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Instructor: Professor Lesa Hoffman (she, her, hers)
Educational Measurement and Statistics Program
Department: Psychological and Quantitative Foundations
Office: 361 Lindquist Center (South); DEO: Dr. Megan Foley Nicpon
Instructor Office: 356 Lindquist Center (South) Instructor Email:
Course Room: North 166 Lindquist Center Course Time:
Office Hours:
Tuesdays and Thursdays 2:00–3:15 PM
Tuesdays and Thursdays 3:15-4:15 PM in the course room
Course Textbook: Multilevel Analysis: An Introduction to Basic and Advanced Multilevel Modeling SAS Resources: Lesa's SAS guide from
SAS MIXED Online Manual
Online Homework: Homework Portal (coming soon) Stata Resources: Lesa's Stata guide from
Stata MIXED Online Manual

Planned Schedule of Events (Printable Syllabus; last updated 7/31/2019)



Topics and Course Materials


8/27 Course Introduction
Lecture 1: Introduction to Multilevel Models (MLMs)
S & B ch. 1-2
8/29 Lecture 2a: Review of Single-Level General Linear Models
Example 2a: Review of General Linear Models in SAS and STATA
Data, Syntax, and Output for Example 2a, 2b, and 2c
Hoffman (2015) ch. 2 sec. 1
2 9/2 FA1 DUE VIA ICON BY 11:59 PM  
9/3 Lecture 2a and Example 2a continued
Lecture 2b: Interactions among Continuous Predictors
Example 2b: Interactions among Continuous Predictors in SAS and STATA
Hoffman (2015) ch. 2 sec. 2
Lecture 2b and Example 2b continued
Hoffman (2015) ch. 2 sec. 3+
3 9/9 FA2 DUE VIA ICON BY 11:59 PM  
9/10 Lecture 2c: Interactions among Categorical Predictors
Example 2c: Interactions among Categorical Predictors in SAS and STATA
4 9/16 HW1 DUE ONLINE BY 11:59 PM  
9/17 Topic 3: General MLMs for Two-Level Nested Data S & B ch. 3-7
9/19 Topic 3 continued Rights & Sterba (2019)
5 9/23 FA3 DUE VIA ICON BY 11:59 PM  
9/24 Topic 3 continued Raudenbush & Bryk (2002) ch. 5
9/26 Topic 3 continued Enders (2010) ch. 3-5
6 9/30 HW2 DUE ONLINE BY 11:59 PM  
10/1 Topic 4: General MLMs for Two-Level Crossed Data S & B ch. 13
10/3 Topic 4 continued Raudenbush & Bryk (2002) ch. 12
Hoffman (2015) ch. 12
7 10/7 NO HW OR FA DUE  
10/8 Topic 5: Review of Single-Level Generalized Linear Models DeMaris (2003)
8 10/14 FA4 DUE VIA ICON BY 11:59 PM  
10/15 Topic 5 continued  
10/17 Topic 6: Generalized MLMs for Two-Level Nested Data S & B ch. 10, 17
Bauer (2009)
9 10/21 HW3 DUE ONLINE BY 11:59 PM  
10/22 Topic 6 continued Nakagawa & Schielzeth (2010)
10/24 Topic 6 continued Hox (2010) ch. 6-7
10 10/28 FA5 DUE VIA ICON BY 11:59 PM  
10/29 Topic 7: Generalized MLMs for Two-Level Crossed Data Rijmen et al. (2003)
10/31 Topic 7 continued  
11 11/4 HW4 DUE ONLINE BY 11:59 PM  
11/5 Topic 8: MLMs for Two-Level Multivariate and Path Analysis Ludtke et al. (2008)
11/7 Topic 8 continued Preacher et al. (2010, 2011)
12 11/11 FA6 DUE VIA ICON BY 11:59 PM  
11/12 Topic 8 continued Hoffman (2019)
11/14 Topic 8 continued  
13 11/18 HW5 DUE ONLINE BY 11:59 PM  
11/19 Topic 9: MLMs for Three-Level Data Hoffman (2015) ch. 11
11/21 Topic 9 continued  
14 11/25 NO HW OR FA DUE  
15 12/2 NO HW OR FA DUE  
12/3 Topic 9 continued  
12/5 Topic 9 continued  
16 12/9 FA7 DUE VIA ICON BY 11:59 PM  
12/10 Topic 10: TBD TBD
12/12 Topic 10 continued  
17 12/20 HW6 DUE BY 11:59 PM ONLINE

Schedule of Topics and Events:

The planned schedule of topics and events may need to be adjusted throughout the course. The online syllabus above will always have the most current schedule and course materials.

Course Objectives, Materials, and Pre-Requisites:

This course will illustrate the uses of multilevel models (i.e., general linear mixed-effect models, hierarchical linear models) for the analysis of clustered data (persons nested in groups). The course is organized to take participants through each of the cumulative steps in a multilevel analysis: deciding which type of model is appropriate, organizing the data and creating predictor variables, testing fixed and random effects, predicting multiple sources of variation, and interpreting and presenting empirical findings. Class time will be devoted primarily to lectures and examples. Lecture materials will be available for download at the website above the day prior to class, or else paper copies can be requested. Video recordings of the class lectures will also be available online but are not intended to take the place of class attendance. Book chapters and journal articles will be assigned for each specific topic as needed; the initial list of readings below may be updated later. There will be no exams nor any required attendance outside the regular class time. However, because the course will have an applied focus requiring the use of statistical software, instructor office hours will also be held in a group-based format, in which multiple participants will have opportunities to work on course assignments simultaneously and receive immediate assistance. Participants should be comfortable with estimating and interpreting general linear models (i.e., analysis of variance, regression) prior to enrolling in this course.

Course Requirements:

Participants will have the opportunity to earn up to 100 total points in this course. Up to 86 points can be earned from homework assignments (approximately 6 in total)—these will be graded for accuracy. Up to 14 points may be earned from submitting outside-of-class formative assessments (approximately 7 in total); these will be graded on effort only—incorrect answers will not be penalized. Please note there will also be an opportunity to earn up to 3 points of extra credit (labeled as homework 0; see the above syllabus). There may be other opportunities to earn extra credit at the instructor's discretion.

Policy on Late Homework Assignments and Incompletes:

In order to be able to provide the entire class with prompt feedback, homework assignments submitted any time after the deadline will incur a 3-point penalty. However, extensions will be granted as needed for extenuating circumstances (e.g., conferences, comprehensive exams, family obligations) if requested at least two weeks in advance of the due date. Late or incomplete outside-of-class formative assessments will incur a 1-point penalty when submitted. A final grade of “incomplete” will only be given in dire circumstances and entirely at the instructor's discretion.

Final grades will be determined according to the proportion earned of the total possible points:

>96 = A+, 93–96 = A, 90–92 = A−, 87–89 = B+, 83–86 = B, 80–82 = B−, 77–79 = C+, 73–76 = C, 70–72 = C−, 67–69 = D+, 63–66 = D, 60–62 = D−, <60 = F

Academic Misconduct:

As a reminder, the University of Iowa College of Education has a formal policy on academic misconduct, which all students in this course are expected to follow. Please consult the instructor if you have questions.

Accommodating Students with Disabilities:

Students with disabilities or who have other special needs are encouraged to contact the instructor for a confidential discussion of their individual needs for academic accommodation.

Respect for Diversity:

It is my intent that students from ALL backgrounds and perspectives feel welcome and encouraged to participate in this course. There is no such thing as a “stupid” question. All course participants—enrolled students and auditors—should always feel welcome to ask whatever questions will be helpful in helping them understand and follow the course content. You may do so during class, in office hours, over email, or in individual appointments with the instructor (available by request).

Respect for the Rest of Your World:

The instructor realizes that this course is not your only obligation in your work or your life. If work or life events (expected or unexpected) may compromise your ability to succeed in this course, PLEASE contact the instructor for a confidential discussion (in person or over email, as you prefer) so that we can work together to make a plan for your success. Please do not wait to do so until you are too far behind to catch up!

Course Software:

Participants will also need to have access to software that can estimate the models presented. Although the course will feature SAS and Stata primarily, other software packages (e.g., SPSS, R) can also be used to complete homework assignments. These packages are freely available to University of Iowa members through the UIowa Virtual Desktop. Please note that Stata is only available when using the Virtual Desktop on campus, whereas SAS is available remotely as well.

Course Textbook (to be purchased):

S & B: Snijders, T. A. B., & Bosker, R. J. (2012). Multilevel analysis: An introduction to basic and advanced multilevel modeling. Thousand Oaks, CA: Sage.

Other Course Readings (available via "Files" in Icon):

Bauer, D. (2009). A note on comparing the estimates of models for cluster-correlated or longitudinal data with binary or ordinal outcomes. Psychometrika, 74 (1), 97-105.

DeMaris, A. (2003). Logistic regression. In I. B. Weiner, D. K. Freedheim, J. A. Shinka, & W. F. Velicer (Eds.) Handbook of Psychology, Research Methods in Psychology (pp. 509-532). Hoboken, NJ: Wiley.

Enders, C. K. (2010). Applied missing data analysis. New York, NY: Guilford.

Hoffman, L. (2015). Longitudinal analysis: Modeling within-person fluctuation and change. New York, NY: Routledge Academic.

Hoffman, L. (2019). On the interpretation of parameters in multivariate multilevel models across different combinations of model specification and estimation. Forthcoming in Advances in Methods and Practices in Psychological Science.

Hox, J. (2010). Multilevel analysis: Techniques and applications (2nd ed). New York, NY: Routledge Academic.

Lüdtke, O., Marsh, H. W., Robitzsch, A., Trautwein, U., Asparouhov, T., & Muthén, B. (2008). The multilevel latent covariate model: A new, more reliable approach to group-level effects in contextual studies. Psychological Methods, 13(3), 203-229.

Nakagawa, S., & Schielzeth, H. (2010). Repeatability for Gaussian and non-Gaussian data: A practical guide for biologists. Biological Reviews, 85, 935-956.

Preacher, K. J., Zhang, Z., & Zyphur, M. J. (2011). Alternative methods for assessing mediation in multilevel data: The advantages of multilevel SEM. Structural Equation Modeling, 18, 161-182.

Preacher, K. J., Zyphur, M. J., & Zhang, Z. (2010). A general multilevel SEM framework for assessing multilevel mediation. Psychological Methods, 15(3), 209-233.

Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Thousand Oaks, CA: Sage.

Rights, J. D., & Sterba, S. K. (2019). Quantifying explained variance in multilevel models: An integrative framework for defining R-squared measures. Psychological Methods, 24(3), 309-338.

Rijmen, F., Tuerlinckx, F., De Boeck, P., & Kuppens, P. (2003). A nonlinear mixed model framework for item response theory. Psychological Methods, 8(2), 185-205.