A CSCAR Workshop
presented by the
Center for Statistical Consultation and Research, the University of Michigan
and the
Ann Arbor and Detroit Chapters of the American Statistical Association
Categorical Latent Variable Modeling in Mplus
November 10 and 11, 2008
This short course discusses recent advances in latent variable modeling. Models and applications are discussed using the general
modeling framework of the Mplus program (www.statmodel.com). The generality of the Mplus framework comes from the unique
use of both continuous and categorical latent variables. While continuous latent variables have seen frequent use in factor analysis,
structural equation modeling, and random effects growth modeling, modeling that includes categorical latent variables (i.e., finite
mixture modeling) is less wide-spread in practice. The short course focuses on recently developed models that use categorical
latent variables, either alone or with continuous latent variables. An overview of conventional and new techniques is given, includ-
ing complier-average causal effect estimation (regression mixture analysis), latent class analysis, factor and IRT mixture modeling,
latent transition analysis, growth mixture modeling, and survival analysis with latent variables. For each topic, issues of model
specification, identification, ML estimation, testing, and model modification are discussed. Several health examples are examined.
Modeling strategies are presented. Mplus input setups are provided, and Mplus output is used for interpretation of analysis results.
The presentation is in lecture format with no need for computer analyses.
Course content:
Categorical latent variable modeling with cross-sectional data
• Linear, logit, and count regression mixture analysis
• Randomized response modeling of sensitive questions
• Complier-average causal effect (CACE) estimation in randomized trials
• Latent class analysis
• Latent class analysis with covariates
• Confirmatory latent class analysis, twin modeling
• Violations of conditional independence
• Factor mixture modeling, IRT mixture modeling
Categorical latent variable modeling with longitudinal data
• Hidden Markov modeling, latent transition analysis
• Latent class growth analysis
• Growth mixture modeling with latent trajectory classes
• Randomized trials and treatment effects varying across latent trajectory classes
• Latent class growth analysis vs. growth mixture modeling
• Numerical integration, mixtures, and nonparametric representation of factor (random effect) distributions
• Discrete- and continuous-time survival modeling with latent variables
Instructor:
Bengt O. Muthén (PhD, Statistics, Uppsala University), Professor Emeritus at the Graduate School of Education & Information Studies
at UCLA. Dr. Muthén is one of the developers of the Mplus computer program, which implements many of his statistical procedures.
His research interests focus on the development of applied statistical methodology in areas of public health and education. Public health
applications involve developmental studies in epidemiology and psychology while education applications concern achievement develop-
ment. Methodological areas include latent variable modeling, analysis of individual differences in longitudinal data, preventive intervention
studies, analysis of categorical data, multilevel modeling, and the development of statistical software.
Prerequisite: Knowledge of categorical data analysis such as logistic regression is required.
Provisions: The enrollee will receive lecture notes and a continental breakfast on both days.
When: Monday and Tuesday, November 10 and 11, 2008, 9:00 AM – 5:00 PM
Location: Amphitheatre in the Rackham Building (4th floor); 915 E. Washington, Ann Arbor, MI
Fee: $175 for University of Michigan affiliated faculty and staff and for ASA members; $75 for students; $350 for others
Please make a check payable to CSCAR—University of Michigan, or give the University of Michigan Project/Grant or Short Code to be
billed. Send the check to CSCAR, 3550 Rackham Bldg., University of Michigan, 915 E. Washington St., Ann Arbor, MI 48109-1070.
Registration: Call CSCAR (734) 764-7828. Enrollment is limited.
40 AMSTAT NEWS AUGUST 2008
Page 1 |
Page 2 |
Page 3 |
Page 4 |
Page 5 |
Page 6 |
Page 7 |
Page 8 |
Page 9 |
Page 10 |
Page 11 |
Page 12 |
Page 13 |
Page 14 |
Page 15 |
Page 16 |
Page 17 |
Page 18 |
Page 19 |
Page 20 |
Page 21 |
Page 22 |
Page 23 |
Page 24 |
Page 25 |
Page 26 |
Page 27 |
Page 28 |
Page 29 |
Page 30 |
Page 31 |
Page 32 |
Page 33 |
Page 34 |
Page 35 |
Page 36 |
Page 37 |
Page 38 |
Page 39 |
Page 40 |
Page 41 |
Page 42 |
Page 43 |
Page 44 |
Page 45 |
Page 46 |
Page 47 |
Page 48 |
Page 49 |
Page 50 |
Page 51 |
Page 52 |
Page 53 |
Page 54 |
Page 55 |
Page 56 |
Page 57 |
Page 58 |
Page 59 |
Page 60 |
Page 61 |
Page 62 |
Page 63 |
Page 64 |
Page 65 |
Page 66 |
Page 67 |
Page 68