Risk-Set Transported Synthetic Control with Difference-in-Differences Adjustment under Staggered Treatment Adoption
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交错处理采纳下结合双重差分调整的风险集传输合成控制
- 研究问题
- 交错处理采纳使可用供体随事件时间减少时，如何利用短期仍合格的供体，同时避免逐期重估合成控制权重导致反事实不稳定？
- 方法与思路
- 作者逐期使用尚未处理的供体，并将权重收缩到退出供体权重重新分配后的参考值，再用双重差分校正持续水平差异。
- 材料陈述的贡献
- 摘要称，方法刻画重优化与删除供体的失真，提供条件递归误差界、供体诊断和惩罚选择程序；先导模拟支持中等正则化。
- 阅读关注点
- 应核对权重传输规则、因果识别条件、递归界依赖的正则条件，以及供体支持诊断、安慰剂调参与模拟比较的可靠性。
- 阅读边界
- 这是预印本，同行评审及期刊接收未核实。误差界依赖明确假定的传输正则条件，有限先导模拟不能证明方法普遍改善。
原文摘要
In staggered treatment-adoption designs, later-treated units are valid controls for an earlier-treated cohort only until their own treatment begins, so the admissible donor set contracts with event time. Fixing the donor pool at the longest horizon discards temporarily eligible donors, whereas re-estimating synthetic-control weights independently at each horizon can make the counterfactual unstable as donor composition changes. We propose Risk-Set Transported Synthetic Control with Difference-in-Differences Adjustment (RT-SC-DiD). For each cohort and event-time horizon, the estimator fits weights on the currently untreated donors while shrinking them toward a transported reference that reallocates the weight of exiting donors to similar surviving donors. A DiD baseline correction removes persistent level differences. We characterize distortion from horizon-by-horizon reoptimization, derive the loading change induced by naive deletion and renormalization, and give a conditional recursive bound for error propagation under an explicitly assumed regularity condition on the transport map. We also introduce donor-support diagnostics and a donor-only placebo procedure for selecting the transport penalty. In an 80-replication pilot comparison and a separate 40-replication-per-value sensitivity analysis, intermediate transport regularization reduces average RMSE relative to independent horizon-specific estimation and strong anchoring. This evidence supports the method's bias-variance motivation but is not a proved guarantee. RT-SC-DiD is intended for settings where later-treated units provide useful short-horizon information and donor support contracts materially over time. Existing staggered synthetic-control and synthetic difference-in-differences methods do not, to our knowledge, explicitly regularize within-cohort weight sequences toward transported references as risk sets contract.