统计研究 ›› 0, Vol. ›› Issue (): 116-128.doi: 10.19343/j.cnki.11-1302/c.2018.08.011

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处置效应模型设定的稳健性评估

马 键等   

  • 出版日期:2018-08-02 发布日期:2018-08-02

A Robustness Evaluation Method for Treatment Effect Estimation

Ma Jian et al   

  • Online:2018-08-02 Published:2018-08-02

摘要: 对基于非实验数据的处置效应研究,模型设定的稳健性关系到研究可信性。本文基于子集分割思想,构建模型误设标准误差,即MMSE。特定情形下,本文证明正确设定的模型中MMSE与标准误差之比依概率收敛于0。蒙特卡洛实验表明,分割点选择不影响其渐近性质,但影响有限样本表现,模型误设程度会影响比值的收敛性。将MMSE应用于实际案例的分析,发现它可以比较有效地识别有欠稳健的模型。

关键词: 处置效应, 模型设定, 可信性, 子集分割

Abstract: In treatment effect studies for observational data, the robustness of model specification is a keystone for credibility. This paper constructs the Model Misspecification Standard Error (MMSE) basing on sample splitting. In certain situation, it shows that if the model setting is correct, the ratio of MMSE and SE converges to zero in probability. Monte Carlo experiments show that, the choice of splitting point does not influence MMSE’s asymptotic properties, but it will influence its finite sample behavior. Furthermore, the extent of misspecification will influence the convergence of the ratio. Applying MMSE to a case study, it finds that it could efficiently identify model misspecification.

Key words: Treatment Effect, Model Specification, Credibility, Sample Splitting