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Using generalized doubly robust estimator to estimate average treatment effects of multiple treatments in observational studies

机译:在观测研究中使用广义双稳健估计器估算多种治疗的平均治疗效果

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The generalized doubly robust estimator is proposed for estimating the average treatment effect (ATE) of multiple treatments based on the generalized propensity score (GPS). In medical researches where observational studies are conducted, estimations of ATEs are usually biased since the covariate distributions could be unbalanced among treatments. To overcome this problem, Imbens [The role of the propensity score in estimating dose-response functions, Biometrika 87 (2000), pp. 706-710] and Feng et al. [Generalized propensity score for estimating the average treatment effect of multiple treatments, Stat. Med. (2011), in press. Available at: http://onlinelibrary.wiley.com/doi/10.1002/sim.4168/abstract] proposed weighted estimators that are extensions of a ratio estimator based on GPS to estimate ATEs with multiple treatments. However, the ratio estimator always produces a larger empirical sample variance than the doubly robust estimator, which estimates an ATE between two treatments based on the estimated propensity score (PS). We conduct a simulation study to compare the performance of our proposed estimator with Imbens' and Feng et ai's estimators, and simulation results show that our proposed estimator outperforms their estimators in terms of bias, empirical sample variance and mean-squared error of the estimated ATEs.
机译:提出了广义双稳健估计器,用于基于广义倾向评分(GPS)估计多种治疗的平均治疗效果(ATE)。在进行观察性研究的医学研究中,ATE的估计通常存在偏差,因为治疗之间的协变量分布可能不平衡。为了克服这个问题,Imbens [倾向得分在估计剂量反应功能中的作用,Biometrika 87(2000),第706-710页]和Feng等。 [用于评估多次治疗的平均治疗效果的广义倾向评分,Stat。中(2011),印刷中。可在以下网址获得:http://onlinelibrary.wiley.com/doi/10.1002/sim.4168/abstract]提出了加权估计量,该加权估计量是基于GPS的比率估计量的扩展,用于估计多次治疗的ATE。但是,比率估计器始终比双重鲁棒估计器产生更大的经验样本方差,后者基于估计的倾向得分(PS)估计两次处理之间的ATE。我们进行了一项仿真研究,以将我们提出的估算器与Imbens和Feng et al的估算器的性能进行比较,仿真结果表明,我们提出的估算器在估算的ATE的偏差,经验样本方差和均方误差方面优于其估算器。

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