Difference-in-Differences with Multiple Events

Lin-Tung Tsai
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Abstract

Confounding events with correlated timing violate the parallel trends assumption in Difference-in-Differences (DiD) designs. I show that the standard staggered DiD estimator is biased in the presence of confounding events. Identification can be achieved with units not yet treated by either event as controls and a double DiD design using variation in treatment timing. I apply this method to examine the effect of states' staggered minimum wage raise on teen employment from 2010 to 2020. The Medicaid expansion under the ACA confounded the raises, leading to a spurious negative estimate.
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多事件差分法
时间相关的混杂事件违反了差分(DiD)设计中的平行趋势假设。我的研究表明,在存在混杂事件的情况下,标准的交错差分估计法是有偏差的。通过使用尚未被任何一个事件处理过的单位作为对照,以及使用处理时间变化的双重差分设计,可以实现识别。我运用这种方法考察了 2010 年至 2020 年各州交错提高最低工资对 15 个就业岗位的影响。ACA 下的医疗补助扩展对加薪产生了影响,导致了一个虚假的负估计值。
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