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Conference Proceedings (2010), 42èmes Journées de Statistique de la Société Française de Statistique, SFdS, Société Française de Statistique

An Integrated PLS Regression-based Approach for Multidimensional Blocks in PLS Path Modeling

ESPOSITO VINZI Vincenzo , RUSSOLILO G., TRINCHERA L.

PLS Path Modeling (PLS-PM) is classically regarded as a component-based approach to Structural Equation Models and has been more recently revisited as a general framework for multiple table analysis. Here we propose two new modes for estimating outer weights in PLS-PM: the PLScore Mode and the PLScow Mode. Both modes involve integrating a PLS Regression as an estimation technique within the outer estimation phase of PLS-PM. However, in PLScore Mode a PLS Regression is run under the classical PLS-PM constraints of unitary variance for the latent variable scores, while in PLScow Mode the outer weights are constrained to have a unitary norm thus importing the classical normalization constraints of PLS Regression. Moreover, we show how the newly proposed modes are linked to the standard Mode A and Mode B outer estimates in PLS-PM as well as to the New Mode A recently proposed in a criterion-based approach by Tenenhaus & Tenenhaus (2009).

ESPOSITO VINZI, V., RUSSOLILO, G. and TRINCHERA, L. (2010). An Integrated PLS Regression-based Approach for Multidimensional Blocks in PLS Path Modeling. In: 42èmes Journées de Statistique de la Société Française de Statistique. SFdS, Société Française de Statistique.

Keywords : #Analyse-des-données, #Problèmes-de-régressions-inverses