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When Should You Adjust Standard Errors for Clustering?

机译:您应该何时调整群集的标准错误?

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摘要

In empirical work in economics it is common to report standard errors thataccount for clustering of units. Typically, the motivation given for theclustering adjustments is that unobserved components in outcomes for unitswithin clusters are correlated. However, because correlation may occur acrossmore than one dimension, this motivation makes it difficult to justify whyresearchers use clustering in some dimensions, such as geographic, but notothers, such as age cohorts or gender. It also makes it difficult to explainwhy one should not cluster with data from a randomized experiment. In thispaper, we argue that clustering is in essence a design problem, either asampling design or an experimental design issue. It is a sampling design issueif sampling follows a two stage process where in the first stage, a subset ofclusters were sampled randomly from a population of clusters, while in thesecond stage, units were sampled randomly from the sampled clusters. In thiscase the clustering adjustment is justified by the fact that there are clustersin the population that we do not see in the sample. Clustering is anexperimental design issue if the assignment is correlated within the clusters.We take the view that this second perspective best fits the typical setting ineconomics where clustering adjustments are used. This perspective allows us toshed new light on three questions: (i) when should one adjust the standarderrors for clustering, (ii) when is the conventional adjustment for clusteringappropriate, and (iii) when does the conventional adjustment of the standarderrors matter.
机译:在经济学的经验工作中,通常会报告导致单位聚集的标准误差。通常,进行聚类调整的动机是,聚类内单位的结果中未观察到的成分相互关联。但是,由于相关性可能跨越一个以上的维度,因此这种动机很难证明为什么研究人员在某些维度(例如地理区域)使用聚类,而在其他方面(例如年龄组或性别)则使用聚类。这也使得很难解释为什么不应该将随机实验的数据聚类。在本文中,我们认为聚类本质上是一个设计问题,无论是抽样设计还是实验设计问题。如果抽样遵循两个阶段的过程,这是一个抽样设计问题,其中在第一阶段,从集群群中随机抽取一个集群子集,而在第二阶段,从抽样集群中随机抽取单位。在这种情况下,聚类调整由以下事实证明是正确的:样本中没有我们看到的总体中存在聚类。如果分配在聚类中相关,则聚类是一个实验设计问题。我们认为,第二个观点最适合使用聚类调整的经济学典型设置。这种观点使我们可以从三个问题上崭露头角:(i)何时应该调整聚类的标准误差;(ii)何时适合聚类的常规调整;以及(iii)何时对标准误差进行常规调整才重要。

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