Model Selection in Information Systems Research Using Partial Least Squares Based Structural Equation Modeling

Partial Least Squares (PLS) based Structural Equation Modeling (SEM) has become increasingly popular in Management Information Systems (MIS) research to model complex relationships and to make valid inferences from the restricted sample to the larger population. Given the larger goal of creating generalizable theories in MIS research, we argue that the lack of model selection criteria in PLS that penalize model complexity might be causing researchers to select unnecessarily complex but highly fitting models that may not generalize to other samples. We introduce several Information Theoretic (IT) model selection criteria in the PLS context that penalize model complexity but reward high fit, and therefore guide researchers to select a parsimonious and generalizable model. In this Monte Carlo study, we compare their performance to the currently existing PLS indices, in selecting the best model among a set of competing models under various conditions of sample size, effect size and data distribution.

[1]  Vincenzo Esposito Vinzi,et al.  PLS Path Modeling: From Foundations to Recent Developments and Open Issues for Model Assessment and Improvement , 2010 .

[2]  Straub,et al.  Editor's Comments: An Update and Extension to SEM Guidelines for Administrative and Social Science Research , 2011 .

[3]  Wynne W. Chin The partial least squares approach for structural equation modeling. , 1998 .

[4]  Allen I. Fleishman A method for simulating non-normal distributions , 1978 .

[5]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[7]  John Geweke,et al.  Estimating regression models of finite but unknown order , 1981 .

[8]  Walter Zucchini,et al.  Model Selection , 2011, International Encyclopedia of Statistical Science.

[9]  Manendra Mohan,et al.  International Marketing , 1978, International Business Strategy.

[10]  Rachna Shah,et al.  Use of structural equation modeling in operations management research: Looking back and forward ☆ , 2006 .

[11]  R. Shibata Asymptotically Efficient Selection of the Order of the Model for Estimating Parameters of a Linear Process , 1980 .

[12]  Zhiqiang Zheng,et al.  Toward a Causal Interpretation from Observational Data: A New Bayesian Networks Method for Structural Models with Latent Variables , 2006 .

[13]  Rudolf R. Sinkovics,et al.  The Use of Partial Least Squares Path Modeling in International Marketing , 2009 .

[14]  W. Reinartz,et al.  An Empirical Comparison of the Efficacy of Covariance-Based and Variance-Based SEM , 2009 .

[15]  Christian Homburg,et al.  Cross-Validation and Information Criteria in Causal Modeling , 1991 .

[16]  Marko Sarstedt,et al.  Goodness-of-fit indices for partial least squares path modeling , 2013, Comput. Stat..

[17]  I. J. Myung,et al.  The Importance of Complexity in Model Selection. , 2000, Journal of mathematical psychology.

[18]  H. Akaike A Bayesian analysis of the minimum AIC procedure , 1978 .

[19]  David R. Anderson,et al.  Model selection and multimodel inference : a practical information-theoretic approach , 2003 .

[20]  D. Straub,et al.  A CRITICAL LOOK AT THE USE OF PLS-SEM IN MISQ , 2012 .

[21]  Yuhong Yang Can the Strengths of AIC and BIC Be Shared , 2005 .

[22]  A. McQuarrie,et al.  Regression and Time Series Model Selection , 1998 .

[23]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[24]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[25]  C. D. Vale,et al.  Simulating multivariate nonnormal distributions , 1983 .

[26]  V. E. Vinzi,et al.  A global Goodness – of – Fit index for PLS structural equation modelling 1 , 2004 .

[27]  Nils Lid Hjort,et al.  Model Selection and Model Averaging , 2001 .

[28]  B. G. Quinn,et al.  The determination of the order of an autoregression , 1979 .

[29]  C. Mallows Some Comments on Cp , 2000, Technometrics.

[30]  N. Sugiura Further analysts of the data by akaike' s information criterion and the finite corrections , 1978 .

[31]  Mary Tate,et al.  Testing Models or Fitting Models? Identifying Model Misspecification in PLS , 2010, ICIS.

[32]  Carol Saunders,et al.  PLS: A Silver Bullet? , 2006 .

[33]  H. Akaike Statistical predictor identification , 1970 .