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  1. Home
  3. Why You Should Not Estimate Mediated Effects Using The Difference-in-coefficients Method When The Outcome Is Binary.
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  3. Why You Should Not Estimate Mediated Effects Using The Difference-in-coefficients Method When The Outcome Is Binary.

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Why You Should Not Estimate Mediated Effects Using the Difference-in-Coefficients Method When the Outcome is Binary.

Judith J M Rijnhart1, Matthew J Valente1, David P MacKinnon2

  • 1College of Public Health, University of South Florida.

Multivariate Behavioral Research
|October 29, 2024

View abstract on PubMed

Summary
This summary is machine-generated.

The difference-in-coefficients method incorrectly estimates indirect effects in binary outcome mediation models due to conflating non-collapsibility. Alternative methods are recommended for accurate mediation analysis.

Keywords:
Binary outcomeindirect effectlogistic regressionmediation analysisprobit regression

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Area of Science:

  • Statistics
  • Biostatistics
  • Epidemiology

Background:

  • The difference-in-coefficients method is frequently used for mediation analysis despite known issues with binary outcomes.
  • This method conflates indirect effect estimation with non-collapsibility, leading to inaccurate results.
  • Lack of awareness regarding this conflation contributes to its continued widespread use.

Purpose of the Study:

  • To demonstrate the problems of the difference-in-coefficients method in mediation models with binary outcomes.
  • To provide a formula decomposing the difference-in-coefficients estimate into non-collapsibility and indirect effect components.
  • To highlight the impact of non-collapsibility on indirect effect estimates.

Main Methods:

  • Decomposition formula for the difference-in-coefficients estimate.
  • Simulation study to illustrate the impact of non-collapsibility.
  • Empirical data example analysis.
  • Demonstration of alternative methods: product-of-coefficients and regression-based causal mediation analysis.

    • Main Results:

    • The difference-in-coefficients estimate is shown to be a combination of non-collapsibility and the true indirect effect.
    • Non-collapsibility significantly impacts the accuracy of indirect effect estimates when using this method with binary outcomes.
    • Alternative methods provide more accurate indirect effect estimates.

    Conclusions:

    • The difference-in-coefficients method is inappropriate for estimating indirect effects in mediation models with binary outcomes.
    • Researchers must be aware of the non-collapsibility issue and its consequences.
    • Employing methods not affected by non-collapsibility, such as product-of-coefficients or causal mediation analysis, is crucial for valid indirect effect estimation.