The Thorny Relation Between Measurement Quality and Fit Index Cutoffs in Latent Variable Models

References

• Allan, N. P., Lonigan, C. J., & Phillips, B. M. (2015). Examining the factor structure and structural invariance of the PANAS across children, adolescents, and young adults. Journal of Personality Assessment, 97, 616–625.
   PubMed Web of Science ®Google Scholar
• Antonakis, J., Bendahan, S., Jacquart, P., & Lalive, R. (2010). On making causal claims: A review and recommendations. The Leadership Quarterly, 21, 1086–1120.
   Web of Science ®Google Scholar
• Bardeen, J. R., Fergus, T. A., Hannan, S. M., & Orcutt, H. K. (2016). Addressing psychometric limitations of the Difficulties in Emotion Regulation Scale through item modification. Journal of Personality Assessment, 98, 298–309.
   PubMed Web of Science ®Google Scholar
• Barrett, P. (2007). Structural equation modelling: Adjudging model fit. Personality and Individual Differences, 42, 815–824.
   Web of Science ®Google Scholar
• Beauducel, A., & Wittmann, W. W. (2005). Simulation study on fit indexes in CFA based on data with slightly distorted simple structure. Structural Equation Modeling, 12, 41–75.
   Web of Science ®Google Scholar
• Bentler, P. M. (1990). Comparative fit indexes in structural models. Psychological Bulletin, 107, 238–246.
   PubMed Web of Science ®Google Scholar
• Bentler, P. M. (2007). On tests and indices for evaluating structural models. Personality and Individual Differences, 42, 825–829.
   Web of Science ®Google Scholar
• Browne, M. W., MacCallum, R. C., Kim, C. T., Andersen, B. L., & Glaser, R. (2002). When fit indices and residuals are incompatible. Psychological Methods, 7, 403–421.
   PubMed Web of Science ®Google Scholar
• Chen, F., Curran, P. J., Bollen, K. A., Kirby, J., & Paxton, P. (2008). An empirical evaluation of the use of fixed cutoff points in RMSEA test statistic in structural equation models. Sociological Methods & Research, 36, 462–494.
   PubMed Web of Science ®Google Scholar
• Cheung, G. W., & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling, 9, 233–255.
   Web of Science ®Google Scholar
• Cole, D. A., & Preacher, K. J. (2014). Manifest variable path analysis: Potentially serious and misleading consequences due to uncorrected measurement error. Psychological Methods, 19, 300–315.
   PubMed Web of Science ®Google Scholar
• Credé, M., & Harms, P. D. (2015). 25 years of higher‐order confirmatory factor analysis in the organizational sciences: A critical review and development of reporting recommendations. Journal of Organizational Behavior, 36, 845–872.
   Web of Science ®Google Scholar
• Demianczyk, A. C., Jenkins, A. L., Henson, J. M., & Conner, B. T. (2014). Psychometric evaluation and revision of Carver and White's BIS/BAS scales in a diverse sample of young adults. Journal of Personality Assessment, 96, 485–494.
   PubMed Web of Science ®Google Scholar
• Fan, X., & Sivo, S. A. (2005). Sensitivity of fit indexes to misspecified structural or measurement model components: Rationale of two-index strategy revisited. Structural Equation Modeling, 12, 343–367.
   Web of Science ®Google Scholar
• Fan, X., & Sivo, S. A. (2007). Sensitivity of fit indices to model misspecification and model types. Multivariate Behavioral Research, 42, 509–529.
   Web of Science ®Google Scholar
• Fergus, T. A., Valentiner, D. P., McGrath, P. B., Gier-Lonsway, S. L., & Kim, H. S. (2012). Short forms of the Social Interaction Anxiety Scale and the Social Phobia Scale. Journal of Personality Assessment, 94, 310–320.
   PubMed Web of Science ®Google Scholar
• Hancock, G. R., & Mueller, R. O. (2001). Rethinking construct reliability within latent variable systems. In R. Cudeck, S. du Toit, & D. Sörbom (Eds.), Structural equation modeling: Present and future—A festschrift in honor of Karl Jöreskog (pp. 195–216). Lincolnwood, IL: Scientific Software International.
   Google Scholar
• Hancock, G. R., & Mueller, R. O. (2011). The reliability paradox in assessing structural relations within covariance structure models. Educational & Psychological Measurement, 71, 306–324.
   Web of Science ®Google Scholar
• Hayduk, L. A. (2014). Shame for disrespecting evidence: The personal consequences of insufficient respect for structural equation model testing. BMC Medical Research Methodology, 14, 124.
   PubMed Web of Science ®Google Scholar
• Hayduk, L., Cummings, G., Boadu, K., Pazderka-Robinson, H., & Boulianne, S. (2007). Testing! Testing! One, two, three—Testing the theory in structural equation models! Personality and Individual Differences, 42, 841–850.
   Web of Science ®Google Scholar
• Hayduk, L. A., & Glaser, D. N. (2000). Jiving the four-step, waltzing around factor analysis, and other serious fun. Structural Equation Modeling, 7, 1–35.
   Web of Science ®Google Scholar
• Heene, M., Hilbert, S., Draxler, C., Ziegler, M., & Bühner, M. (2011). Masking misfit in confirmatory factor analysis by increasing unique variances: A cautionary note on the usefulness of cutoff values of fit indices. Psychological Methods, 16, 319–336.
   PubMed Web of Science ®Google Scholar
• Hu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6, 1–55.
   Web of Science ®Google Scholar
• Ion, A., Iliescu, D., Aldhafri, S., Rana, N., Ratanadilok, K., Widyanti, A., & Nedelcea, C. (2017). A cross-cultural analysis of personality structure through the lens of the Hexaco model. Journal of Personality Assessment, 99, 25–34.
   PubMed Web of Science ®Google Scholar
• Jackson, D. L., Gillaspy, J. A., Jr., & Purc-Stephenson, R. (2009). Reporting practices in confirmatory factor analysis: An overview and some recommendations. Psychological Methods, 14, 6–23.
   PubMed Web of Science ®Google Scholar
• Jöreskog, K. G., & Sörbom, D. (1981). LISREL V: Analysis of linear structural relationships by maximum likelihood and least squares methods. Uppsala, Sweden: Department of Statistics, University of Uppsala.
   Google Scholar
• Joshanloo, M. (2016). Factor structure of subjective well-being in Iran. Journal of Personality Assessment, 98, 435–443.
   PubMed Web of Science ®Google Scholar
• Kang, Y., McNeish, D. M., & Hancock, G. R. (2016). The role of measurement quality on practical guidelines for assessing measurement and structural invariance. Educational and Psychological Measurement, 76, 533–561.
   PubMed Web of Science ®Google Scholar
• Marsh, H. W., Hau, K. T., & Wen, Z. (2004). In search of golden rules: Comment on hypothesis testing approaches to setting cutoff values for fit indexes and dangers in overgeneralizing Hu and Bentler's (1999) findings. Structural Equation Modeling, 11, 320–341.
   Web of Science ®Google Scholar
• McDonald, R. P. (1970). The theoretical foundations of principal factor analysis, canonical factor analysis, and alpha factor analysis. British Journal of Mathematical and Statistical Psychology, 23, 1–21.
   Web of Science ®Google Scholar
• McIntosh, C. (2007). Rethinking fit assessment in structural equation modelling: A commentary and elaboration on Barrett (2007). Personality and Individual Differences, 42, 859–867.
   Web of Science ®Google Scholar
• Michel, J. S., Pace, V. L., Edun, A., Sawhney, E., & Thomas, J. (2014). Development and validation of an explicit aggressive beliefs and attitudes scale. Journal of Personality Assessment, 96, 327–338.
   PubMed Web of Science ®Google Scholar
• Miles, J., & Shevlin, M. (2007). A time and a place for incremental fit indices. Personality and Individual Differences, 42, 869–874.
   Web of Science ®Google Scholar
• Mulaik, S. (2007). There is a place for approximate fit in structural equation modelling. Personality and Individual Differences, 42, 883–891.
   Web of Science ®Google Scholar
• Rice, K. G., Richardson, C. M., & Tueller, S. (2014). The short form of the revised Almost Perfect Scale. Journal of Personality Assessment, 96, 368–379.
   PubMed Web of Science ®Google Scholar
• Saris, W. E., & Satorra, A. (1992). Power evaluations in structural equation models. In K. A. Bollen and S. Long (Eds.), Testing in structural equation models (pp. 181–204). London, UK: Sage.
   Google Scholar
• Saris, W. E., Satorra, A., & van der Veld, W. M. (2009). Testing structural equation models or detection of misspecifications? Structural Equation Modeling, 16, 561–582.
   Web of Science ®Google Scholar
• Savalei, V. (2012). The relationship between root mean square error of approximation and model misspecification in confirmatory factor analysis models. Educational and Psychological Measurement, 72, 910–932.
   Web of Science ®Google Scholar
• Steiger, J. H. (2000). Point estimation, hypothesis testing, and interval estimation using the RMSEA: Some comments and a reply to Hayduk and Glaser. Structural Equation Modeling, 7, 149–162.
   Web of Science ®Google Scholar
• Steiger, J. H. (2007). Understanding the limitations of global fit assessment in structural equation modeling. Personality and Individual Differences, 42, 893–898.
   Web of Science ®Google Scholar
• Steiger, J. H., & Lind, J. C. (1980, May). Statistically-based tests for the number of common factors. Paper presented at the annual meeting of the Psychometric Society, Iowa City, IA.
   Google Scholar
• Tomarken, A. J., & Waller, N. G. (2003). Potential problems with “well fitting” models. Journal of Abnormal Psychology, 112, 578–598.
   PubMed Web of Science ®Google Scholar
• You, J., Leung, F., Lai, K. K. Y., & Fu, K. (2013). Factor structure and psychometric properties of the Pathological Narcissism Inventory among Chinese university students. Journal of Personality Assessment, 95, 309–318.
   PubMed Web of Science ®Google Scholar