semtools: Methods for Testing Measurement Invariance in Structural Equation Models

Tests of measurement invariance without subgroups: A generalization of classical methods

• Manuscript published in Psychometrika 78(1), 58-82.
• Psychoco 2012 presentation
• Replication materials:
  • lavaan extensions containing estfun() method for lavaan objects.
  • Artificial example functions for lavaan or OpenMx model estimation, along with score extraction.
  • Simulation functions for data generation, power evaluation, and power summaries.
  • Replication script containing code to run and summarize the examples and simulations, using the above files.

Testing for measurement invariance with respect to an ordinal variable

• Manuscript accepted for publication in Psychometrika.
• Working paper
• Replication materials:
  • lavaan extensions containing estfun() method for lavaan objects (note: this code has been incorporated into lavaan and is no longer necessary).
  • strucchange extensions containing efpFunctionals for ordinal measurement invariance tests.
  • Artificial example functions for lavaan model estimation, along with score extraction.
  • Simulation functions for data generation, power evaluation, and power summaries.
  • Replication script containing code to run and summarize the examples and simulations, using the above files.

Acknowledgments

This material is based upon work supported by the U.S. National Science Foundation under Grant No. SES-1061334. Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation (NSF).

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