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Treatment Effect Estimation Under Additive Hazards Models With High-Dimensional Confounding

Author

Listed:
  • Jue Hou
  • Jelena Bradic
  • Ronghui Xu

Abstract

Estimating treatment effects for survival outcomes in the high-dimensional setting is critical for many biomedical applications and any application with censored observations. This article establishes an “orthogonal” score for learning treatment effects, using observational data with a potentially large number of confounders. The estimator allows for root-n, asymptotically valid confidence intervals, despite the bias induced by the regularization. Moreover, we develop a novel hazard difference (HDi), estimator. We establish rate double robustness through the cross-fitting formulation. Numerical experiments illustrate the finite sample performance, where we observe that the cross-fitted HDi estimator has the best performance. We study the radical prostatectomy’s effect on conservative prostate cancer management through the SEER-Medicare linked data. Last, we provide an extension to machine learning both approaches and heterogeneous treatment effects. Supplementary materials for this article are available online.

Suggested Citation

  • Jue Hou & Jelena Bradic & Ronghui Xu, 2023. "Treatment Effect Estimation Under Additive Hazards Models With High-Dimensional Confounding," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 118(541), pages 327-342, January.
  • Handle: RePEc:taf:jnlasa:v:118:y:2023:i:541:p:327-342
    DOI: 10.1080/01621459.2021.1930546
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