Overcoming convergence problems in PLS path modelling

Mohamed Hanafi, Zouhair El Hadri (), Abderrahim Sahli and Pasquale Dolce
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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

Computational Statistics, 2022, vol. 37, issue 5, No 14, 2437-2470

Abstract: 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).

Keywords: Partial least squares path modelling; Lohmöller’s procedure; Hanafi-Wold’s procedure; Laplacian matrix; Signless Laplacian matrix (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00180-022-01204-9

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