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Overcoming convergence problems in PLS path modelling

Author

Listed:
  • Mohamed Hanafi

    (Sensometrics and Chemometrics)

  • Zouhair El Hadri

    (Mohammed V University in Rabat)

  • Abderrahim Sahli

    (Mohammed V University in Rabat)

  • Pasquale Dolce

    (University of Naples Federico II)

Abstract

The present paper deals with convergence issues of Lohmöller’s procedure for the computation of the components in the PLS-PM algorithm. More datasets and proofs are given to highlight the convergence failure of this procedure. Consequently, a new procedure based on the Signless Lapalacien matrix of the indirect graph between constructs is introduced. In several cases that will be specified in this paper, both monotony and error convergence for this new procedure will be established. Several comparisons will be presented between the new procedure and the two conventionally used procedures (Lohmöller’s and Hanafi-Wold’s procedures).

Suggested Citation

  • Mohamed Hanafi & Zouhair El Hadri & Abderrahim Sahli & Pasquale Dolce, 2022. "Overcoming convergence problems in PLS path modelling," Computational Statistics, Springer, vol. 37(5), pages 2437-2470, November.
    • Handle: RePEc:spr:compst:v:37:y:2022:i:5:d:10.1007_s00180-022-01204-9
    DOI: 10.1007/s00180-022-01204-9
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    References listed on IDEAS

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    1. Michel Tenenhaus & Arthur Tenenhaus & Patrick J. F. Groenen, 2017. "Regularized Generalized Canonical Correlation Analysis: A Framework for Sequential Multiblock Component Methods," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 737-777, September.
    2. Mohamed Hanafi, 2007. "PLS Path modelling: computation of latent variables with the estimation mode B," Computational Statistics, Springer, vol. 22(2), pages 275-292, July.
    3. Jörg Henseler, 2010. "On the convergence of the partial least squares path modeling algorithm," Computational Statistics, Springer, vol. 25(1), pages 107-120, March.
    4. Monecke, Armin & Leisch, Friedrich, 2012. "semPLS: Structural Equation Modeling Using Partial Least Squares," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i03).
    5. Mohamed Hanafi & Pasquale Dolce & Zouhair El Hadri, 2021. "Generalized properties for Hanafi–Wold’s procedure in partial least squares path modeling," Computational Statistics, Springer, vol. 36(1), pages 603-614, March.
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