Structural Equation Modelling with R-based Lavaan

This course by Professor Gordon Cheung covers structural equation modelling concepts and hands-on data analysis. It includes all of the material that we have previously offered, but now is taught using R instead of Mplus!


AUCKLAND: Monday 5 – Friday 9 July 2021

Enrolments are not quite online yet, please watch this space.

Fee structure

Student: $NZ1,125

Other: $NZ2,250


Professor Gordon Cheung


Participants are not required to have prior knowledge of structural equation modelling. Please install the latest version of R from in advance, and the lavaan package, see for instructions.

Lavaan syntax will be covered during the course, but other R syntax will not. Data manipulation will be handled using Excel, so you do not need to know how to do that in R. Hands on data analysis and R syntax will be provided for all exercises.

Course outline

Introduction to Structural Equation Modelling

  1. Basic concepts behind structural equation modelling (SEM) and the assumptions involved.
  2. Introduction to Confirmatory Factor Analysis with a measurement model for testing convergent and discriminant validities.
  3. Comparison of regression and path analysis.
  4. Application of the full structural model with latent variables.

Measurement Invariance

  1. Basic concepts behind measurement invariance and the assumptions involved.
  2. Comparison of various methods in testing measurement invariance.
  3. Identification of non-invariant items when full invariance is not achieved.
  4. Comparison of latent means.

Mediating Effects

  1. Review of the advantages of testing mediation effects with latent variables over observed variables.
  2. Introduction of various mediation hypotheses that can be examined in organisational and psychological studies, including:
    1. Significance of specific mediation effect
    2. Comparison of the strength of two mediation effects
    3. Comparison of the strength between mediation effect and direct effect
    4. Comparison of the strength of mediation effects across groups.

Multilevel Models

  1. Basic concepts behind multilevel organisational and psychological research.
  2. Comparison of nested data and multilevel theory.
  3. Understanding of hierarchical linear models.
  4. Testing various forms of multilevel data and theory, including cross-level mediation and cross-level moderated mediation.


Gana K & Broc G (2019). Structural Equation Modelling with Lavaan. John Wiley & Sons, Inc.