Course Outline

Allan L. McCutcheon

Week 1

Monday

Class: An Introduction to the Latent Class Model: Causal and Noncausal Analysis 

[Reading: McCutcheon (1987a), Chapters 1 & 2]

-Continuous Data: Regression and Factor Analysis Models

-Categorical Data: Loglinear and Latent Class Models

-Latent vs. Manifest Variables

-Basic Concepts: conditional and Latent Class Probabilities; Local Independence

-Logic and notation of multi-way cross-classifications

-Basic Model Parameters: Specification and restrictions

Tutorial: Exploratory modelling of selected cross-clarifications

Tuesday 

Class: Unrestricted and Restricted Models 

[Reading: McCutcheon (1987a), pg. 27-35, 37-44, McCutcheon 2002]

-The Logic of Confirmatory Models

-Restricting Conditional and Latent Class Probabilities

Tutorial: Model restrictions with LEM

Wednesday 

Class: Model Selection and Evaluation 

[Reading: McCutcheon (1987a), 35-37]

-Partitioning Hierarchical Likelihood Ration Chi-squares

-Additional measures and cell assignment strategies

Tutorial: Model analysis and selection with LEM

Thursday 

Class: Scale Analysis: The Logic and an Example 

 

[Reading: McCutcheon (1987a), Chapter 4]

-The logical foundations of scale analysis

-Restricted latent class models for scale analysis

Tutorial: LEM restrictions for scale analysis

Friday 

Class: Simultaneous Latent Structure Analysis: The Logic and an Example 

[Reading: McCutcheon (1987a), Chapter 5 & McCutcheon (1987b), Pg. 256-275]

-The logic of multiple group comparisons

-Across-group restrictions

Tutorial: Simultaneous latent structure models with LEM

Week 2

Monday 

Class: Simultaneous Latent Structure Analysis: Model Selection 

[Reading: McCutcheon and Hagenaars, 1997]

-Heterogeneity, structural homogeneity, and distributional homogeneity

-Trend analysis with simultaneous latent structure models

Tutorial: Simultaneous latent structure modelling of individually selected cross-classifications

Tuesday

Class: Loglinear Structural Equation Modelling: The Logic and an Example

[Reading: Hagenaars (1993), 1-19, McCutcheon and Mills (1998)]

-The logic of causal models with latent variables

-Causal models as restricted latent class models

Tutorial: Specifying causal models as restricted latent class models with LEM

Wednesday

Class: Loglinear Structural Equation Modelling

[Reading: Hagenaars (1993), 20-39]

-Causal systems with manifest and latent variables

-The latent class model as a restricted loglinear model

Tutorial: Specifying causal models with latent categorical variables using LEM

Thursday

Class: Loglinear Structural Equation Modelling: Advanced Topics

[Reading: Hagenaars (1993), 39-64, Hagenaars (2002)]

-Complex causal systems with manifest and latent variables

Tutorial: Complex causal models with latent categorical variables using LEM

Friday

Class: Advanced Topics:  Models for Analyzing Categorically-Scored Panel Data and

Hierarchical (Multi-level) Latent Class Models

[Reading: McCutcheon, (1997), Vermunt (2005)]

Tutorial: None