# Latent Variable Models

### From Wiki1

## Relation to multilevel models

Papers on the relationship between the multilevel/mixed modeling and structural equation modeling (SEM) with latent variables:

- Bauer, D.J. (2003). Estimating multilevel linear models as structural equation models.
*Journal of Educational and Behavioral Statistics, 28,*135-167. [1]

- Curran, P.J. (2003). Have multilevel models been structural equation models all along?
*Multivariate Behavioral Research, 38,*529-569. [2]

## Power analysis and sample size

- Script generator (SPSS, R) to determine sample size and power on SEM models [3]
- SAS macro, csmpower, for prospective and retrospective power analysis using RMSEA

## Latent Class Analysis/Latent Transition Analysis

- J. Uebersax page on software for LCA including links [4]
- The link to lem seems to be incorrect use this one lem by Jeroen Vermunt

- Mplus input example to fit LCA model for categorical indicators File:Mplus lca example.txt
- From the SAS & R blog Example 8.21 Latent Class Analysis
- Bray, B. C., Lanza, S. T., & Collins, L. M. (2010). Modeling Relations among Discrete Developmental Processes: A General Approach to Associative Latent Transition Analysis.
*Structural Equation Modeling: A Multidisciplinary Journal , 17*(4), 541-569. URL http://dx.doi.org/10.1080/10705511.2010.510043 - Patrick F. Sullivan, M.D., F.R.A.N.Z.C.P., Ronald C. Kessler, Ph.D., and Kenneth S. Kendler, M.D. (1998)
*Latent Class Analysis of Lifetime Depressive Symptoms in the National Comorbidity Survey*, Amer. J. Psychiatry.