## Latent Variable Modeling (Soc 609)

### Selected Topics in Structural Equation Modeling and Multivariate Scaling

Spring 2019 — Tues/Thurs 3:00 - 4:15pm

**Syllabus****Assignments****Example Articles****(password required)****Lecture Slides**- Topics covered include: summated scales; exploratory factor analysis; confirmatory factor analysis; item response theory; latent class analysis; structural equation modeling; measurement invariance and differential item functioning

**Lecture do-files****Stata Setup do-file****Handouts / Supplementary****Introduction to Stata**

### Course Description

Many concepts of fundamental interest to social scientists are not directly observable. A person’s political ideology, their level of racial prejudice, someone’s personality traits, the propensity to engage in risky behavior, the presence or absence of a mental illness, a person’s ability, someone’s health lifestyle, and more are all examples of latent variables.

To start, we will learn several different multivariate scaling techniques for modeling latent variables from multiple observed indicators. We will consider scaling strategies that allow continuous, ordinal, nominal, and binary observed indicators. We will also consider scaling techniques for both continuous and nominal latent variables. Specific techniques for scaling we cover include exploratory factor analysis, confirmatory factor analysis, latent class analysis, item response theory, and some variants of each of these.

Next, the class covers how to incorporate latent variables into the regression framework. We consider how to estimate and interpret a regression model when either the dependent or independent variable is latent. The course ends by covering methods for simultaneous model estimation. Simultaneously estimating multiple models allows for comparisons of the effects of observed and/or latent variables across multiple models. We will also consider how multiple groups (observed or latent) can be incorporated into a simultaneous equation framework. These types of methods are useful, e.g., when the process being examined may differ across observed groups (e.g. men and women) or across groups that are latent.