New Estimation Procedures for PLS Path Modelling

Xavier Bry (1, 2)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier
2 IMAG - Institut Montpelliérain Alexander Grothendieck

Given R groups of numerical variables X1, ... XR, we assume that each group is the result of one underlying latent variable, and that all latent variables are bound together through a linear equation system. Moreover, we assume that some explanatory latent variables may interact pairwise in one or more equations. We basically consider PLS Path Modelling's algorithm to estimate both latent variables and the model's coefficients. New "external" estimation schemes are proposed that draw latent variables towards strong group structures in a more flexible way. New "internal" estimation schemes are proposed to enable PLSPM to make good use of variable group complementarity and to deal with interactions. Application examples are given.

Mots clés: Interactions; Latent Variables; PLS Path Modelling; PLS Regression; Thematic Components Analysis

Domaines: Apprentissage [cs.LG]; Statistiques [math.ST]

Xavier Bry. New Estimation Procedures for PLS Path Modelling. 2004. ⟨hal-00243151⟩