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Structural parameters under partial least squares and covariance-based structural equation modeling : a comment on Yuan and Deng (2021)

Florian Schuberth, Yves Rosseel (UGent) , Mikko Ronkko, Laura Trinchera, Rex B. Kline and Jorg Henseler
(2023) STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL. 30(3). p.339-345
Author
Organization
Abstract
In their article, Yuan and Deng argue that a structural parameter under partial least squares structural equation modeling (PLS-SEM) is zero if and only if the same structural parameter is zero under covariance-based structural equation modeling (CB-SEM). Yuan and Deng then conclude that statistical tests on individual structural parameters assessing the null hypothesis of no effect can achieve the same purpose in CB-SEM and PLS-SEM. Our response to their article highlights that the relationship they find between PLS-SEM and CB-SEM structural parameters is not universally valid, and that consequently, tests on individual parameters in CB-SEM and PLS-SEM generally do not fulfill the same purpose.
Keywords
Bias correction, factor score regression, measurement error, partial, least squares structural equation modeling (PLS-SEM), LATENT-VARIABLES, REGRESSION, CONSISTENT, ERROR, SEM

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MLA
Schuberth, Florian, et al. “Structural Parameters under Partial Least Squares and Covariance-Based Structural Equation Modeling : A Comment on Yuan and Deng (2021).” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, vol. 30, no. 3, 2023, pp. 339–45, doi:10.1080/10705511.2022.2134140.
APA
Schuberth, F., Rosseel, Y., Ronkko, M., Trinchera, L., Kline, R. B., & Henseler, J. (2023). Structural parameters under partial least squares and covariance-based structural equation modeling : a comment on Yuan and Deng (2021). STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, 30(3), 339–345. https://doi.org/10.1080/10705511.2022.2134140
Chicago author-date
Schuberth, Florian, Yves Rosseel, Mikko Ronkko, Laura Trinchera, Rex B. Kline, and Jorg Henseler. 2023. “Structural Parameters under Partial Least Squares and Covariance-Based Structural Equation Modeling : A Comment on Yuan and Deng (2021).” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL 30 (3): 339–45. https://doi.org/10.1080/10705511.2022.2134140.
Chicago author-date (all authors)
Schuberth, Florian, Yves Rosseel, Mikko Ronkko, Laura Trinchera, Rex B. Kline, and Jorg Henseler. 2023. “Structural Parameters under Partial Least Squares and Covariance-Based Structural Equation Modeling : A Comment on Yuan and Deng (2021).” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL 30 (3): 339–345. doi:10.1080/10705511.2022.2134140.
Vancouver
1.
Schuberth F, Rosseel Y, Ronkko M, Trinchera L, Kline RB, Henseler J. Structural parameters under partial least squares and covariance-based structural equation modeling : a comment on Yuan and Deng (2021). STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL. 2023;30(3):339–45.
IEEE
[1]
F. Schuberth, Y. Rosseel, M. Ronkko, L. Trinchera, R. B. Kline, and J. Henseler, “Structural parameters under partial least squares and covariance-based structural equation modeling : a comment on Yuan and Deng (2021),” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, vol. 30, no. 3, pp. 339–345, 2023.
@article{01GQWH5RWVYMJ77AG803H9PZG2,
  abstract     = {{In their article, Yuan and Deng argue that a structural parameter under partial least squares structural equation modeling (PLS-SEM) is zero if and only if the same structural parameter is zero under covariance-based structural equation modeling (CB-SEM). Yuan and Deng then conclude that statistical tests on individual structural parameters assessing the null hypothesis of no effect can achieve the same purpose in CB-SEM and PLS-SEM. Our response to their article highlights that the relationship they find between PLS-SEM and CB-SEM structural parameters is not universally valid, and that consequently, tests on individual parameters in CB-SEM and PLS-SEM generally do not fulfill the same purpose.}},
  author       = {{Schuberth, Florian and Rosseel, Yves and  Ronkko, Mikko and  Trinchera, Laura and  Kline, Rex B. and  Henseler, Jorg}},
  issn         = {{1070-5511}},
  journal      = {{STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL}},
  keywords     = {{Bias correction,factor score regression,measurement error,partial,least squares structural equation modeling (PLS-SEM),LATENT-VARIABLES,REGRESSION,CONSISTENT,ERROR,SEM}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{339--345}},
  title        = {{Structural parameters under partial least squares and covariance-based structural equation modeling : a comment on Yuan and Deng (2021)}},
  url          = {{http://doi.org/10.1080/10705511.2022.2134140}},
  volume       = {{30}},
  year         = {{2023}},
}
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