biomedical research. Multilevel models are regression models in which the predictor and outcome variables can occur at multiple levels of aggegration: for example, at the personal, family, neighborhood, community and regional levels. They are used to ask questions about the influence of factors at different levels and about their interactions. Multilevel models also account for clustering of outcomes and measurement error in the predictor variables. In this course, we will focus on the main ideas and on examples of multi-level models from public health research. Students will learn to formulate their substantive questions in terms of a multilevel model and to interpret the results of basic analyses. Previous experience with regression analysis is required.

Lectures

1. Statistical Background on Multi-level Models [ppt] [pdf]  
2. Normal Normal Models, Bayes Shrinkage [ppt] [pdf] Quiz 1 Quiz 1 Solution
3. Random Intercept Models [ppt] [pdf] Quiz 2 Quiz 2 Solution
3. Extra: Multiple Random Intercept Model example [ppt] [pdf]  
4. Random Coefficient Models [ppt] [pdf] Quiz 3 Quiz 3 Solution
4. extra notes for lecture 4 [pdf]  
5. Applications of Multi-level Models to Spatial Epidemiology: Dominici 2008 [pdf]  
5. Applications of Multi-level Models to Spatial Epidemiology: Peng 2009 [pdf]  

Homework

You should email me your solution by no later than July 22nd.

Assignment (Word version) here

Assignment (PDF version) here

SOLUTION (PDF version) here

Stata dataset here

Stata do file here

SAS dataset here

SAS code here

Lab Exercises

We will walk through several of these labs during the class time (time permitting) to gain a better understanding of the statistical output and interpretation. The labs are posted below. The datasets are available in both Stata and SAS and the corresponding do-files and SAS files are included.

Lab 1 Introduction here

Lab 1 NMMAPS here

Lab 1 NMMAPS Stata dataset here

Lab 1 NMMAPS Stata do file: Complete listing of commands here

Lab 1 NMMAPS SAS dataset here

Lab 1 NMMAPS SAS program (incomplete) here

Lab 2 Growth Curve Lab here

Lab 2 Growth Curve Lab Stata Do file here

Lab 2 Growth Curve Lab Stata dataset here

Lab 2 Growth Curve Lab SAS dataset here

Lab 2 Growth Curve Lab SAS code here

Lab 3 Linear random intercept slope modeling here

Lab 3 Stata dataset here

Lab 3 Stata do-file here

Lab 3 SAS dataset here

Lab 3 SAS code here

Extra materials

Handout walking you through the code to generate the example from the end of the first lecture here

Data from the example at the end of the first lecture STATA here

Data from the example at the end of the first lecture SAS here

SAS code for example at the end of the first lecture on Monday here

UsefulReferences

  Longitudinal Data Analysis, 2nd Edition. Diggle, Liang, Heagerty and Zeger

  Multilevel and Longitudinal Modeling Using Stata, Sophia Rabe-Hesketh and anders Skrondal, Stata Press (August 15, 2005)

  Multilevel Statistical Models. Goldstein, H (1995) New York: Halstead Press.

Ana Diez-Rouz 2000 Annual Review of Public Health paper here

Detailed description of regression estimates from lecture 4 notes here

Useful Links

  Link to Winbugs web site [click here] [Winbugs Movie]  
  Longitudinal Data Analysis course [click here]  
  Bayesian Methods course [click here]  
  Multilevel Statistical Models in Public Health course, by Professor Thomas Louis [click here]  
  UCLA Stat Computing Portal: [click here  
  University of York site on WinBUGS by Gillian Raab [click here  
  Judith Singer's webpage: [click here  
  Google: [click here