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Cost efficiency of repeated cluster surveys

机译：重复集群调查的成本效率

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摘要

We analyze the statistical and economic efficiency of different designs of cluster surveys collected in two consecutive time periods, or waves. In an independent design, two cluster samples in two waves are taken independently from one another. In a cluster-panel design, the same clusters are used in both waves, but samples within clusters are taken independently in two time periods. In an observation-panel design, both clusters and observations are retained from one wave of data collection to another. By assuming a simple population structure, we derive design variances and costs of the surveys conducted according to these designs. We first consider a situation in which the interest lies in estimation of the change in the population mean between two time periods, and derive the optimal sample allocations for the three designs of interest. We then propose the utility maximization framework borrowed from microeconomics to illustrate a possible approach to the choice of the design that strives to optimize several variances simultaneously. Incorporating the contemporaneous means and their variances tends to shift the preferences from observation-panel towards simpler panel-cluster and independent designs if the panel mode of data collection is too expensive. We present numeric illustrations demonstrating how a survey designer may want to choose the efficient design given the population parameters and data collection cost.
机译：我们分析了在两个连续的时间段或波浪中收集的不同群集调查设计的统计和经济效率。在独立设计中，两个波中的两个簇样本彼此独立地获取。在群集面板设计中，两个波使用相同的群集，但是群集中的样本在两个时间段内独立获取。在观察面板设计中，从一次数据收集到另一次数据收集都保留了聚类和观察结果。通过假设简单的总体结构，我们得出设计差异和根据这些设计进行的调查的成本。我们首先考虑一种情况，其中关注点在于估计两个时间段之间总体均值的变化，然后得出三种关注设计的最优样本分配。然后，我们提出从微观经济学中借用的效用最大化框架，以说明一种可同时优化多个方差的设计选择方法。如果数据收集的面板模式过于昂贵，则将同期工具及其方差合并到一起，会使偏好从观察面板转向更简单的面板集群和独立设计。我们提供了数字插图，说明了在总体参数和数据收集成本给定的情况下，调查设计人员可能希望如何选择有效的设计。

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