Identification and inference in nonlinear difference-in-differences models

• 成果类型: Article
• 署名作者: Athey, S; Imbens, GW
• 署名单位: Stanford University; National Bureau of Economic Research; University of California System; University of California Berkeley; University of California System; University of California Berkeley
• 刊物名称: ECONOMETRICA
• ISSN/ISSBN: 0012-9682
• DOI: 10.1111/j.1468-0262.2006.00668.x
• 发表日期: 2006
• 页码: 431-497
• 关键词: propensity score; IMPACT; POLICY; INFORMATION; variables; earnings; returns; blacks

摘要

This paper develops a generalization of the widely used difference-in-differences method for evaluating the effects of policy changes. We propose a model that allows the control and treatment groups to have different average benefits from the treatment. The assumptions of the proposed model are invariant to the scaling of the Outcome. We provide conditions under which the model is nonparametrically identified and propose an estimator that can be applied using either repeated cross section or panel data. Our approach provides an estimate of the entire counterfactual distribution of outcomes that would have been experienced by the treatment group in the absence of the treatment and likewise for the untreated group in the presence of the treatment. Thus, it enables the evaluation of policy interventions according to criteria such as a mean-variance trade-off. We also propose methods for inference, showing that our estimator for the average treatment effect is root-N consistent and asymptotically normal. We consider extensions to allow for covariates, discrete dependent variables, and multiple groups and time periods.