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Mediation analysis with principal stratification
Robert Gallop1, Dylan S Small, Julia Y Lin
1Department of Mathematics, Applied Statistics Program, West Chester University, 323B Anderson Hall, West Chester, PA 19383, U.S.A. rgallop@wcupa.edu
Abstract:
In assessing the mechanism of treatment efficacy in randomized clinical trials, investigators often perform mediation analyses by analyzing if the significant intent-to-treat treatment effect on outcome occurs through or around a third intermediate or mediating variable: indirect and direct effects, respectively. Standard mediation analyses assume sequential ignorability, i.e. conditional on covariates the intermediate or mediating factor is randomly assigned, as is the treatment in a randomized clinical trial. This research focuses on the application of the principal stratification (PS) approach for estimating the direct effect of a randomized treatment but without the standard sequential ignorability assumption. This approach is used to estimate the direct effect of treatment as a difference between expectations of potential outcomes within latent subgroups of participants for whom the intermediate variable behavior would be constant, regardless of the randomized treatment assignment. Using a Bayesian estimation procedure, we also assess the sensitivity of results based on the PS approach to heterogeneity of the variances among these principal strata. We assess this approach with simulations and apply it to two psychiatric examples. Both examples and the simulations indicated robustness of our findings to the homogeneous variance assumption. However, simulations showed that the magnitude of treatment effects derived under the PS approach were sensitive to model mis-specification.
Insights
This study introduces the principal stratification (PS) approach for estimating direct treatment effects in clinical trials without assuming sequential ignorability. The PS method proved robust to variance heterogeneity but sensitive to model mis-specification in simulations.
Area of Science:
- Biostatistics
- Clinical Trials Methodology
- Psychiatric Research
Background:
- Mediation analysis in randomized clinical trials (RCTs) assesses treatment effects via intermediate variables.
- Standard methods assume sequential ignorability, which may not always hold.
- Principal stratification (PS) offers an alternative framework for causal inference.
Purpose of the Study:
- To apply and evaluate the principal stratification (PS) approach for estimating direct treatment effects in RCTs.
- To assess the impact of the sequential ignorability assumption in mediation analysis.
- To examine the sensitivity of PS estimates to variance heterogeneity and model mis-specification.
Main Methods:
- Utilized the principal stratification (PS) framework to define and estimate direct effects.
- Employed a Bayesian estimation procedure for the PS model.
- Conducted simulation studies to assess robustness and sensitivity.
- Applied the methodology to two real-world psychiatric clinical trial examples.
Main Results:
- The PS approach successfully estimated direct treatment effects without the sequential ignorability assumption.
- Results demonstrated robustness to the assumption of homogeneous variances across principal strata.
- Simulations indicated that the magnitude of direct effects estimated by PS is sensitive to model mis-specification.
Conclusions:
- The principal stratification (PS) approach provides a viable alternative for mediation analysis in RCTs when sequential ignorability is questionable.
- Careful model specification is crucial for reliable estimation of direct treatment effects using the PS method.
- The PS approach offers valuable insights into treatment mechanisms in psychiatric research.
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