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Updated: May 12, 2026

Inverse Probability of Treatment Weighting (Propensity Score) using the Military Health System Data Repository and National Death Index
Published on: January 8, 2020
Outcome-Assisted Multiple Imputation of Missing Treatments
Joseph Feldman1, Jerome P Reiter2
1Statistics and Data Science Washington University in St. Louis.
This study introduces outcome-assisted multiple imputation for missing treatment data in observational research. This method improves statistical inference by using outcome information during imputation, reducing bias in treatment effect estimation.
Area of Science:
- Epidemiology
- Biostatistics
- Observational Studies
Background:
- Missing treatment data is common in observational studies.
- Standard imputation methods may not adequately address bias.
- Propensity scores alone may be insufficient for accurate imputation.
Purpose of the Study:
- To provide guidance on multiple imputation for missing treatments.
- To develop an improved imputation method accounting for covariates and outcomes.
- To reduce bias in estimating average treatment effects.
Main Methods:
- Developed outcome-assisted multiple imputation (OAMI).
- Fit outcome regression models to sharpen treatment imputation probabilities.
- Used propensity score models for imputation.
- Derived bias expressions for inverse probability weighted estimators.
Main Results:
- OAMI theoretically reduces bias in average treatment effect estimation.
- Simulations show OAMI offers superior inferential properties compared to using only treatment assignment models.
- Empirical evidence supports the effectiveness of OAMI.
Conclusions:
- Outcome-assisted multiple imputation is a recommended approach for missing treatments in observational studies.
- This method enhances the reliability of causal inference from observational data.
- The procedure was successfully illustrated using real-world data.
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