A least squares approach to latent variables extraction in formative-reflective models
In this paper, we propose a new least-squares based procedure to extract exogenous and endogenous latent variables in formative-reflective structural equation models. The procedure is a valuable alternative to PLS-PM and Lisrel; it is fully consistent with the causal structure of formative-reflective schemes and extracts both the structural parameters and the factor scores, without identification or indeterminacy problems. The algorithm can be applied to virtually any kind of formative-reflective scheme, with unidimensional and even multidimensional formative blocks. To show the effectiveness of the proposal, some simulated examples are discussed. A real data application, pertaining to customer equity management, is also provided, comparing the outputs of our approach with those of PLS-PM, which may produce inconsistent results when applied to formative-reflective schemes.
|Date of creation:||04 Mar 2012|
|Contact details of provider:|| Postal: Via Bicocca degli Arcimboldi 8, 20126 Milano|
Web page: http://www.statistica.unimib.it
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Wilcox, James B. & Howell, Roy D. & Breivik, Einar, 2008. "Questions about formative measurement," Journal of Business Research, Elsevier, vol. 61(12), pages 1219-1228, December.
- A. Diamantopoulos & P. Riefler & K.P. Roth, 2008.
"Advancing formative measurement models,"
- Giorgio Vittadini & Simona Caterina Minotti & Marco Fattore & Pietro Giorgio Lovaglio, 2005.
"On the Relationships among Latent Variables and Residuals in PLS Path Modeling: the Formative-Reflective Scheme,"
20061101, Università degli Studi di Milano-Bicocca, Dipartimento di Statistica, revised Oct 2006.
- Vittadini, Giorgio & Minotti, Simona C. & Fattore, Marco & Lovaglio, Pietro G., 2007. "On the relationships among latent variables and residuals in PLS path modeling: The formative-reflective scheme," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5828-5846, August.
- Bruhn, Manfred & Georgi, Dominik & Hadwich, Karsten, 2008. "Customer equity management as formative second-order construct," Journal of Business Research, Elsevier, vol. 61(12), pages 1292-1301, December.
When requesting a correction, please mention this item's handle: RePEc:mis:wpaper:20120302. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Matteo Pelagatti)
If references are entirely missing, you can add them using this form.