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AI 根据所提供的论文材料归类:摘要明确以观察性数据中的多变量处理效应和混杂变量筛选为目标,直接属于因果推断方向。

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关注这篇论文的作者
Juan Chen
Yingchun Zhou

多变量处理因果效应估计中的高维协变量选择新策略

研究问题
在高维乃至超高维处理前协变量下,如何为多变量处理效应估计选择混杂因素和结果预测变量,以控制偏差并改善效率?
方法与思路
作者提出 DSPAL,将双重筛选获得的边际条件独立或依赖先验信息与 adaptive lasso 结合,适用于不同结果模型。
材料陈述的贡献
摘要称方法具有确定筛选、排序一致性与变量选择一致性,并在所考察模拟中较若干替代方法降低偏差和均方误差。
阅读关注点
应核对筛选与惩罚步骤、上述一致性结论的条件,以及变量选择如何衔接三维连续处理的因果效应识别与估计。
阅读边界
所给为 arXiv 预印本,不能据此确认同行评审或期刊接收;摘要未说明识别假设、维度增长限制或比较结果数值。

原文摘要

Selection of covariates is crucial in the estimation of average treatment effects given observational data with high or even ultra-high dimensional pretreatment variables. Existing methods for this problem typically assume sparse linear models for both outcome and univariate treatment, and cannot handle situations with ultra-high dimensional covariates. In this paper, we propose a new covariate selection strategy called double screening prior adaptive lasso (DSPAL) to select confounders and predictors of the outcome for multivariate treatments, which combines the adaptive lasso method with the marginal conditional (in)dependence prior information to select target covariates, in order to eliminate confounding bias and improve statistical efficiency. The distinctive features of our proposal are that it can be applied to high-dimensional or even ultra-high dimensional covariates for multivariate treatments, and can deal with the cases of both parametric and nonparametric outcome models, which makes it more robust compared to other methods. Our theoretical analyses show that the proposed procedure enjoys the sure screening property, the ranking consistency property and the variable selection consistency. Through a simulation study, we demonstrate that the proposed approach selects all confounders and predictors consistently and estimates the multivariate treatment effects with smaller bias and mean squared error compared to several alternatives under various scenarios. In real data analysis, the method is applied to estimate the causal effect of a three-dimensional continuous environmental treatment on cholesterol level and enlightening results are obtained.

笔记与分组
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