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Goodness-of-fit indices for partial least squares path modeling

Open access
Henseler, Jörg, Sarstedt, Marko·2013·Computational Statistics

Abstract

This paper discusses a recent development in partial least squares (PLS) path modeling, namely goodness-of-fit indices. In order to illustrate the behavior of the goodness-of-fit index (GoF) and the relative goodness-of-fit index (GoF rel ), we estimate PLS path models with simulated data, and contrast their values with fit indices commonly used in covariance-based structural equation modeling. The simulation shows that the GoF and the GoF rel are not suitable for model validation. However, the GoF can be useful to assess how well a PLS path model can explain different sets of data.

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Research works printed but not linked: 35

  1. Bagozzi RP, Yi Y (1994) Advanced topics in structural equation models. In: Bagozzi RP (eds) Advanced methods of marketing research. Blackwell, Oxford, p 151
  2. Bollen KA (1989a) A new incremental fit index for general structural equation models. Sociol Methods Res 17(3): 303 · DOI · Paper page
  3. Bollen KA (1989b) Structural equations with latent variables. Wiley, New York, NY · DOI · Paper page
  4. Chin W (2010) How to write up and report PLS analyses. In: EspositoVinzi V, Chin WW, Henseler J, Wang H (eds) Handbook of partial least squares: concepts, methods and applications. Springer, Heidelberg, pp 655–690 · DOI · Paper page
  5. Chin WW, Newsted PR (1999) Structural equation modeling analysis with small samples using partial least squares. In: Hoyle RH (eds) Statistical strategies for small sample research. Sage, Thousand Oaks, CA, pp 334–342
  6. Dijkstra TK (1981) Latent variables in linear stochastic models: reflections on “Maximum Likelihood” and “Partial Least Squares” methods. PhD thesis, Groningen University, Groningen, a second edition was published in 1985 by Sociometric Research Foundation
  7. Dijkstra TK (2010) Latent variables and indices: Herman Wold’s basic design and partial least squares. In: Vinzi VE, Chin WW, Henseler J, Wang H (eds) Handbook of partial least squares: concepts, methods, and applications, computational statistics, vol II, Springer, Heidelberg, pp 23–46 (in print) · DOI · Paper page
  8. Duarte P, Raposo M (2010) A PLS model to study brand preference: an application to the mobile phone market. In: EspositoVinzi V, Chin WW, Henseler J, Wang H (eds) Handbook of partial least squares: concepts, methods and applications. Springer, Heidelberg, pp 449–485 · DOI · Paper page
  9. EspositoVinzi V, Trinchera L, Squillacciotti S, Tenenhaus M (2008) REBUS-PLS: A response-based procedure for detecting unit segments in PLS path modelling. Appl Stoch Models Bus Ind 24(5): 439–458 · DOI · Paper page
  10. Esposito Vinzi V, Chin WW, Henseler J, Wang H (eds) (2010a) Handbook of partial least squares: concepts, methods and applications. Springer, Heidelberg · DOI · Paper page
  11. Esposito Vinzi V, Trinchera L, Amato S (2010b) PLS path modeling: from foundations to recent developments and open issues for model assessment and improvement. In: EspositoVinzi V, Chin WW, Henseler J, Wang H (eds) Handbook of partial least squares: concepts, methods and applications. Springer, Heidelberg, pp 47–82 · DOI · Paper page
  12. Fornell C (1995) The quality of economic output: empirical generalizations about its distribution and relationship to market share. Market Sci 14(3): G203–G211 · DOI
  13. Fornell C, Bookstein FL (1982) Two structural equation models: LISREL and PLS applied to consumer exit-voice theory. J Market Res 19(4): 440–452 · DOI · Paper page
  14. Hanafi M (2007) PLS path modelling: computation of latent variables with the estimation mode B. Comput Stat 22(2): 275–292 · DOI · Paper page
  15. Henseler J (2010) On the convergence of the partial least squares path modeling algorithm. Comput Stat 25(1): 107–120 · DOI · Paper page
  16. Henseler J, Ringle C, Sinkovics R (2009) The use of partial least squares path modeling in international marketing. Adv Int Market 20(2009): 277–319 · doi:10.1108/s1474-7979(2009)0000020014 · Paper page
  17. Hulland J (1999) Use of partial least squares (PLS) in strategic management research: a review of four recent studies. Strateg Manag J 20(2): 195–204 · DOI · Paper page
  18. Krijnen W, Dijkstra T, Gill R (1998) Conditions for factor (in) determinacy in factor analysis. Psychometrika 63(4): 359–367 · DOI
  19. Lohmöller JB (1989) Latent variable path modeling with partial least squares. Physica, Heidelberg · DOI · Paper page
  20. Monecke A, Leisch F (2012) semPLS: Structural equation modeling using partial least squares. J Stat Softw (forthcoming) · DOI · Paper page
  21. Mulaik SA, James LR, van Alstine J, Bennett N, Lind S, Stilwell CD (1989) Evaluation of goodness-of-fit indices for structural equation models. Psychol Bull 105: 430–445 · DOI · Paper page
  22. Paxton P, Curran P, Bollen K, Kirby J, Chen F (2001) Monte carlo experiments: design and implementation. Struct Equ Model 8(2): 287–312 · DOI · Paper page
  23. Rigdon EE, Ringle CM, Sarstedt M (2010) Structural modeling of heterogeneous data with partial least squares. In: Malhotra NK (ed) Review of marketing research, vol 7. Sharpe, pp 255–296 · doi:10.1108/s1548-6435(2010)0000007011 · Paper page
  24. Sarstedt M, Ringle CM (2010) Treating unobserved heterogeneity in PLS path modelling: a comparison of FIMIX-PLS with different data analysis strategies. J Appl Stat 37(8): 1299–1318 · DOI · Paper page
  25. Sosik J, Kahai S, Piovoso M (2009) Silver bullet or voodoo statistics. Group Organ Manag 34(1): 5 · DOI · Paper page
  26. Tenenhaus A, Tenenhaus M (2011) Regularized generalized caconical correlation analysis. Psychometrika 76(2): 257–284 · DOI · Paper page
  27. Tenenhaus M, Amato S, Esposito Vinzi V (2004) A global goodness-of-fit index for PLS structural equation modelling. In: Proceedings of the XLII SIS scientific meeting. pp 739–742
  28. Tenenhaus M, Vinzi VE, Chatelin YM, Lauro C (2005) PLS path modeling. Comput Stat Data Anal 48(1): 159–205 · DOI · Paper page
  29. Wheaton B, Muthén B, Alwin DF, Summers GF (1977) Assessing reliability and stability in panel models. In: Heise D (eds) Sociological methodology. Jossey-Bass, Washington, DC, pp 84–136
  30. Wold HOA (1966) Non-linear estimation by iterative least squares procedures. In: David FN (eds) Research papers in statistics. Wiley, London, pp 411–444
  31. Wold HOA (1973) Nonlinear iterative partial least squares (NIPALS) modelling. Some current developments. In: Krishnaiah PR (ed) Proceedings of the 3rd international symposium on multivariate analysis, Dayton, OH. pp 383–407
  32. Wold HOA (1974) Causal flows with latent variables: partings of the ways in the light of NIPALS modelling. Eur Econ Rev 5(1): 67–86 · DOI · Paper page
  33. Wold HOA (1982) Soft modelling: the basic design and some extensions. In: Jöreskog KG, Wold HOA (eds) Systems under indirect observation. Causality, structure, prediction, vol II. North-Holland, Amsterdam, New York, Oxford, pp 1–54
  34. Wold HOA (1985a) Partial least squares. In: Kotz S, Johnson NL (eds) Encyclopaedia of statistical sciences, vol 6. Wiley, New York, NY, pp 581–591
  35. Wold HOA (1985b) Partial least squares and LISREL models. In: Nijkamp P, Leitner H, Wrigley N (eds) Measuring the unmeasurable. Nijhoff, Dordrecht, Boston, Lancaster, pp 220–251 · DOI · Paper page

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Metadata

Authors
Henseler, J., & Sarstedt, M.
Venue
Computational Statistics
Published
2012-03-04
Volume
28
Issue
2
Pages
565-580
ISSN
  • 0943-4062 (ISSN-L)
  • 1613-9658
OpenAlex
W2108401663
Cited by
1,842
References
13
FWCI
38.20
Type
journal article
Language
en
Open access
hybrid

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Henseler, J., & Sarstedt, M. (2013). Goodness-of-fit indices for partial least squares path modeling. Computational Statistics. https://doi.org/10.1007/s00180-012-0317-1

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