The problem of equivalent models in applications of covariance structure analysis.

MacCallum, Robert C., Wegener, Duane T., Uchino, Bert N., Fabrigar, Leandre R.·1993·Psychological Bulletin
DOI 10.1037//0033-2909.114.1.185

Abstract

For any given covariance structure model, there will often be alternative models that are indistinguishable from the original model in terms of goodness of fit to data. The existence of such equivalent models is almost universally ignored in empirical studies. A study of 53 published applications showed that equivalent models exist routinely, often in large numbers. Detailed study of three applications showed that equivalent models may often offer substantively meaningful alternative explanations of data. The importance of the equivalent model phenomenon and recommendations for managing and confronting the problem in practice are discussed.

Cites (3)

  1. A social-cognitive approach to motivation and personality.
    Dweck, Carol S., Leggett, Ellen L. · 1988 · Psychological Review
  2. Motivational processes affecting learning.
    Dweck, Carol S. · 1986 · American Psychologist
  3. Attitude-behavior relations: A comparison of the Fishbein-Ajzen and the Bentler-Speckart models
    Fredricks, Arlene J., Dossett, Dennis L. · 1983 · Journal of Personality and Social Psychology

Show all 3 references

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CoChat. (2026). Citation check: The problem of equivalent models in applications of covariance structure analysis. https://app.cochat.ai/papers/10.1037//0033-2909.114.1.185
The paper
MacCallum, R. C., Wegener, D. T., Uchino, B. N., & Fabrigar, L. R. (1993). The problem of equivalent models in applications of covariance structure analysis. Psychological Bulletin. https://doi.org/10.1037//0033-2909.114.1.185

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