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University of Nebraska-Lincoln |
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Instructor: |
Dr. Lesa Hoffman |
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Email: |
Phone: |
(402) 472-6930 |
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Rooms: |
77 and 227/234 Burnett Hall |
Office: |
220 Burnett Hall (mailbox in 237) |
| Time: | 10:30-11:45 MWF (3 credits) | Office Hours: |
2:30-3:30 MWF, 3:30-4:30 WF, and by appointment |
Links under topics below are .pdf files for the lecture materials.
Versions of the .pdf files including the answers will be available after each class under "answers".
Audio links are .mp3 files taped from the class lecture (right-click, use "save target/link as").
| Week | Date | Topic and Downloads | Readings & Manuals |
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| 1a | 8/24 | Course Introduction (audio) Lecture: Introduction to Multilevel Models for Longitudinal Data (audio) |
Hoffman ch. 1 S & B ch. 1-2 |
| 1b | 8/26 | Lecture: General Linear Models for Between-Person Analysis (audio) Example: Between-Person and Within-Person Models in SPSS and SAS (answers) (audio1-BP) (audio2-WP) |
S & W ch. 1-2 |
| 1c | 8/28 | Lecture: Repeated Measures ANOVA for Within-Person Analysis (audio1) Example: (rest of example from 1b - see audio2-WP) (audio3) (audio4) |
M & D ch. 12-13 |
| 2a | 8/31 | MEET IN 234 LAB -- Introduction to SAS (audio) | |
| 2b | 9/02 | Repeated Measures ANOVA for Within-Person analysis, continued Lecture: From Repeated Measures ANOVA to Multilevel Models (audio) Example: Baseline Longitudinal ANOVA Models for Practice Effects Example: Baseline Longitudinal MIXED Models for Practice Effects (audio is combined across examples) (audio1) (audio2) |
M & D ch. 14-15 S & B ch. 12 |
| 2c | 9/04 | Lecture: Fun with Model Comparisons (audio) Chi-Square Table of Critical Values Example (2b) continued Spreadsheet of Predicted Values and Model Comparisons for Example 2b |
S & B ch. 6 |
| 3a | 9/07 | NO CLASS | |
| 3b | 9/09 | *Final Project Available* Baseline Longitudinal Model Examples, continued Lecture: Modeling Variation with Alternative Covariance Structures (audio1) (review of 1 and 2) (audio3) (audio5) Example: Practice with Alternative Covariance Structures (audio2) (audio4) |
S & W ch. 7 |
| 3c | 9/11 | Example (3b), continued | Wallace & Green (2002) |
| 4a | 9/14 | NO CLASS | |
| 4b | 9/16 | MEET IN 227 LAB -- Begin Assignment #1: Unconditional Alternative Covariance Structure Models |
DON'T NEED TO PRINT! SAS MIXED Manual SPSS MIXED Manual My MIXED Guides |
| 4c | 9/18 | Lecture: Modeling Within-Person Change using Random Effects (audio1) (audio2) |
S & W ch. 3-4 |
| 5a | 9/21 | MLM Vocabulary Exercise (answers) (audio) Example: Practice with Fixed and Random Effects (answers) (audio) Lecture: Polynomial Models of Change (audio1) (audio2) (rest in audio2 of example 6b) |
Singer (1998) |
| 5b | 9/23 | Polynomial Models (5a), continued | Willett (1989) |
| 5c | 9/25 | Assignment #1 due via email by 11:59 PM Polynomial Models (5a), continued |
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| 6a | 9/28 | *Recommended due date for Part 1 of Final Project* Feedback on Assignment #1 MEET IN 234 LAB -- Practice with Unconditional Models of Change (Polynomial Simulation audio) (activity audio1) (activity audio2) |
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| 6b | 9/30 | Example: Polynomial Models of Practice Effects (answers) (audio1) (audio2) Spreadsheet of Plots and Predicted Values |
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| 6c | 10/02 | Polynomial Models (6b), continued | |
| 7a | 10/05 | Revisions of Assignment #1 due via email by 11:59 PM MEET IN 234 LAB -- Begin Assignment #2: Unconditional Random Effects Models |
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| 7b | 10/07 | NO CLASS | |
| 7c | 10/09 | NO CLASS | |
| 8a | 10/12 | Lecture: Piecewise Models of Change (audio) Example: Piecewise Models of Practice Effects (answers) (audio1) (audio2) |
S & W ch. 5-6 Hernandez et al. (2004) |
| 8b | 10/14 | Assignment #2 due via email by 11:59 PM Piecewise models (8a), continued Lecture: Modeling Within-Person Variation vs. Within-Person Change (audio1) (audio2) Lecture: Summary of Unconditional Longitudinal Models (audio) |
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| 8c | 10/16 | Feedback on Assignment #2 Lectures (8b), continued |
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| 9a | 10/19 | NO CLASS | |
| 9b | 10/21 | Lecture: Review of Interpreting Interactions (answers) Example: Practice Interpreting Interactions (answers) (combined audio1 audio2) Spreadsheet to Plot Two-Way Interactions |
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| 9c | 10/23 | Lecture: Missing Data; Adding Time-Invariant Predictors (audio1) (audio2) Example: Time-Invariant Predictors of Practice Effects (answers) (audio1) (audio2) (audio3) Spreadsheet to Plot Time-Invariant Predictor Effects |
Schafer & Graham (2002) |
| 10a | 10/26 | Time-Invariant Predictors (9c), continued | |
| 10b | 10/28 | Revisions of Assignment #2 due via email by 11:59 PM Time-Invariant Predictors (9c), continued |
S & B ch. 3-5 |
| 10c | 10/30 | Example: Practice with Fixed Effect Interactions (answers) Spreadsheet to Plot Three-Way Interactions |
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| 11a | 11/02 | *Recommended due date for Part 2 of Final Project* Lecture: Time-Varying Predictors in Within-Person Variation Models (audio1) (audio2) Example: Lagged Within-Person Effects of Stress (audio1) (audio2) Spreadsheet to Plot Example (11a) |
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| 11b | 11/04 | Time-Varying Predictors Lecture (11a, continued) Example: Between-Person and Within-Person Effects of Negative Mood (answers) (audio1) (audio2) Spreadsheet to Plot Example (11b) |
Hoffman ch. 5 |
| 11c | 11/06 | *Final Project Outline due via email by 11:59* Time-Varying Predictors Lecture (11a, continued) Between-Person and Within-Person Effects Example (11b), continued |
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| 12a | 11/09 | MEET IN 234 LAB -- Begin Assignment #3: Conditional Random Effects Models |
SAS Plotting Guide (no need to print) |
| 12b | 11/11 | MEET IN 227 LAB -- Open lab time for Assignment #3 |
SAS Line Types SAS Symbol Types |
| 12c | 11/13 | Time-Varying Predictors Lecture (11a, continued) Between-Person and Within-Person Effects Example (11b), continued |
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| 13a | 11/16 | NO CLASS | |
| 13b | 11/18 | Between-Person and Within-Person Effects Example (11b), continued |
Sliwinski & Buschke (2004) |
| 13c | 11/20 | Assignment #3 due via email by 11:59 PM Between-Person and Within-Person Effects Example (11b), continued Lecture: Time-Varying Predictors in Within-Person Change Models (audio) Example: Between-Person and Within-Person Effects of Grip Strength (answers) (audio1) |
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| 14a | 11/23 | Feedback on Assignment #3 Time-Varying Predictors of Change Example (13b), continued |
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| 14b | 11/25 | NO CLASS |
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| 14c | 11/27 | NO CLASS | |
| 15a | 11/30 | *Recommended due date for Part 3 of Final Project* MEET IN 234 LAB -- Open time to work on assignment 3 or final projects |
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| 15b | 12/02 | Example: NLMIXED for Truly Nonlinear Models of Change Spreadsheet for Predicted Values |
Cudeck & Harring (2007) |
| 15c | 12/04 | Revisions of Assignment #3 due via email by 11:59 PM Lecture: Preview of Advanced Multilevel Modeling (Psyc 945) Course Evaluations |
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| 16a | 12/07 | Student Presentations | |
| 16b | 12/09 | *Last Day to Turn in Drafts of Final Project via email by 11:59 PM* Student Presentations |
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| 16c | 12/11 | Student Presentations | |
| 17 | 12/16 | *Complete Final Project due via email by 11:59 PM* |
This course will illustrate the uses of multilevel models (aka general linear mixed models, hierarchical linear models) for longitudinal data analysis. The course is organized to take participants through each of the cumulative steps in a longitudinal (multilevel) analysis: deciding which type of model is appropriate, setting up the data file and coding variables, evaluating fixed and random effects and/or alternative covariance structures, predicting between- and within-person variation using covariates, interpreting and displaying empirical findings, and presenting results in both verbal and written form. Class time will be devoted primarily to lectures and examples. Lecture materials in .pdf format will be available for download at the website above the day prior to class, or else paper copies will be provided in class. Audio recordings of the class lectures in .mp3 format will also be posted online, but are not intended to take the place of class attendance. Because the course will be applied, course sessions will also be held in the 227/234 Burnett computer labs (see syllabus for dates), in which participants will have opportunities for hands-on practice and to work on course assignments. SAS will be the only program utilized, and lab time will also be used to orient participants to data manipulation, analysis, and graphing in SAS.
Participants should be familiar with the general linear model (analysis of variance, regression) prior to enrolling in this course, but no previous familiarity with mixed models (other than repeated measures ANOVA) is assumed. Participants will need to have access to SAS software, available in rooms 234, 227, and 230 Burnett. Student licenses can be purchased from the stats department (around $25; yearly renewal required). Course assignments will include both essay questions and application of techniques discussed in class, and will utilize data sets provided by the instructor. Participants are strongly encouraged to use a longitudinal data set within their substantive area for the final project, but example data sets can also be made available. Requirements for the final project dataset will be discussed in more detail throughout the semester. Finally, this course is intended to serve as a precursor to Psyc945: Advanced Multilevel Modeling (to be taught spring 2010).
Course performance will be evaluated as follows. Details about each requirement will be presented throughout the semester prior to the due dates.
Course Assignments:
Three assignments (65 points) will be administered in order to give participants the practice applying techniques discussed in class and will be due as listed on the online syllabus. Each assignment must be at least 3/4 complete in order to be accepted and may be revised ONCE to earn the maximum possible points. Assignments should be submitted electronically via email as a Microsoft Word document using this naming convention: 944_FirstLast_HW# (adding an “r” for a revision). Please use the ‘track changes' function in Microsoft word when revising assignments.
Final Project and Presentation:
Participants will complete an independent project utilizing ideas and techniques discussed through the semester (25 points) and will be due as noted on the online syllabus. The results of the project will also be presented in a 12-minute talk (10 points), to be given at the end of the semester. A project outline (5 points) will be due prior to the end of the semester as noted on the syllabus.
Policy on Assigning Incompletes:
A grade of “incomplete” will be assignment ONLY in the case of extenuating circumstances that prevent participants from completing course requirements in a timely manner. If an incomplete is assigned, then all course requirements must be completed within ONE MONTH of the end of the course or else the incomplete will turn into whatever grade has been earned at that point.
Policy on Late Assignments:
If other obligations or circumstances will prevent you from completing any course requirements, please contact me so that we can create a solution. Don't wait until you are behind! If you contact me at least two weeks prior to a due date we may be able to extend the deadline to accommodate any extenuating circumstances. Otherwise, late assignments will be docked .5 points per business day in order to encourage participants to keep up with the course. Points lost to lateness will not be returned.
Final grades for Psychology 944 will be determined according to the proportion earned of 105 possible points:
>=97= A+ 93-96= A 90–92= A- 87-89= B+ 83-86= B 80-82= B- <80= C
As a reminder, the University has a policy on academic honesty (see the Graduate Studies Bulletin). Although data sets may be shared, all course assignments should be done individually and all final projects should be unique.
Students with disabilities are encouraged to contact the instructor for a confidential discussion of their individual needs for academic accommodation. It is the policy of the University of Nebraska-Lincoln to provide flexible and individualized accommodation to students with documented disabilities that may affect their ability to fully participate in course activities or to meet course requirements. To receive accommodation services, students must be registered with the Services for Students with Disabilities (SSD) office, 132 Canfield Administration, 472-3787 voice or TTY.
S & B: Snijders, T. A. B., & Bosker, R. (1999). Multilevel analysis. Thousand Oaks, CA: Sage.
Book Chapters:
Hoffman, L. (in preparation). Longitudinal analysis: Modeling within-person variation and change. NY, NY: Routledge Academic.
M & D: Maxwell, S. E., & Delaney, H. D. (2004). Designing experiments and analyzing data. Mahwah, NJ: Erlbaum.
Wallace, D., & Green, S.B. (2002). Analysis of repeated measures designs with linear mixed models. In D.S. Moskowitz & S.L. Hershberger (Eds.), Modeling intraindividual variability with repeated measures data (pp. 103-134). Mahwah, NJ: Erlbaum.
Journal Articles:
Cudeck, R., & Harring, J. R. (2007). Analysis of nonlinear patterns of change with random coefficient models. Annual Review of Psychology, 58, 615-637.
Hernandez-Lloreda, M. V., Colmenares, F., & Martinez-Arias. (2004). Application of piecewise hierarchical linear growth modeling to the study of continuity in behavioral development of Baboons (Papio hamadryas). Journal of Comparative Psychology, 118(3), 316-324.
Hoffman, L. (2007). Multilevel models for examining individual differences in within-person variation and covariation over time. Multivariate Behavioral Research, 42 (4), 609-629.
Schafer, J. L., & Graham, J. W. (2002). Missing data: Our view of state of the art. Psychological Methods, 7(2), 147-177.
Singer, J. D. (1998). Using SAS PROC MIXED to fit multilevel models, hierarchical models, and individual growth models. Journal of Educational and Behavioral Statistics, 24(4), 323-355.
Sliwinski, M. J., & Buschke, H. (2004). Modeling intraindividual cognitive change in aging adults: Results from the Einstein Aging Studies. Aging, Neuropsychology, and Cognition, 11(2-3), 196-211.
Willett, J.B. (1989). Some results on reliability for the longitudinal measurement of change: Implications for the design of studies of individual growth. Educational and Psychological Measurement, 49, 587-602.