627
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Robustness Conditions for MIIV-2SLS When the Latent Variable or Measurement Model is Structurally Misspecified

ORCID Icon, &

References

  • Anderson, J. C., & Gerbing, D. W. (1988). Structural equation modeling in practice: A review and recommended two-step approach. Psychological Bulletin, 103, 411–423. doi:10.1037/0033-2909.103.3.411
  • Bauldry, S. (2014). miivfind: A command for identifying model-implied instrumental variables for structural equation models in Stata. Stata Journal, 14, 60–75.
  • Bollen, K. A. (1987). Total, direct, and indirect effects in structural equation models. Sociological Methodology, 17, 37–69.
  • Bollen, K. A. (1989). Structural equations with latent variables. New York, NY: Wiley.
  • Bollen, K. A. (1996). An alternative 2SLS estimator for latent variable models. Psychometrika, 61, 109–121. doi:10.1007/BF02296961
  • Bollen, K. A. (2001). Two-stage least squares and latent variable models: Simultaneous estimation and robustness to misspecifications. In R. Cudeck, S. D. Toit, & D. Sörbom (Eds.), Structural equation modeling: Present and Future, A Festschrift in Honor of Karl Jöreskog (pp. 119–138). Lincoln, IL: Scientific Software.
  • Bollen, K. A., & Bauer, D. J. (2004). Automating the selection of model-implied instrumental variables. Sociological Methods & Research, 32(4), 425–452. doi:10.1177/0049124103260341
  • Bollen, K. A., Kirby, J. B., Curran, P. J., Paxton, P. M., & Chen, F. (2007). Latent variable models under misspecification: Two stage least squares (2SLS) and maximum likelihood (ML) estimators. Sociological Methods and Research, 36, 46–86. doi:10.1177/0049124107301947
  • Bollen, K. A., Kolenikov, S., & Bauldry, S. (2014). Model-implied instrumental variable—generalized method of moments (MIIV-GMM) estimators for latent variable models. Psychometrika, 79(1), 20–50. doi:10.1007/s11336-013-9335-3
  • Bollen, K. A., & Maydeu-Oliveres, A. (2007). A polychoric instrumental variable (PIV) estimator for structural equation models with categorical variables. Psychometrika, 72, 309–326. doi:10.1007/s11336-007-9006-3
  • Browne, M. W. (1984). Asymptotically distribution-free methods for the analysis of covariance structures. British Journal of Mathematical and Statistical Psychology, 37(1), 62–83.
  • Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 136–162). Newbury Park, CA: Sage.
  • Fisher, Z., Bollen, K. A., Gates, K., & Rönkkö, M. (2017). MIIVsem: Model Implied Instrumental Variable (MIIV) estimation of structural equation models. R package version 0.5.0.
  • 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. doi:10.1207/S15328007SEM0701_01
  • Jin, S., Luo, H., & Yang-Wallentin, F. (2016). A simulation study of polychoric instrumental variable estimation in structural equation models. Structural Equation Modeling, 23(5), 680–694. doi:10.1080/10705511.2016.1189334
  • Jöreskog, K. G., & Sörbom, D. (2001). LISREL 8: User’s reference guide. Uppsala, Sweden: Scientific Software International.
  • Kaplan, D. (1989). A study of the sampling variability and z-values of parameter estimates from misspecified structural equation models. Multivariate Behavioral Research, 24, 41–57.
  • Kaplan, D., & Wenger, R. N. (1993). Asymptotic independence and separability in covariance structure models: Implications for specification error, power, and model modification. Multivariate Behavioral Research, 28, 483–498.
  • Kirby, J., & Bollen, K. A. (2009). Using instrumental variable (IV) tests to evaluate model specification in latent variable structural equation models. Sociological Methodology, 39, 327–355. doi:10.1111/j.1467-9531.2009.01217.x
  • Kolenikov, S., & Bollen, K. A. (2012). Testing negative error variances: Is a heywood case a symptom of misspecification? Sociological Methods and Research, 41, 124–167. doi:10.1177/0049124112442138
  • MacCallum, R. C., Browne, M. W., & Cai, L. (2007). Factor analysis models as approximations. In R. Cudeck & R. C. MacCallum (Eds.), Factor analysis at 100: Historical developments and future directions. Mahwah, NJ: Lawrence Erlbaum Associates Publishers.
  • McDonald, R. P. (2010). Structural models and the art of approximation. Perspectives on Psychological Science, 5, 675–686. doi:10.1177/1745691610388766
  • McDonald, R. P., & Ho, M. R. (2002). Principles and practice in reporting structural equation analyses. Psychological Methods, 7, 64–82. doi:10.1037/1082-989X.7.1.64
  • Mulaik, S. A. & Millsap, R. E. (2000). Doing the four-step right. Structural Equation Modeling, 7(1), 36–73. doi:10.1207/S15328007SEM0701_02
  • Nestler, S. (2013). A Monte Carlo study comparing PIV, ULS and DWLS in the estimation of dichotomous confirmatory factor analysis. British Journal of Mathematical and Statistical Psychology, 66(1), 127–143. doi:10.1111/j.2044-8317.2012.02044.x
  • O’Boyle, E. H., Jr., & Williams, L. J. (2011). Decomposing model fit: measurement vs. Theory in organizational research using latent variables. Journal of Applied Psychology, 96, 1–12. doi:10.1037/a0020539
  • Sargan, J. (1958). The estimation of economic relationships using instrumental variables. Econometrica, 26, 393–415. doi:10.2307/1907619
  • Yuan, K.-H., Kouros, C. D., & Kelley, K. (2008). Diagnosis for covariance structure models by analyzing the path. Structural Equation Modeling, 15, 564–602.
  • Yuan, K.-H., Marshall, L. L., & Bentler, P. M. (2003). Assessing the effect of model misspecifications on parameter estimates in structural equation models. Sociological Methodology, 33, 241–265.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.