**Lecture notes**: 1up PDF; 4up PDF**Lab exercise**: Exercise 1

Setting the stage: EFA, CFA, SEM, Path analysis

- Goal: Understand relations among a large number of observed variables
- Goal: Extend regression methods to (a) multiple outcomes, (b) latent variables, (c) accounting for measurement error or unreliability
- Thinking: Equations -> Path diagram -> estimate, test, visualize

**Lecture notes**: 1up PDF; 4up PDF**Examples**:- Essay scoring data: congeneric, tau-equiv and parallel models R code, for sem package

**Lab exercise**: Exercise 2- Data set: CSV file; SPSS SAV file
- R code: lavaan models
- AMOS file

- Effects of measurement error
- Testing equivalence of measures with CFA
- Multi-factor, higher-order models
- Multi-group models: Factorial invariance

- CFA in lavaan. A nice tutorial on fitting CFA models using
`lavaan`

. It uses a larger version of the Holzinger-Swineford (1939) data used in the exercise and discusses goodness-of-fit measures, model comparison, and R tools to get nice output for write-ups.

Copyright © 2019 Michael Friendly. All rights reserved.

*friendly AT yorku DOT ca*