Ordinal Consistent Partial Least Squares

  • Florian SchuberthEmail author
  • Gabriele Cantaluppi


In this chapter, we present a new variance-based estimator called ordinal consistent partial least squares (OrdPLSc). It is a promising combination of consistent partial least squares (PLSc) and ordinal partial least squares (OrdPLS), respectively, which is capable to deal in structural equation models with common factors, composites, and ordinal categorical indicators. Besides providing the theoretical background of OrdPLSc, we present three approaches to obtain constructs scores from OrdPLS and OrdPLSc, which can be used, e.g., in importance-performance matrix analysis. Finally, we show its behavior on an empirical example and provide a practical guidance for the assessment of SEMs with ordinal categorical indicators in the context of OrdPLSc.



Florian Schuberth thanks Prof. Jörg Henseler and Prof. Theo K. Dijkstra for their guidance and inspiring thoughts in the field of PLS. A special thanks goes to his supervisor Prof. Martin Kukuk for having introduced him to the polychoric correlation.

Gabriele Cantaluppi is grateful to Prof. Angelo Zanella for having introduced him to Structural Equation Models and Prof. Giuseppe Boari for his collaboration in fine tuning OrdPLS.


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Authors and Affiliations

  1. 1.Faculty of Business Management and EconomicsUniversity of WürzburgWürzburgGermany
  2. 2.Faculty of Economics, Department of Statistical ScienceUniversità Cattolica del Sacro CuoreMilanItaly

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