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Flexible cutoff values for fit indices in the evaluation of structural equation models

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  • Thomas Niemand

    (Clausthal University of Technology)

  • Robert Mai

    (Univ Grenoble Alpes ComUE)

Abstract

Researchers often struggle when applying ‘golden rules of thumb’ to evaluate structural equation models. This paper questions the notion of universal thresholds and calls for adjusted orientation points that account for sample size, factor loadings, the number of latent variables and indicators, as well as data (non-)normality. This research explores the need for flexible cutoffs and their accuracy in single- and two-index strategies. Study 1 reveals that many indices are biased; thus, rigid cutoffs can become imprecise. Flexible cutoff values are shown to compensate for the unique distorting patterns and prove to be particularly beneficial for moderate misspecification. Study 2 sheds further light on this ‘gray’ area of misspecification and disentangles the different sources of misspecification. Study 3 finally investigates the performance of flexible cutoffs for non-normal data. Having substantiated higher performance for flexible reference values, this paper provides to managers an easy-to-use tool that facilitates the determination of adequate cutoffs.

Suggested Citation

  • Thomas Niemand & Robert Mai, 2018. "Flexible cutoff values for fit indices in the evaluation of structural equation models," Journal of the Academy of Marketing Science, Springer, vol. 46(6), pages 1148-1172, November.
    • Handle: RePEc:spr:joamsc:v:46:y:2018:i:6:d:10.1007_s11747-018-0602-9
    DOI: 10.1007/s11747-018-0602-9
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    1. V Kumar & Amalesh Sharma & Shaphali Gupta, 2017. "Accessing the influence of strategic marketing research on generating impact: moderating roles of models, journals, and estimation approaches," Journal of the Academy of Marketing Science, Springer, vol. 45(2), pages 164-185, March.
    2. James Anderson & David Gerbing, 1984. "The effect of sampling error on convergence, improper solutions, and goodness-of-fit indices for maximum likelihood confirmatory factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 49(2), pages 155-173, June.
    3. James J. Zboja & Ronald A. Clark & Diana L. Haytko, 2016. "An offer you can’t refuse: consumer perceptions of sales pressure," Journal of the Academy of Marketing Science, Springer, vol. 44(6), pages 806-821, November.
    4. Sharma, Subhash & Mukherjee, Soumen & Kumar, Ajith & Dillon, William R., 2005. "A simulation study to investigate the use of cutoff values for assessing model fit in covariance structure models," Journal of Business Research, Elsevier, vol. 58(7), pages 935-943, July.
    5. Albert Satorra & Peter Bentler, 2001. "A scaled difference chi-square test statistic for moment structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 507-514, December.
    6. Sunil Gupta & Dominique Hanssens & John R. Hauser & Donald Lehmann & Bernd Schmitt, 2014. "Introduction to Theory and Practice in Marketing Conference Special Section of Marketing Science," Marketing Science, INFORMS, vol. 33(1), pages 1-5, January.
    7. Ledyard Tucker & Charles Lewis, 1973. "A reliability coefficient for maximum likelihood factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 38(1), pages 1-10, March.
    8. Babakus, Emin & Boller, Gregory W., 1992. "An empirical assessment of the SERVQUAL scale," Journal of Business Research, Elsevier, vol. 24(3), pages 253-268, May.
    9. C. Fred Miao & Guangping Wang, 2017. "Effects of work–family interface conflicts on salesperson behaviors: a double-edged sword," Journal of the Academy of Marketing Science, Springer, vol. 45(5), pages 762-783, September.
    10. Anne Boomsma, 1985. "Nonconvergence, improper solutions, and starting values in lisrel maximum likelihood estimation," Psychometrika, Springer;The Psychometric Society, vol. 50(2), pages 229-242, June.
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