Difference‐in‐Differences With a Misclassified Treatment
研究在双重差分设计中,当观测到的处理状态存在单侧误分类(如漏报或错配)时,如何识别和估计潜在受处理子群体的平均处理效应,并基于印度两个全国性项目的数据进行实证分析。
ABSTRACT This paper studies identification and estimation of the average treatment effect of a latent treated subpopulation in difference‐in‐difference designs when the observed treatment is differentially (or endogenously) mismeasured for the truth. Common examples include misreporting and mistargeting. We propose a two‐step estimator that corrects for the empirically common phenomenon of one‐sided misclassification in the treatment status. The solution uses a single exclusion restriction embedded in a partial observability probit to point identify the latent parameter. We demonstrate the method by revisiting two large‐scale national programs in India: one where pension benefits are underreported and second where the program is mistargeted.