Efficient balanced sampling:: The cube method
Efficient balanced sampling:: The cube method
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DOI：
10.1093/biomet/91.4.893
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发表时间：
2004-12-01
期刊：
影响因子：
2.7
通讯作者：
Tillé, Y
中科院分区：
文献类型：
--
作者：
Deville, JC;Tillé, Y
平衡抽样设计的定义是，一组辅助变量的总体的Horvitz-Thompson估计量等于这些变量的已知总数。因此，根据这些变量与受控变量的相关性，所有感兴趣的变量的总估计量的方差被减小。在本文中，我们开发了一种称为立方体方法的一般方法，用于选择具有相等或不等包含概率和任意数量的辅助变量的近似平衡样本。
A balanced sampling design is defined by the property that the Horvitz-Thompson estimators of the population totals of a set of auxiliary variables equal the known totals of these variables. Therefore the variances of estimators of totals of all the variables of interest are reduced, depending on the correlations of these variables with the controlled variables. In this paper, we develop a general method, called the cube method, for selecting approximately balanced samples with equal or unequal inclusion probabilities and any number of auxiliary variables.