Generalized properties for Hanafi-Wold’s procedure in partial least squares path modeling. (English) Zbl 1505.62175
Summary: Partial least squares path modeling is a statistical method that allows to analyze complex dependence relationships among several blocks of observed variables, each one represented by a latent variable. The computation of latent variable scores is an essential step of the method, achieved through an iterative procedure named here Hanafi-Wold’s procedure. The present paper generalizes properties already known in the literature for this procedure, from which additional convergence results will be obtained.
MSC:
| 62-08 | Computational methods for problems pertaining to statistics |
References:
| [1] | Addinsoft XLSTAT (2019). https://www.xlstat.com/en |
| [2] | Chin, WW, PLS graph 3.0 (2003), Houston: Soft Modeling Inc, Houston |
| [3] | Dijkstra, TK; Latan, H.; Noonan, R., A perfect match between a model and a mode, Partial least squares path modeling: basic concepts, methodological issues and applications, 55-80 (2017), Cham: Springer, Cham · Zbl 1380.62019 · doi:10.1007/978-3-319-64069-3_4 |
| [4] | Dolce, P.; Esposito Vinzi, V.; Lauro, C., Non-symmetrical composite-based path modeling, Adv Data Anal Classif, 12, 3, 759-784 (2018) · Zbl 1416.62374 · doi:10.1007/s11634-017-0302-1 |
| [5] | Esposito Vinzi, V.; Chin, WW; Henseler, J.; Wang, H., Handbook of partial least squares: concepts, methods and applications (2010), Berlin: Springer, Berlin · Zbl 1186.62001 · doi:10.1007/978-3-540-32827-8 |
| [6] | Hair, J.; Hult, G.; Ringle, C.; Sarstedt, M., A primer on partial least squares structural equation modeling (PLS-SEM) (2017), Thousand Oaks: Sage, Thousand Oaks · Zbl 1416.62010 |
| [7] | Hanafi, M., PLS path modeling: computation of latent variables with the estimation mode B, Comput Stat, 22, 275-292 (2007) · Zbl 1196.62103 · doi:10.1007/s00180-007-0042-3 |
| [8] | Hubona G (2015) PLS-GUI [Software program]. http://www.pls-gui.com |
| [9] | Jöreskog, K., A general method for analysis of covariance structure, Biometrika, 57, 239-251 (1970) · Zbl 0195.48801 · doi:10.1093/biomet/57.2.239 |
| [10] | Lohmöller, J., Latent variable path modeling with partial least squares (1989), Heildelberg: Physica-Verlag, Heildelberg · Zbl 0788.62050 · doi:10.1007/978-3-642-52512-4 |
| [11] | Ringle, CM; Wende, S.; Becker, JM, SmartPLS 3 [software] (2015), Bönningstedt: SmartPLS, Bönningstedt |
| [12] | Wold, H.; Jöreskog, K.; Wold, H., Soft modeling: the basic design and some extensions, Systems under indirect observation, 1-54 (1982), Amsterdam: North-Holland, Amsterdam · Zbl 0517.62065 |
| [13] | Wold, H.; Kotz, S.; Johnson, N., Partial least squares, Encyclopedia of statistical sciences, 581-591 (1985), New York: Wiley, New York · Zbl 0657.62001 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
