Quantile Treatment Effects in Difference in Differences Models Under Dependence Restrictions and with Only Two Time Periods

@article{Callaway2018QuantileTE,
  title={Quantile Treatment Effects in Difference in Differences Models Under Dependence Restrictions and with Only Two Time Periods},
  author={Brantly Callaway and Tong Li and Tatsushi Oka},
  journal={ERN: Cross-Sectional Models},
  year={2018}
}
This paper shows that the Conditional Quantile Treatment Effect on the Treated is identified under (i) a Conditional Distributional Difference in Differences assumption and (ii) a new assumption that the dependence (the copula) between the change in untreated potential outcomes and the initial level of untreated potential outcomes is the same for the treated group and untreated group. We consider estimation and inference with discrete covariates and propose a uniform inference procedure based… 

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