Latent Trait Measurement and Structural Equation Modeling (Fall 2017; EPSY 906; KU)
Course Information
Brief Course Description
EPSY 906, Latent Trait Measurement and Structural Equation Models, provides instruction on contemporary measurement theory and latent variable models for scale construction and evaluation, including confirmatory factor analysis, item response modeling, diagnostic classification models, and structural equation modeling. The course is designed to provide details of such models, from statistical underpinnings to how to run many various types of analyses, combining theoretical and practical perspectives.
As this course is cross-listed with CLDP 948 (taught by Lesa Hoffman of the Child Language Doctoral Program), in an attempt to provide more consistent content, the materials used in this course were created in large part by Lesa Hoffman. For versions of the course taught by Dr. Hoffman, please visit http://www.lesahoffman.com.
The course will use the R statistical program with R Studio and the Lavaan package (Rosseel, 2012) for all computational and data analysis work involved in the course. Additionally, examples will be provided in the Mplus package.
For all other specific information regarding general course policies, course evaluation rubrics, and grading systems, please see the course syllabus at the link below.
All readings will be made available via campus OneDrive shared folder. Please email me for an invitation to this folder.
Course Materials
- Syllabus: EPSY 906, Fall 2017 Syllabus
Helpful R Links and Resources
Introduction to Latent Trait Measurement and Structural Equation Modeling
- Lecture 1 Slides: EPSY906_Lecture01_Intro_Items
- Videos:
- 22 Aug 2017: https://youtu.be/XjWNtQPENCs
- 24 Aug 2017: https://youtu.be/dx3tt-FB7a8
Exploratory Factor Analysis and Principal Components Analysis
- Lecture 2 Slides: EPSY906_Lecture02_EFA_PCA
- Lecture Videos: https://youtu.be/hW5EYt5Z53M
Classical Test Theory for Scale Reliability and Validity
- Lecture 3 Slides: EPSY906_Lecture03_CTT
- Example 3:
- SPSS/SAS: EPSY906_Example03_Alpha
- R: EPSY906_Example03_Alpha
- Lecture Videos: Forthcoming
Confirmatory Factor Analysis
- Lecture 4 Slides: EPSY906_Lecture04_CFA
- Lecture 4 Examples:
- R Notebook (real data): EPSY906_Example04.nb
- R Notebook (simulated data – to try yourself): EPSY906_Example04_CFA_simulated.nb
- Mplus:
- Document: EPSY906_Example04_CFA
- Excel Spreadsheet: EPSY906_Example04_CFA
- Mplus Output: EPSY906_Example04_Mplus_output
- Lecture 4 Videos:
- 5 Sep 2017: https://youtu.be/A1VhVkpI6RU
- 7 Sep 2017: https://youtu.be/a1zlOOckhT4
- 12 Sep 2017: https://youtu.be/HxjKLIz8OIg
- 14 Sep 2017: https://youtu.be/V4QjaVurvrk
- 19 Sep 2017: https://youtu.be/gVz5pxHXsvY
- 26 Sep 2017: https://youtu.be/RVmKRS4qhBM
- 3 Oct 2017: https://youtu.be/xOIwphfUeps
Additional Resources:
Latent Trait Measurement Models for Binary Responses
- Lecture 5 Slides: EPSY906_Lecture05_Binary_Responses
- Lecture 5 Examples:
- R Notebook (real data): EPSY906_Example05_Binary_IFA-IRT_Models.nb
- Mplus:
- Document: EPSY906_Example05_Binary_IFA-IRT_Models
- Excel Spreadsheet: EPSY906_Example05_06a_IFA-IRT
- Mplus Output: EPSY906_Example05_Mplus_Output
- Lecture 5 Videos:
- 10 Oct 2017: https://youtu.be/OmIG72wY88I
- 19 Oct 2017: https://youtu.be/ZCT38fKamA4
- 24 Oct 2017: https://youtu.be/82JBDTTkoi0
- 26 Oct 2017: https://youtu.be/2jbrECxAgp4
- 31 Oct 2017: https://youtu.be/IR5rRkXwLqw
Additional Resources:
Latent Trait Measurement Models for Other Item Responses
- Lecture 6 Slides: EPSY906_Lecture06_Other_Responses
- Lecture 6 Example A:
- R Notebook (real data): EPSY906_Example6A_Ordinal_IFA_Models.nb
- Mplus:
- Document: EPSY948_Example06a_Ordinal_IFA-IRT_Models
- Mplus Output: EPSY906_Example06a_Mplus_Output
- Lecture 6 Example B:
- Mplus:
- Document: EPSY906_Example06b_Non-Normal_Outcome_Models
- Excel Spreadsheet: EPSY906_Example06b
- Mplus Output: EPSY906_Example06b_Mplus_Output
- Mplus:
- Lecture 6 Videos:
- 2 Nov 2017: https://youtu.be/txIEpF-rXJE
Additional Resources:
Measurement Invariance in CFA and Differential Item Functioning in IRT/IFA
- Lecture 7 Slides: EPSY906_Lecture07_Invariance
- Lecture 7 Examples:
- Example 7A (CFA Multiple Group Invariance)
- R Notebook (real data): EPSY906_Example07a_CFA_MG_Invariance.nb
- Mplus:
- Document: EPSY906_Example07a_CFA_MG_Invariance
- Excel Spreadsheet: EPSY906_Example07a_CFA_MG_Invariance
- Mplus Output: EPSY906_Example07a_Mplus_Output
- Example 7B (CFA Longitudinal Invariance)
- R Notebook: EPSY906_Example07b_CFA_Longitudinal_Invariance.nb
- MPlus:
- Document: EPSY906_Example07b_CFA_Longitudinal_Invariance
- Excel Spreadsheet: EPSY906_Example07b_CFA_Longitudinal_Invariance
- Mplus Output: EPSY906_Example07b_Mplus_Output
- Example 7C (IRT/IFA Limited Information Multiple Group Invariance)
- R Notebook: EPSY906_Example07c_IFA_WLSMV_MG_Invariance.nb
- MPlus:
- Document: EPSY906_Example07c_IFA_WLSMV_MG_Invariance
- Excel Spreadsheet: EPSY906_Example07c_WLSMV_MG_Invariance
- Mplus Output: EPSY906_Example07c_Mplus_Output
- Example 7D (IRT/IFA Maximum Likelihood Multiple Group Invariance)
- R Notebook: None (option not available in lavaan)
- MPlus:
- Document: EPSY906_Example07d_IFA_ML_MG_Invariance
- Excel Spreadsheet: EPSY906_Example07d_ML_IFA_MG_Invariance
- Mplus Output: EPSY906_Example07d_Mplus_Output
- Example 7A (CFA Multiple Group Invariance)
- Lecture 7 Videos:
- 7 Nov 2017: https://youtu.be/UZFQg4WhnWk
- 9 Nov 2017: https://youtu.be/VogzCyyYXBA
- 14 Nov 2017: https://youtu.be/0BR0cZZjIS8
- 16 Nov 2017: https://youtu.be/BB1t26N3IfE
Higher-Order and Method Factor Models
- Lecture 8 Slides: EPSY906_Lecture08_Higher-Order
- Lecture 8 Example:
- R Notebook (real data): EPSY906_Example08_Higher-Order_Factors.nb
- Mplus:
- Document: EPSY906_Example08_Higher-Order_Factors
- Mplus Output: EPSY906_Example08_Mplus_Output
- Lecture 8 Videos:
- 28 Nov 2017: https://youtu.be/CSuxAETjh6w
Path Models, Mediation, and Structural Equation Modeling
- Lecture 9 Slides: EPSY906_Lecture09_SEM
- Lecture 9 Examples:
- Example 9A:
- R Notebook (real data): EPSY906_Example09a_Path_Mediation.nb
- Mplus:
- Document: EPSY906_Example09a_Path_Mediation
- Mplus Output: EPSY906_Example09a_Mplus_Output
- Example 9C:
- R Notebook (real data): EPSY906_Example09c_SEM.nb
- Mplus:
- Document: EPSY906_Example09c_SEM
- Mplus Output: EPSY906_Example09c_Mplus_Output
- Example 9A:
- Lecture 9 Videos:
- 30 Nov 2017: https://youtu.be/wwslLz1XDcs
- 5 Dec 2017: https://youtu.be/bfQWCf0fLSY
- 7 Dec 2017: https://youtu.be/JXB1HHuwxR8
Homework Schedule
References
Bauer, D. J., & Hussong, A. M. (2009). Psychometric approaches for developing commensurate measures across independent studies: Traditional and new models. Psychological Methods, 14(2), 101-125.
Chen, F., F., West, S. G., & Sousa, K. H. (2006). A comparison of bifactor and second-order models of quality of life. Multivariate Behavioral Research, 41, 189-225.
Curran, P. J., McGinley, J. S., Bauer, D. J., Hussong, A. M., Burns, A., Chassin, L., Sher, K., & Zucker, R. (2014). A moderated nonlinear factor model for the development of commensurate measures in integrative data analysis. Multivariate Behavioral Research, 49(3), 214-231.
Embretson, S. E., & Reise, S. T. (2000). Item response theory for psychologists. Mahwah, NJ: Erlbaum.
Enders, C. K. (2010). Applied missing data analysis. New York, NY: Guilford.
John, O. P., & Benet-Martinez, V. (2014). Measurement: Reliability, construct validation, and scale construction. In H. T. Reis & C. M. Judd (Eds.), Handbook of research methods in social and personality psychology (pp. 473-503, 2^(nd) ed.). New York, NY: Cambridge University Press.
MacKinnon, D. P. (2008). Introduction to statistical mediation analysis. New York, NY: Routledge Academic.
Maydeu-Olivares, A. (2015). Evaluating the fit of IRT models. In S. P. Reise & D. A. Revicki (Eds.), Handbook of item response theory modeling (pp. 111-127). New York, NY: Taylor & Francis.
Maydeu-Olivares, A., & Coffman, D. L. (2006). Random intercept item factor analysis. Psychological Methods, 11, 344-362.
McDonald, R. P. (1999). Test theory: A unified treatment. Mahwah, NJ: Erlbaum.
Mungas, D., & Reed, B. R. (2000). Application of item response theory for development of a global functioning measure of dementia with linear measurement properties. Statistics in Medicine, 19, 1631-1644.
Preacher, K. J., & MacCallum, R. C. (2003). Repairing Tom Swift’s electric factor analysis machine. Understanding Statistics, 2(1), 13-43.
Reise, S. P. (2012). The rediscovery of bifactor measurement models. Multivariate Behavioral Research, 47, 667-696.
Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research. Organizational Research Methods, 3(1), 4-69.
Wirth, R. J., & Edwards, M. C. (2007). Item factor analysis: Current approaches and future directions. Psychological Methods, 12(1), 58-79.