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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.