Skip to main content

A Note on the Approximate Distributions of Fit Indexes for Misspecified Structural Equation Models

  • Conference paper
New Developments in Psychometrics

Summary

Two revised formulas are presented for the asymptotic variances of the fit indexes for misspecified structural equation models. The first formula gives a form simpler than that given by Ogasawara (2001) and the second one values closer to the simulated ones than those provided by Ogasawara (2001).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bentler PM (1990) Comparative fit indexes in structural models. Psychological Bulletin 107: 238–246

    Article  Google Scholar 

  • Bentler PM, Bonett DG (1980) Significance tests and goodness of fit in the analysis of covariance structures. Psychological Bulletin 88: 588–606

    Article  Google Scholar 

  • Bollen KA (1986) Sample size and Bentler and Bonett’s nonnormed fit index. Psychometrika 51: 375–377

    Article  Google Scholar 

  • Bollen KA (1989) A new incremental fit index for general equation models. Sociological Methods Research 17: 303–316

    Article  Google Scholar 

  • Harman HH (1976) Modern factor analysis, 3rd edn. University of Chicago Press, Chicago.

    Google Scholar 

  • Jöreskog KG, Sörbom D (1981) LISREL V: Analysis of linear structural relations by the method of maximum likelihood. International Educational Services, Chicago

    Google Scholar 

  • McDonald RP (1989) An index of goodness-of-fit based on noncentrality. Journal of Classification 6: 97–103

    Article  Google Scholar 

  • McDonald RP, Marsh HW (1990) Choosing a multivariate model: Noncentrality and goodness of fit. Psychological Bulletin 107: 247–255

    Google Scholar 

  • Ogasawara H (2001) Approximations to the distributions of fit indexes for misspecified structural equation models. Structural Equation Modeling 8: 556–574

    Article  MathSciNet  Google Scholar 

  • Steiger JH (1989) EzPATH: A supplementary module for SYSTAT and SYGRAPH. SYSTAT Inc, Evanstone, IL

    Google Scholar 

  • Steiger JH, Lind JC (1980, May) Statistically based tests for the number of common factors. Paper presented at the annual Spring Meeting of the Psychometric Society, Iowa City, IA.

    Google Scholar 

  • Tucker LR, Lewis C (1973) A reliability coefficient for maximum likelihood factor analysis. Psychometrika 38: 1–10

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Yanai A. Okada K. Shigemasu Y. Kano J. J. Meulman

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Japan

About this paper

Cite this paper

Ogasawara, H. (2003). A Note on the Approximate Distributions of Fit Indexes for Misspecified Structural Equation Models. In: Yanai, H., Okada, A., Shigemasu, K., Kano, Y., Meulman, J.J. (eds) New Developments in Psychometrics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66996-8_9

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-66996-8_9

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66998-2

  • Online ISBN: 978-4-431-66996-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics