STAT / PSYC 588

Covariance Structure Modeling

Introduction to covariance structure models, linear structural equations, and factor analysis; identification and parameter estimation problems; assessing goodness-of-fit; use of up-to-date computer software implementing current estimation methods; applications to a wide variety of social and behavioral science modeling problems.

Syllabus

Exam Topics

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Presentation Schedule

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Tentative Course Schedule
M W F
Date Reading/Notes Date Reading/Notes HW
01/19 01/21 Path Analysis: B2

  • McArdle & McDonald (1984)
01/26 01/28 Review of OLS, Matrix algebra; B Appendix A + B, Intro to R 1
02/02 SEM with observed variables: Implied Model and Identification, B4

02/04 2
02/09 Observed SEM: Estimation Matrix Calculus

02/11 3
02/16 Consequences of Measurement Error, B5

02/18 CFA: Implied Model, Identification; B7

4
02/23 CFA Identification:

  • Reilly, O’Brien (1996)
  • Bollen, Bauldry (2010)
02/25 CFA: Estimation; B7

5
03/02 CFA: Model Fit; B7

03/04 CFA: Second-Order Factor Models; B7

6
03/09 Categorical/Ordinal Data, B 433-447

03/11 Categorical/Ordinal Data, B 409-415

7
03/16 CFA: Estimation – Instrumental Variables: B 409-415

  • Hagglund (1982)
  • Bollen & Maydeu-Olivares (2007)
03/18 Bayesian Item Response Theory

8
03/23 Spring Break 03/27 Spring Break
03/30 Measurement Invariance/ Comparing Groups, B 355-369

04/01 Paired Comparisons, ranked data

  • Brown & Maydeu-Olivares (2012)
  • Brown & Maydeu-Olivares (2011)
  • Maydeu-Olivares & Bockenholt (2005)
  • Maydeu-Olivares & Hernandez (2007)
  • Tsai (2010)
  • R code
9
04/06 SEM with latent variables I, B8·

04/08 SEM with latent variables II, B9·

  • Bohrnstedt & Goldberger (1969)
  • Bollen (1995)
  • Klein & Moosbrugger (2000)
  • Kenny & Judd (1984)
04/13 Latent Interactions, Quadratics

04/15 AERA/NCME
04/20 Latent Growth Curve Modeling:

04/22 TBA 10
04/27 Presentations 04/29 Presentations
05/04 Presentations 05/06 Exam