论文标题
敏感性分析，用于在违规治疗的存在下构建最佳状态
Sensitivity analysis for constructing optimal regimes in the presence of treatment non-compliance
论文作者
论文摘要
目前关于制定最佳治疗策略的研究通常将重点放在意图对治疗分析上，这些分析未能考虑到个人的合规行为。已经开发了基于仪器变量的方法来确定内生性存在的最佳治疗策略。但是，当有两个主动治疗方案时，这些现有方法不适用，并且无法使用二元仪器确定治疗的平均因果作用。为了解决此限制，我们提出了一个程序，可以识别最佳的治疗策略，并相应的值函数函数是灵敏度参数向量的函数。此外，我们得出了目标参数的规范梯度，并为最佳治疗策略提出了一个基于强大的分类估计量。通过模拟，我们证明了我们提出的方法的实际需求和实用性。我们将方法应用于对酒精和可卡因依赖性自适应治疗的随机试验。
The current body of research on developing optimal treatment strategies often places emphasis on intention-to-treat analyses, which fail to take into account the compliance behavior of individuals. Methods based on instrumental variables have been developed to determine optimal treatment strategies in the presence of endogeneity. However, these existing methods are not applicable when there are two active treatment options and the average causal effects of the treatments cannot be identified using a binary instrument. In order to address this limitation, we present a procedure that can identify an optimal treatment strategy and the corresponding value function as a function of a vector of sensitivity parameters. Additionally, we derive the canonical gradient of the target parameter and propose a multiply robust classification-based estimator for the optimal treatment strategy. Through simulations, we demonstrate the practical need for and usefulness of our proposed method. We apply our method to a randomized trial on Adaptive Treatment for Alcohol and Cocaine Dependence.
