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On the Relationships among Latent Variables and Residuals in PLS Path Modeling: the Formative-Reflective Scheme

  • Giorgio Vittadini
  • Simona Caterina Minotti
  • Marco Fattore
  • Pietro Giorgio Lovaglio

A new approach for the estimation and the validation of a Structural Equation Model with a formative-reflective scheme is presented. The basis of the paper is a proposal for overcoming a potential deficiency of PLS Path Modeling. In the PLS approach the reflective scheme assumed for the endogenous latent variables is inverted; moreover, the model errors are not explicitly taken into account for the estimation of the endogenous latent variables. The proposed approach utilizes all the relevant information in the formative manifest variables providing solutions which respect the causal structure of the model. The estimation procedure is based on the optimization of the redundancy criterion. The new approach, entitled Redundancy Analysis approach to Path Modeling is compared with both traditional PLS Path Modeling and LISREL methodology, on the basis of real and simulated data.

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File URL: http://www.statistica.unimib.it/utenti/WorkingPapers/WorkingPapers/20061101.pdf
File Function: Revised version, October 2006
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Paper provided by Università degli Studi di Milano-Bicocca, Dipartimento di Statistica in its series Working Papers with number 20061101.

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Length: 28 pages
Date of creation: Nov 2005
Date of revision: Oct 2006
Publication status: Forthcoming in Computational Statistics and Data Analysis
Handle: RePEc:mis:wpaper:20061101
Contact details of provider: Postal: Via Bicocca degli Arcimboldi 8, 20126 Milano
Web page: http://www.statistica.unimib.it

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  1. Arnold Wollenberg, 1977. "Redundancy analysis an alternative for canonical correlation analysis," Psychometrika, Springer, vol. 42(2), pages 207-219, June.
  2. Tenenhaus, Michel & Vinzi, Vincenzo Esposito & Chatelin, Yves-Marie & Lauro, Carlo, 2005. "PLS path modeling," Computational Statistics & Data Analysis, Elsevier, vol. 48(1), pages 159-205, January.
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