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Related Experiment Video

Updated: Sep 13, 2025

Inverse Probability of Treatment Weighting Propensity Score using the Military Health System Data Repository and National Death Index
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Inverse probability weighting for causal inference in hierarchical data.

Lin Hu1, Jie Yu1, Chunxia Yang1

  • 1Department of Epidemiology and Health Statistics, West China School of Public Health and West China Fourth Hospital, Sichuan University, Chengdu, Sichuan, 610041, China.

BMC Medical Research Methodology
|August 2, 2025
PubMed
Summary

Estimating average treatment effects in hierarchical data requires careful consideration of cluster characteristics to manage unmeasured confounders. Using cluster-mean stabilized weights or Bayesian additive regression trees (BART) improves estimation accuracy.

Keywords:
BART modelExtreme weightInverse probability weightMultilevel propensity score modelUnmeasured cluster-level confounder

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Area of Science:

  • Biostatistics
  • Epidemiology
  • Health Services Research

Background:

  • Hierarchical data with unmeasured cluster-level confounders present challenges for accurate average treatment effect (ATE) estimation.
  • Propensity score methods, including inverse probability weighting (IPW), are commonly used but can be sensitive to model misspecification and extreme weights.

Purpose of the Study:

  • To evaluate the impact of model misspecification, balance, and extreme weights on ATE estimation in hierarchical data with unmeasured cluster-level confounders.
  • To compare different strategies for constructing multilevel propensity score models and applying IPW.

Main Methods:

  • Simulated 48 hierarchical data scenarios with unmeasured cluster-level confounders.
  • Applied nine ATE estimation strategies using IPW with marginal stabilized weights and cluster-mean stabilized weights.
  • Handled extreme weights via truncation and applied models to HIV-TB co-infected patient data.

Main Results:

  • Bayesian additive regression trees (BART) with marginal propensity scores (BART-FE-Marginal) reduced extreme weights effectively.
  • Cluster-mean stabilized weights yielded smaller bias and RMSE compared to marginal stabilized weights when the positivity assumption was met.
  • TB treatment delay was identified as a risk factor for adverse treatment outcomes in HIV-TB co-infected patients.

Conclusions:

  • Accounting for cluster characteristics is crucial for controlling unmeasured cluster-level confounders in ATE estimation.
  • Recommends using BART for multilevel propensity score models or cluster-mean stabilized weights for improved accuracy.
  • Emphasizes the need for extreme weight handling when using marginal stabilized weights and highlights the importance of reducing weight variability and model misspecification.