News:

• (3 May 2022): slides for my `Seminar in psychometrics’ presentation in Prague: rosseel_prague2022.pdf and R code: rosseel_prague2022.R

• (1 April 2022): Introduction to Structural Equation Modeling using lavaan (online only); In this e-learning course, we will go over the basics of structural equation modeling using lavaan. The course will run for two weeks and delivers five full days of content. 04 July – 15 July 2022. (course code: S65)

• (31 March 2022): lavaan version 0.6-11 has been released on CRAN. This is only a maintenance release to prepare for R 4.2. See Version History for more information

• (10 March 2022): slides for my presentation at the Meeting of the SEM Working Group (Tilburg): rosseel_tilburg2022.pdf

• (8 March 2022): the paper ‘Using bounded estimation to avoid nonconvergence in small sample structural equation modeling’ is now available online here. The preprint can be found on the OSF repository

• (11 Oct 2021): the open-access paper ‘Computational Options for Standard Errors and Test Statistics with Incomplete Normal and Nonnormal Data in SEM’ (by Savalei and Rosseel) is now available online. The preprint (in LaTeX) can be found on PsyArXiv.

• (16 June 2021): a first draft of the paper: ‘The Structural-After-Measurement (SAM) approach to SEM’ is now available on the OSF repository.

• (7 June 2021): new (technical) paper describing the multilevel + fiml approach as used in lavaan 0.6-9 is published in Psych.

What is lavaan?

The lavaan package is developed to provide useRs, researchers and teachers a free open-source, but commercial-quality package for latent variable modeling. You can use lavaan to estimate a large variety of multivariate statistical models, including path analysis, confirmatory factor analysis, structural equation modeling and growth curve models.

The official reference to the lavaan package is the following paper:

Yves Rosseel (2012). lavaan: An R Package for Structural Equation Modeling. Journal of Statistical Software, 48(2), 1-36. URL http://www.jstatsoft.org/v48/i02/

First impression

To get a first impression of how lavaan works in practice, consider the following example of a SEM model. The figure below contains a graphical representation of the model that we want to fit.

myModel <- '
   # latent variables
     ind60 =~ x1 + x2 + x3
     dem60 =~ y1 + y2 + y3 + y4
     dem65 =~ y5 + y6 + y7 + y8
   # regressions
     dem60 ~ ind60
     dem65 ~ ind60 + dem60
   # residual covariances
     y1 ~~ y5
     y2 ~~ y4 + y6
     y3 ~~ y7
     y4 ~~ y8
     y6 ~~ y8
'
fit <- sem(model = myModel,
           data  = PoliticalDemocracy)
summary(fit)