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基于随机等待名单分配的处理效应估计

Estimating the Effect of Treatments Allocated by Randomized Waiting Lists
Econometrica · 2020 · Clément de Chaisemartin、Luc Behaghel

中文摘要

超额认购的处理通常使用随机等待名单进行分配。申请者被随机排序,处理邀约按照该排序依次发放,直到所有名额填满。为了估计因果效应,研究人员通常比较获得和未获得邀约的申请者。我们表明,这两组在统计上不可比。因此,当等待名单数量趋向无穷时,由该比较产生的估计量是非一致的。我们提出了一种新估计量,并证明只要等待名单至少有两个名额,该估计量即是一致的。最后,我们重新考察了一项应用,并表明使用我们的估计量能够导致与使用常用估计量所得结果之间存在统计显著的差异。

Abstract

Oversubscribed treatments are often allocated using randomized waiting lists. Applicants are ranked randomly, and treatment offers are made following that ranking until all seats are filled. To estimate causal effects, researchers often compare applicants getting and not getting an offer. We show that those two groups are not statistically comparable. Therefore, the estimator arising from that comparison is inconsistent when the number of waitlists goes to infinity. We propose a new estimator, and show that it is consistent, provided the waitlists have at least two seats. Finally, we revisit an application, and we show that using our estimator can lead to a statistically significant difference with respect to the results obtained using the commonly used estimator.
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