Multilevel Analysis/Hierarchical Linear Modeling
Examples of Papers that Use Multilevel Models
Handy program and links
Questions or problems regarding this site should be sent to
General Information (MSword
- For those who might want to use Bayesian estimation, I worked up a small example for the empty model, random intercept with one predictor, and a random
intercept and slope model. I also included proc mixed code if you want to compare results. You can change the seed to "-1" and run the mcmc code a few times and
- Comment regarding homework 3: The homework assignement is correct. Use model (s) as requested, which refers to the model (s) from computer labs 2 and 3
(it is written out in detail in the lab instructions for computer lab 3).
- NOTE: I made a mistake in the first session this morning (i.e., I forgot the cross-level interactions).
- Computer lab 3 will be Tuesday October 21. Be sure to look over lab instructions and bring laptop
- Corrected computer lab 2 sheet is now online, as well as answers and SAS for homework/lab1.
- Computer lab 2 will be Thursday Sept 25. Put the lab data onto you remote.webstore account. Half class comes at 9am and the other half at 10am. Bring laptop.
- Computer lab 1 will be Tuesday Sept 9. Half class comes at 9am and the other half at 10am. Bring laptop.
- Draft chapters on GLM, GLMM, and LLM (i.e., HLM).
- Introduction to SAS will be held in rm 22 Tuesday Sept 2, 11-12. Bring your laptop and make sure that you can login to the remote server.
- CHANGE: Correction to syllabus---class meet Tues/Thur 9-10:50 in rm 22 Education.
- cHANGE: TA office hours will be on Tuesday 2-4pm.
- Date \amp Time?: The introduction to SAS computer lab, which is entirely optional, will be held xxxxx. The materials that we will cover are online
- Computing: We will be running statistical software (SAS) using
desktop connection. We will connect to a server that has the software. Note use "UofI" and not "UIUC" as your user name, e.g. I use "UofI\cja".
There are 2 things that you need before you can do this:
- Your computer must be hooked up to the internet (campus, home, hotel, Espresso Royal,
- You must be registered for the class. If you reccently registered, you may not yet have permission to login.
Multilevel Logistic Regression.
Computer Lab Sessions: Bring laptop
- Computer Lab Session 0 (optional): Introduction to SAS
- Computer Lab Session 1: (bring laptop) Tuesday September 9
- Computer Lab Session 2: (bring laptop) Thursday September 26
- Computer Lab Session 3: bring laptop. Tuesday October 21
- Computer Lab Session 4: TBA
Homework Number 2
Homework Number 3:
Homework Number 4:
Final Exam and Projects are due Friday Dec 13 by 5pm.
Examples of Papers that Use Multilevel Models
- Payne, B.R., Gao, X., Noh, S.R., Anderson, C.J., Stine-Morrow, E.A.L. (2011). The effects of print
exposure on sentence processing and memory in older adulats: Evidence for efficiency and reserve. Aging, Neuropsychology, and Cognition.
Some examples of crossed random effects, skewed responses (i.e., reaction times), and discrete response (i.e., Poisson).
- Segerstrom, S.C. & Sephton, S.E. (2010). Optimistic expectanices and cell-mediated immunity: The role
of positive affect. Psychological Science, 21, 448-455.
Example of where cluster centered level one variable is substantive (theoretical) interest. The response variable is numerical/continuous.
- Allen, N.E., Todd, N.R., Anderson, C.J., Davis, S.M., Javdani, Bruehler, V., & Dorsey, H.
(2013). Council-Based approaches to intimate partner violence: Evidence for distal change in system response. American Journal of Community
Psychology, 52, 1-12.
Example of a longitudinal study with creative centering of time. The response variable was a rate (probability).
- Poteat, V.P. & Anderson, C.J. (2012). Developmental changes in sexual prejudice from early to late
adolescence: The effects of gener, race, and ideology on different patterns of change. Developmental Psychology, 48, 1403-1415.
Example of an accelerated longitudinal design.
- Examples from Tom Snijders course web-page where multilevel models have been used. (click on "info course multilevel" on left and go to
bottom of page. These papers cover a range of topics (e.g., political science, sociology, school psychology, criminology, medicine, and others).
Example SAS Programs (ascii/text format):
Examples from Snijders & Bosker using SAS
Examples from Chapter 4 of Kreft & de Leeuw (provided and written
by Carol Nickerson):
Create SAS data for examples in Chapters 4 and 5.
Example 2-level analyses from Chapter 4 (random intercept models).
Example 2-level analyses from Chapter 5 (random intercept and
Examples analyses from Chapter 12 (longitudinal data analysis),
including creating sas dataset.
Handy Programs and Links:
SAS code that creates data set and fits models reported in Kreft &
Raw data file that is used as input to school23.sas.
Ones specific to multilevel modeling:
A FORTRAN program that computes large sample confidence intervals for a
A FORTRAN program that computes p-values and (bonferroni) critical values
for the standard normal, chi-squared, t, and F distributions (and for correlations).
For users of PC type computers,
is an executable (i.e. already compiled) program.