Testing measurement invariance of composites using partial least squares

TLDR

International marketing research often compares groups, but without establishing measurement invariance, group comparisons using SEM can be misleading, and no method exists for composite models. This paper introduces MICOM, a novel three‑step procedure for testing measurement invariance of composite models in variance‑based SEM such as PLS path modeling. The authors evaluate MICOM through a simulation study that assesses its suitability for PLS applications. The simulation shows that MICOM correctly detects no, partial, and full invariance, though its statistical power warrants further investigation to mitigate type‑II errors.

Abstract

Purpose – Research on international marketing usually involves comparing different groups of respondents. When using structural equation modeling (SEM), group comparisons can be misleading unless researchers establish the invariance of their measures. While methods have been proposed to analyze measurement invariance in common factor models, research lacks an approach in respect of composite models. The purpose of this paper is to present a novel three-step procedure to analyze the measurement invariance of composite models (MICOM) when using variance-based SEM, such as partial least squares (PLS) path modeling. Design/methodology/approach – A simulation study allows us to assess the suitability of the MICOM procedure to analyze the measurement invariance in PLS applications. Findings – The MICOM procedure appropriately identifies no, partial, and full measurement invariance. Research limitations/implications – The statistical power of the proposed tests requires further research, and researchers using the MICOM procedure should take potential type-II errors into account. Originality/value – The research presents a novel procedure to assess the measurement invariance in the context of composite models. Researchers in international marketing and other disciplines need to conduct this kind of assessment before undertaking multigroup analyses. They can use MICOM procedure as a standard means to assess the measurement invariance.