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Matching on Generalized Propensity Scores with Continuous Exposures.

Xiao Wu1, Fabrizia Mealli2,3, Marianthi-Anna Kioumourtzoglou4

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|March 25, 2024
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We developed a new matching method for continuous exposures, improving causal inference. This approach found long-term PM2.5 exposure significantly increases all-cause mortality risk.

Keywords:
Causal InferenceContinuous TreatmentCovariate BalanceNon-parametricObservational Study

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Area of Science:

  • Causal inference
  • Epidemiology
  • Biostatistics

Background:

  • Matching is established for binary treatments but underdeveloped for continuous exposures.
  • Continuous exposure analysis requires robust causal inference methods.

Purpose of the Study:

  • To propose an innovative matching approach for estimating average causal exposure-response functions with continuous exposures.
  • To address limitations of existing methods in handling model misspecification and extreme propensity score values.

Main Methods:

  • Utilized the generalized propensity score (GPS) for matching in continuous exposure settings.
  • Introduced the 'local weak unconfoundedness' assumption for theoretical guarantees.
  • Developed a method with features like design-analysis separation, robustness, and covariate balance assessment.

Main Results:

  • The proposed matching estimator demonstrated point-wise consistency and asymptotic normality under stated assumptions.
  • Simulations showed superior performance compared to existing methods, especially with model misspecification or extreme GPS values.
  • Application to Medicare data revealed a significant harmful effect of long-term PM2.5 exposure on all-cause mortality.

Conclusions:

  • The novel GPS-based matching approach effectively estimates causal exposure-response functions for continuous exposures.
  • The method offers theoretical guarantees and practical advantages, outperforming existing techniques.
  • Confirmed a substantial link between long-term PM2.5 exposure and increased mortality risk in a large population study.