Causal decomposition has provided a powerful tool to analyze health disparity problems, by assessing the proportion of disparity caused by each mediator. However, most of these methods lack \emph{policy implications}, as they fail to account for all sources of disparities caused by the mediator. Besides, their estimations \emph{pre-specified} some covariates set (\emph{a.k.a}, admissible set) for the strong ignorability condition to hold, which can be problematic as some variables in this set may induce new spurious features. To resolve these issues, under the framework of the structural causal model, we propose to decompose the total effect into adjusted and unadjusted effects, with the former being able to include all types of disparity by adjusting each mediator's distribution from the disadvantaged group to the advantaged ones. Besides, equipped with maximal ancestral graph and context variables, we can automatically identify the admissible set, followed by an efficient algorithm for estimation. Theoretical correctness and the efficacy of our method are demonstrated on a synthetic dataset and a spine disease dataset.
翻译:原因分解为分析健康差异问题提供了强有力的工具,评估了每个调解人造成的差异比例,从而提供了分析健康差异问题的有力工具。然而,大多数这些方法都缺乏 emph{policy implementation, 因为它们没有考虑到调解人造成差异的所有来源。 此外,它们的估算值 \ emph{pre- leaty} 也有一些可受理的共变数组(\ emph{a.k.a}, 可受理的设定), 以保持强烈的可忽略性条件(\ emph{a.a}), 这组中的某些变量可能会引起问题, 因为这组中的某些变量可能会产生新的虚假特征。 为了解决这些问题, 在结构性因果模型的框架内, 我们提议将总效果分解为调整过和未调整过的影响, 前者能够通过调整每个调解人从处境不利群体到优势群体的分布来包括所有类型的差异。 此外,我们可以用最先进的祖先图表和上下文变量自动识别可接受的数据集, 并随后采用有效的算法。理论正确性和我们方法的有效性在合成数据集和脊椎疾病数据集上展示。