31.1 Key Concepts

  • Quantile Treatment Effect on the Treated (QTT):
    • Measures the difference in quantiles of the potential outcome distributions for treated units.
  • Rank Preservation:
    • Assumes that the rank of an individual remains unchanged across different potential outcome distributions.
    • This is a strong assumption and should be considered carefully in empirical applications.
  • Counterfactual Distribution:
    • The main estimation challenge in CiC is constructing the counterfactual distribution of outcomes for treated units in period 1.