Skip to main content

Evaluating Sensitivity of Parameters of Interest to Measurement Invariance in Latent Variable Models

  • Daniel L. Oberski (a1)

Latent variable models can only be compared across groups when these groups exhibit measurement equivalence or “invariance,” since otherwise substantive differences may be confounded with measurement differences. This article suggests examining directly whether measurement differences present could confound substantive analyses, by examining the expected parameter change (EPC)-interest. The EPC-interest approximates the change in parameters of interest that can be expected when freeing cross-group invariance restrictions. Monte Carlo simulations suggest that the EPC-interest approximates these changes well. Three empirical applications show that the EPC-interest can help avoid two undesirable situations: first, it can prevent unnecessarily concluding that groups are incomparable, and second, it alerts the user when comparisons of interest may still be invalidated even when the invariance model appears to fit the data. R code and data for the examples discussed in this article are provided in the electronic appendix (

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Political Analysis
  • ISSN: 1047-1987
  • EISSN: 1476-4989
  • URL: /core/journals/political-analysis
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
Type Description Title
Supplementary materials

Oberski supplementary material

 PDF (117 KB)
117 KB


Altmetric attention score

Full text views

Total number of HTML views: 1
Total number of PDF views: 63 *
Loading metrics...

Abstract views

Total abstract views: 280 *
Loading metrics...

* Views captured on Cambridge Core between 4th January 2017 - 15th August 2018. This data will be updated every 24 hours.