Optimal Multilevel Matching in Clustered Observational Studies: A Case Study of the Effectiveness of Private Schools Under a Large-Scale Voucher System
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AI 根据所提供的论文材料归类：非随机群组处理下的协变量匹配与学校效果比较直接面向观察性因果研究，层级数据结构本身不等于面板数据。
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聚类观察研究中的最优多层匹配：智利教育券制度下私立学校效果案例
- 研究问题
- 当处理以非随机方式分配给群组时，如何同时匹配个体与群组，在两层协变量平衡约束下构造尽可能大的匹配样本？
- 方法与思路
- 作者先考虑所有个体匹配组合，再匹配群组，以动态规划和整数规划实现多层最优匹配，直接约束两层协变量平衡。
- 材料陈述的贡献
- 摘要称该策略扩展最优匹配到层级数据，可构造近似配对群组随机研究的匹配设计，并用于智利公私立教育券学校比较。
- 阅读关注点
- 应核对“先个体后群组”最优性的目标与条件、平衡约束和求解规模，以及学校案例的混杂控制、样本保留和敏感性分析。
- 阅读边界
- 仅依据稿件版本未注明的 OpenAlex 索引摘要。匹配平衡不能保证无未观测混杂；摘要未给出学校效果数值或完整因果识别条件。
原文摘要
A distinctive feature of a clustered observational study is its multilevel or nested data structure arising from the assignment of treatment, in a nonrandom manner, to groups or clusters of units or individuals. Examples are ubiquitous in the health and social sciences including patients in hospitals, employees in firms, and students in schools. What is the optimal matching strategy in a clustered observational study? At first thought, one might start by matching clusters of individuals and then, within matched clusters, continue by matching individuals. But as we discuss in this article, the optimal strategy is the opposite: in typical applications, where the intracluster correlation is not one, it is best to first match individuals and, once all possible combinations of matched individuals are known, then match clusters. In this article, we use dynamic and integer programming to implement this strategy and extend optimal matching methods to hierarchical and multilevel settings. Among other matched designs, our strategy can approximate a paired clustered randomized study by finding the largest sample of matched pairs of treated and control individuals within matched pairs of treated and control clusters that is balanced according to specifications given by the investigator. This strategy directly balances covariates both at the cluster and individual levels and does not require estimating the propensity score, although the propensity score can be balanced as an additional covariate. We illustrate our results with a case study of the comparative effectiveness of public versus private voucher schools in Chile, a question of intense policy debate in the country at the present.