TY - JOUR
T1 - On the estimation of average treatment effects with right-censored time to event outcome and competing risks
AU - Ozenne, Brice Maxime Hugues
AU - Scheike, Thomas Harder
AU - Staerk, Laila
AU - Gerds, Thomas Alexander
N1 - © 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
PY - 2020/5
Y1 - 2020/5
N2 - We are interested in the estimation of average treatment effects based on right-censored data of an observational study. We focus on causal inference of differences between t-year absolute event risks in a situation with competing risks. We derive doubly robust estimation equations and implement estimators for the nuisance parameters based on working regression models for the outcome, censoring, and treatment distribution conditional on auxiliary baseline covariates. We use the functional delta method to show that these estimators are regular asymptotically linear estimators and estimate their variances based on estimates of their influence functions. In empirical studies, we assess the robustness of the estimators and the coverage of confidence intervals. The methods are further illustrated using data from a Danish registry study.
AB - We are interested in the estimation of average treatment effects based on right-censored data of an observational study. We focus on causal inference of differences between t-year absolute event risks in a situation with competing risks. We derive doubly robust estimation equations and implement estimators for the nuisance parameters based on working regression models for the outcome, censoring, and treatment distribution conditional on auxiliary baseline covariates. We use the functional delta method to show that these estimators are regular asymptotically linear estimators and estimate their variances based on estimates of their influence functions. In empirical studies, we assess the robustness of the estimators and the coverage of confidence intervals. The methods are further illustrated using data from a Danish registry study.
KW - Cox regression model
KW - hazard ratio
KW - probabilistic index
KW - relative risk
KW - survival analysis
UR - http://www.scopus.com/inward/record.url?scp=85079398403&partnerID=8YFLogxK
U2 - 10.1002/bimj.201800298
DO - 10.1002/bimj.201800298
M3 - Journal article
C2 - 32049385
SN - 0323-3847
VL - 62
SP - 751
EP - 763
JO - Biometrical journal. Biometrische Zeitschrift
JF - Biometrical journal. Biometrische Zeitschrift
IS - 3
ER -