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Causal inference under multiple versions of treatment

机译:多种处理方式下的因果推论

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摘要

In this article we discuss the no-multiple-versions-of-treatment assumption and extend the potential outcomes framework to accommodate causal inference under violations of this assumption. A variety of examples are discussed in which the assumption may be violated. Identification results are provided for the overall treatment effect and the effect of treatment on the treated when multiple versions of treatment are present and also for the causal effect comparing a version of one treatment to some other version of the same or a different treatment. Further identification and interpretative results are given for cases in which a treatment variable is dichotomized to create a new treatment variable for which there are effectively u22multiple versionsu22 and also for effects defined by setting the version of treatment to a prespecified distribution. Some of the identification results bear resemblance to identification results in the literature on direct and indirect effects. We describe some settings in which ignoring multiple versions of treatment, even when present, will not lead to incorrect inferences.
机译:在本文中,我们讨论了无多重治疗假设,并扩展了潜在结果框架,以适应违反该假设的因果推理。讨论了可能违反该假设的各种示例。提供鉴定结果,以提供总体治疗效果以及当存在多种治疗方案时治疗对被治疗者的效果,还提供将一种治疗方案的版本与相同或不同治疗方案的其他版本进行比较的因果效果。对于将治疗变量二分以创建新的治疗变量的情况,将给出进一步的鉴定和解释性结果,对于该变量有效地存在多个版本,并且通过将治疗版本设置为预先指定的分布来定义效果。某些鉴定结果与文献中有关直接和间接作用的鉴定结果相似。我们描述了一些设置,即使忽略多个设置,也不会导致错误的推断。

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