Skip to main content
Erschienen in: Advances in Data Analysis and Classification 3/2018

10.11.2017 | Regular Article

Non-symmetrical composite-based path modeling

verfasst von: Pasquale Dolce, Vincenzo Esposito Vinzi, Natale Carlo Lauro

Erschienen in: Advances in Data Analysis and Classification | Ausgabe 3/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Partial least squares path modeling presents some inconsistencies in terms of coherence with the predictive directions specified in the inner model (i.e. the path directions), because the directions of the links in the inner model are not taken into account in the iterative algorithm. In fact, the procedure amplifies interdependence among blocks and fails to distinguish between dependent and explanatory blocks. The method proposed in this paper takes into account and respects the specified path directions, with the aim of improving the predictive ability of the model and to maintain the hypothesized theoretical inner model. To highlight its properties, the proposed method is compared to the classical PLS path modeling in terms of explained variability, predictive relevance and interpretation using artificial data through a real data application. A further development of the method allows to treat multi-dimensional blocks in composite-based path modeling.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
In particular, when new Mode A is applied, outer weights are normalized to unit length.
 
2
Weights are then standardized such that the resulting composite has unit variance.
 
Literatur
Zurück zum Zitat Apel H, Wold H (1982) Soft modeling with latent variables in two or more dimensions: PLS estimation and testing for predictive relevance. In: Jöreskog K, Wold H (eds) Systems under indirect observations. Part II. North-Holland, Amsterdam, pp 209–247 Apel H, Wold H (1982) Soft modeling with latent variables in two or more dimensions: PLS estimation and testing for predictive relevance. In: Jöreskog K, Wold H (eds) Systems under indirect observations. Part II. North-Holland, Amsterdam, pp 209–247
Zurück zum Zitat Becker JM, Arun R, Edward ER (2013) Predictive validity and formative measurement in structural equation modeling: embracing practical relevance. In: Proceedings of the international conference on information systems (ICIS) Becker JM, Arun R, Edward ER (2013) Predictive validity and formative measurement in structural equation modeling: embracing practical relevance. In: Proceedings of the international conference on information systems (ICIS)
Zurück zum Zitat Chin WW (1998) The partial least squares approach for structural equation modeling. In: Marcoulides G (ed) Modern methods for business research. Lawrence Erlbaum Associates, London, pp 295–336 Chin WW (1998) The partial least squares approach for structural equation modeling. In: Marcoulides G (ed) Modern methods for business research. Lawrence Erlbaum Associates, London, pp 295–336
Zurück zum Zitat Chin WW (2010) How to write up and report PLS analyses. In: Esposito Vinzi V, Chin WW, Henseler J, Wang H (eds) Handbook of partial least squares. Springer, Berlin, pp 655–690CrossRef Chin WW (2010) How to write up and report PLS analyses. In: Esposito Vinzi V, Chin WW, Henseler J, Wang H (eds) Handbook of partial least squares. Springer, Berlin, pp 655–690CrossRef
Zurück zum Zitat Dolce P, Esposito Vinzi V, Lauro C (2016) Path directions incoherence in pls path modeling: a prediction-oriented solution. In: Abdi H, Esposito Vinzi V, Russolillo G, Saporta G, Trinchera L (eds) The multiple facets of partial least squares methods—springer proceedings in mathematics and statistics. Springer, New YorkMATH Dolce P, Esposito Vinzi V, Lauro C (2016) Path directions incoherence in pls path modeling: a prediction-oriented solution. In: Abdi H, Esposito Vinzi V, Russolillo G, Saporta G, Trinchera L (eds) The multiple facets of partial least squares methods—springer proceedings in mathematics and statistics. Springer, New YorkMATH
Zurück zum Zitat Esposito Vinzi V, Russolillo G (2013) Partial least squares algorithms and methods. WIREs Comput Stat 5:1–19CrossRef Esposito Vinzi V, Russolillo G (2013) Partial least squares algorithms and methods. WIREs Comput Stat 5:1–19CrossRef
Zurück zum Zitat Evermann J, Tate M (2016) Assessing the predictive performance of structural equation model estimators. J Bus Res 69:4565–4582CrossRef Evermann J, Tate M (2016) Assessing the predictive performance of structural equation model estimators. J Bus Res 69:4565–4582CrossRef
Zurück zum Zitat Fornell C, Barclay DW, Rhee BD (1988) A model and simple iterative algorithm for redundancy analysis. Multivar Behav Res 23(3):349–360CrossRef Fornell C, Barclay DW, Rhee BD (1988) A model and simple iterative algorithm for redundancy analysis. Multivar Behav Res 23(3):349–360CrossRef
Zurück zum Zitat Geisser S (1975) The predictive sample reuse method with applications. J Am Stat Assoc 70:320–328CrossRef Geisser S (1975) The predictive sample reuse method with applications. J Am Stat Assoc 70:320–328CrossRef
Zurück zum Zitat Hair JF, Ringle CM, Sarstedt M (2011) PLS-SEM: indeed a silver bullet. J Mark Theory Pract 19(2):139–152CrossRef Hair JF, Ringle CM, Sarstedt M (2011) PLS-SEM: indeed a silver bullet. J Mark Theory Pract 19(2):139–152CrossRef
Zurück zum Zitat Hanafi M (2007) PLS path modeling: computation of latent variables with the estimation mode B. Comput Stat 22:275–292MathSciNetCrossRef Hanafi M (2007) PLS path modeling: computation of latent variables with the estimation mode B. Comput Stat 22:275–292MathSciNetCrossRef
Zurück zum Zitat Hastie T, Tibshirani R, Friedman J (2009) The elements of statistical learning: data mining, inference, and prediction. Springer, BerlinCrossRef Hastie T, Tibshirani R, Friedman J (2009) The elements of statistical learning: data mining, inference, and prediction. Springer, BerlinCrossRef
Zurück zum Zitat Henseler J, Ringle C, Sinkovics R (2009) The use of partial least squares path modeling in international marketing. Adv Int Mark 20:277–319 Henseler J, Ringle C, Sinkovics R (2009) The use of partial least squares path modeling in international marketing. Adv Int Mark 20:277–319
Zurück zum Zitat Krämer N (2007) Analysis of high-dimensional data with partial least squares and boosting. Ph.D. thesis, Technische Universität Berlin, Berlin, Germany Krämer N (2007) Analysis of high-dimensional data with partial least squares and boosting. Ph.D. thesis, Technische Universität Berlin, Berlin, Germany
Zurück zum Zitat Lauro N, D’Ambra L (1992) Non symmetrical exploratory data analysis. Stat Appl 4(4):511–529 Lauro N, D’Ambra L (1992) Non symmetrical exploratory data analysis. Stat Appl 4(4):511–529
Zurück zum Zitat Lohmöller J (1989) Latent variable path modeling with partial least squares. Physica, HeildelbergCrossRef Lohmöller J (1989) Latent variable path modeling with partial least squares. Physica, HeildelbergCrossRef
Zurück zum Zitat Martens H, Naes T (1989) Multivariate calibration. Wiley, ChichesterMATH Martens H, Naes T (1989) Multivariate calibration. Wiley, ChichesterMATH
Zurück zum Zitat Martens M, Tenenhaus M, Esposito V, Martens V (2007) The use of partial least squares methods in new food product development. In: MacFie H (ed) Consumer-led food products development. Woodhead Publishing Lmt, Cambridge, pp 492–523CrossRef Martens M, Tenenhaus M, Esposito V, Martens V (2007) The use of partial least squares methods in new food product development. In: MacFie H (ed) Consumer-led food products development. Woodhead Publishing Lmt, Cambridge, pp 492–523CrossRef
Zurück zum Zitat Pagés J, Asselin C, Morlat R, Robichet J (1987) L’analyse factorielle multiple dans le traitement des données sensorielles. Application à des vins rouges de la vallée de la Loire. Sci des Aliments 7:549–571 Pagés J, Asselin C, Morlat R, Robichet J (1987) L’analyse factorielle multiple dans le traitement des données sensorielles. Application à des vins rouges de la vallée de la Loire. Sci des Aliments 7:549–571
Zurück zum Zitat R Core Team (2014) R: a language and environment for statistical computing. R foundation for statistical computing, Vienna R Core Team (2014) R: a language and environment for statistical computing. R foundation for statistical computing, Vienna
Zurück zum Zitat Rigdon EE (2012) Rethinking partial least squares path modeling: in praise of simple methods. Long Range Plan 45:341–358CrossRef Rigdon EE (2012) Rethinking partial least squares path modeling: in praise of simple methods. Long Range Plan 45:341–358CrossRef
Zurück zum Zitat Ringle C, Sarstedt M, Straub D (2012) A critical look at the use of PLS-sem in mis quarterly. MIS Q 36:3–14 Ringle C, Sarstedt M, Straub D (2012) A critical look at the use of PLS-sem in mis quarterly. MIS Q 36:3–14
Zurück zum Zitat Sarstedt M, Ringle C, Henseler J, Hair J (2014) On the emancipation of PLS-SEM: a commentary on rigdon (2012). Long Range Plan 47:154–160CrossRef Sarstedt M, Ringle C, Henseler J, Hair J (2014) On the emancipation of PLS-SEM: a commentary on rigdon (2012). Long Range Plan 47:154–160CrossRef
Zurück zum Zitat Shmueli G, Ray S, Velasquez Estrada J, Chatla S (2016) The elephant in the room: predictive performance of PLS models. J Bus Res 69(10):4552–4564CrossRef Shmueli G, Ray S, Velasquez Estrada J, Chatla S (2016) The elephant in the room: predictive performance of PLS models. J Bus Res 69(10):4552–4564CrossRef
Zurück zum Zitat Stone M (1974) Cross-validatory choice and assessment of statistical predictions. J R Stat Soc 36:111–147MathSciNetMATH Stone M (1974) Cross-validatory choice and assessment of statistical predictions. J R Stat Soc 36:111–147MathSciNetMATH
Zurück zum Zitat Tenenhaus M (2008) Component-based structural equation modelling. Total Qual Manag Bus Excell 19:871–886CrossRef Tenenhaus M (2008) Component-based structural equation modelling. Total Qual Manag Bus Excell 19:871–886CrossRef
Zurück zum Zitat Tenenhaus M, Hanafi M (2010) A bridge between PLS path modeling and multi-block data analysis. In: Esposito Vinzi V, Chin W, Henseler J, Wang H (eds) Handbook of partial least squares (PLS): concepts, methods and applications. Springer, Berlin Tenenhaus M, Hanafi M (2010) A bridge between PLS path modeling and multi-block data analysis. In: Esposito Vinzi V, Chin W, Henseler J, Wang H (eds) Handbook of partial least squares (PLS): concepts, methods and applications. Springer, Berlin
Zurück zum Zitat Tenenhaus M, Vinzi VE (2005) PLS regression, PLS path modeling and generalized procrustean analysis: a combined approach for PLS regression, PLS path modeling and generalized multiblock analysis. J Chemom 19:145–153CrossRef Tenenhaus M, Vinzi VE (2005) PLS regression, PLS path modeling and generalized procrustean analysis: a combined approach for PLS regression, PLS path modeling and generalized multiblock analysis. J Chemom 19:145–153CrossRef
Zurück zum Zitat Tenenhaus M, Esposito VV, Chatelin YM, Lauro C (2005) PLS path modeling. Comput Stat Data Anal 48(1):159–205MathSciNetCrossRef Tenenhaus M, Esposito VV, Chatelin YM, Lauro C (2005) PLS path modeling. Comput Stat Data Anal 48(1):159–205MathSciNetCrossRef
Zurück zum Zitat Wertz C, Linn R, Jöreskog K (1974) Intraclass reliability estimates: testing structural assumptions. Educ Psychol Meas 34(1):25–33CrossRef Wertz C, Linn R, Jöreskog K (1974) Intraclass reliability estimates: testing structural assumptions. Educ Psychol Meas 34(1):25–33CrossRef
Zurück zum Zitat Wold H (1980) Model construction and evaluation when theoretical knowledge is scarce. In: Ramsey JB, Kmenta J (eds) Evaluation of econometric models. Academic Press, pp 47–74 Wold H (1980) Model construction and evaluation when theoretical knowledge is scarce. In: Ramsey JB, Kmenta J (eds) Evaluation of econometric models. Academic Press, pp 47–74
Zurück zum Zitat Wold H (1982) Soft modeling: the basic design and some extensions. In: Jöreskog K, Wold H (eds) Systems under indirect observation, vol 2. North-Holland, Amsterdam, pp 1–54 Wold H (1982) Soft modeling: the basic design and some extensions. In: Jöreskog K, Wold H (eds) Systems under indirect observation, vol 2. North-Holland, Amsterdam, pp 1–54
Metadaten
Titel
Non-symmetrical composite-based path modeling
verfasst von
Pasquale Dolce
Vincenzo Esposito Vinzi
Natale Carlo Lauro
Publikationsdatum
10.11.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Advances in Data Analysis and Classification / Ausgabe 3/2018
Print ISSN: 1862-5347
Elektronische ISSN: 1862-5355
DOI
https://doi.org/10.1007/s11634-017-0302-1

Weitere Artikel der Ausgabe 3/2018

Advances in Data Analysis and Classification 3/2018 Zur Ausgabe