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Arman Oganisian1, Nandita Mitra2, Jason A Roy3

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|December 30, 2022
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Summary
This summary is machine-generated.

This study introduces a hierarchical Bayesian bootstrap (HBB) method to improve heterogeneous average treatment effect (HTE) estimation in sparse data. The HBB method enhances causal inference by enabling information sharing across strata.

Keywords:
Bayesian nonparametricsDirichlet processbootstrapcausal inferenceheterogenous treatment effects

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Area of Science:

  • Causal Inference
  • Statistical Modeling
  • Biostatistics

Background:

  • Estimating heterogeneous average treatment effects (HTE) is crucial for understanding treatment variations across subgroups.
  • Standard HTE estimation methods struggle with sparsely populated strata, leading to unreliable confounder distribution estimates.
  • Independent estimation of stratum-specific confounder distributions limits statistical power and introduces bias in low-data strata.

Purpose of the Study:

  • To develop a novel nonparametric hierarchical Bayesian bootstrap (HBB) prior for improved HTE estimation.
  • To address the challenge of sparse confounder data in stratum-specific analyses.
  • To enable principled borrowing of confounder information across strata.

Main Methods:

  • Developed a nonparametric hierarchical Bayesian bootstrap (HBB) prior.
  • Applied HBB to partially pool stratum-specific confounder distributions.
  • Evaluated HBB for HTE estimation, focusing on efficiency gains and robustness to sparsity.

Main Results:

  • The HBB approach demonstrated efficiency gains over standard marginalization techniques.
  • Partial pooling of confounder information across strata improved estimation in sparse settings.
  • The method avoided strong parametric assumptions about confounder distributions.

Conclusions:

  • The proposed HBB prior offers a robust and efficient method for HTE estimation, particularly in the presence of sparse data.
  • This approach enhances causal inference by leveraging information across strata.
  • The methodology was successfully applied to estimate adverse event risks in cancer chemoradiotherapy.