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Summer, 2003


Instructor: Chih-Ping Chou
TA: Bin Xie
Class hour: Wednesday 9-12
Office hour: Friday 10-11 (Alhambra Office 5114)

This course will deal with the statistical techniques for factor analysis and structural equation modeling. Both factor analysis (FA) and structural equation model (SEM) are multivariate statistical techniques to analyze association among multiple measures through latent variables (or constructs, factors).

This course will start with relationships among measurable variables (or the Pearson type correlation), regression models, and path models. Basic concepts of Exploratory Factor Analysis (EFA) and Confirmatory Factor Analysis (CFA) will then be discussed. All of these models can be considered as special cases of SEM. SEM can be conceptualized as a path model built upon latent factors.

The purpose of Factor Analysis is to use a set of factors with smaller dimension to represent a set of measurable variables. The EFA tries to explore the underlying factors to explain the relationships among observed variables. The CFA evaluates the relationships through the covariation among factors. The SEM, furthermore, hypothesizes causal relationships among factors to account for the relationships among measured variables. Both FA and SEM offer statistical control of the measurement error in the analyses. The SAS program will be used for the EFA. The EQS program (Bentler, 1995) will be used for CFA and SEM.

This is a 12-week course with 4 units. The first 3-4 weeks will be devoted to basic concepts and geometrical representation of FA techniques. The following 2-3 weeks will concentrate on the application of EQS program. The rest of the semester will focus on the statistical and empirical issues of SEM. Students are encouraged to bring in their own data sets and apply FA or SEM to develop a final term paper. A data set will be available for those who don't have their own data set. There will also be homework assignments and quizzes. Grade will be determined by the homework, final paper, and possible one or two quizzes.

Three textbooks have been ordered through the bookstore:

A. Bentler, P. M. (1995). EQS program manual. Los Angeles: Multivariate Software Inc. (required).
B. Byrne, B. M. (1994) Structural Equation modeling with EQS and EQS/Windows. Thousand Oaks, CA: Sage (required).
C. Bollen, K. A. (1989). Structural Equations with latent variables. Wiley (optional).

Tentative weekly schedule:

Week Topic Chapter
1-2 (May 21, 28) Introduction of FA, correlation, basic concepts of vector, matrix algebra, and geometrical representation of FA. C. Appendix
3 (June 4) Factor extraction and rotation  
4 (June 11) EQS Program A1-A4
5-6 (June 18, 25) Confirmatory Factor Analysis, Structural Equation Modeling, and EQS B1-B7
7 (July 2) LISREL Program C2, C3
8 (July 9) Model Identification C4
9 (July 16) Model estimation and Distribution assumption C5
10 (July 23) Model modification A6
11 (July 30) Moment matrix A8
12 (Aug 6) Multiple group approach A7, B8-B10


Homework (4-5) 20%
Quiz 5%
Midterm 15%
Term paper 60%

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