A new criterion for assessing discriminant validity in variance-based structural equation modeling

Новый критерий оценки дискриминантной валидности в моделировании структурными уравнениями на основе дисперсии
Jörg Henseler, Christian M. Ringle, Marko Sarstedt
2014-08-21

Fornell-Larcker criterionMonte Carlo simulationdiscriminant validityheterotrait-monotrait ratiovariance-based structural equation modeling
Discriminant validity assessment has become a generally accepted prerequisite for analyzing relationships between latent variables. For variance-based structural equation modeling, such as partial least squares, the Fornell-Larcker criterion and the examination of cross-loadings are the dominant approaches for evaluating discriminant validity. By means of a simulation study, we show that these approaches do not reliably detect the lack of discriminant validity in common research situations. We therefore propose an alternative approach, based on the multitrait-multimethod matrix, to assess discriminant validity: the heterotrait-monotrait ratio of correlations. We demonstrate its superior performance by means of a Monte Carlo simulation study, in which we compare the new approach to the Fornell-Larcker criterion and the assessment of (partial) cross-loadings. Finally, we provide guidelines on how to handle discriminant validity issues in variance-based structural equation modeling.
1
Monte Carlo simulations demonstrate that the heterotrait-monotrait ratio outperforms the Fornell-Larcker criterion and (partial) cross-loading assessments.
2
Simulation results show that the Fornell-Larcker criterion and cross-loading assessments do not reliably detect insufficient discriminant validity in common variance-based SEM situations.
3
The paper proposes the heterotrait-monotrait ratio of correlations as an alternative discriminant-validity assessment based on the multitrait-multimethod matrix.
4
The paper provides practical guidelines for addressing discriminant-validity problems in variance-based structural equation modeling.

Discriminant validity assessment methods in variance-based structural equation modeling (e.g., PLS)

The reliability and comparative performance of the Fornell–Larcker criterion, cross-loading assessment, and the heterotrait–monotrait ratio of correlations for detecting lack of discriminant validity

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Publication Date
2014-08-21
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Authors
Jörg Henseler
Christian M. Ringle
Marko Sarstedt
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