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A Bayesian Approach for Estimating Mediation Effects with Missing Data.

Craig K Enders1, Amanda J Fairchild, David P Mackinnon

  • 1Department of Psychology, Arizona State University.

Multivariate Behavioral Research
|September 17, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a Bayesian approach for mediation analysis with missing data, offering a robust method comparable to existing techniques. The approach is flexible for various variables and includes a practical SAS macro for implementation.

Keywords:
Bayesian estimationMediationSobel testbias corrected bootstrapindirect effectsmissing data

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Area of Science:

  • Statistics
  • Psychometrics
  • Biostatistics

Background:

  • Mediation analysis is crucial for understanding indirect effects in various fields.
  • Handling missing data in mediation analysis remains a methodological challenge.
  • Existing methods for missing data in mediation analysis are limited.

Purpose of the Study:

  • To present a general Bayesian approach for mediation analysis with missing data.
  • To demonstrate the flexibility of the Bayesian method across different numbers of manifest variables.
  • To provide a practical tool for implementing Bayesian mediation analysis with missing data.

Main Methods:

  • Developed a general Bayesian missing data handling approach.
  • Applied the approach to mediation analyses with multiple manifest variables.
  • Conducted computer simulation studies to evaluate performance.

Main Results:

  • The Bayesian approach demonstrated frequentist coverage rates comparable to maximum likelihood with bias-corrected bootstrap.
  • Power estimates from the Bayesian method were also comparable to established techniques.
  • Simulations confirmed the reliability and accuracy of the proposed Bayesian method.

Conclusions:

  • The proposed Bayesian method offers a viable and effective solution for mediation analysis with missing data.
  • The approach is adaptable to complex models with numerous variables.
  • A SAS macro is provided to facilitate the application of this method in research.