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An assessment of accuracy improvement by adaptive survey design

机译：自适应调查设计准确改进评估

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摘要

High nonresponse occurs in many sample surveys today, including important surveys carried out by government statistical agencies. An adaptive data collection can be advantageous in those conditions: Lower nonresponse bias in survey estimates can be gained, up to a point, by producing a well-balanced set of respondents. Auxiliary variables serve a twofold purpose: Used in the estimation phase, through calibrated adjustment weighting, they reduce, but do not entirely remove, the bias. In the preceding adaptive data collection phase, auxiliary variables also play a major role: They are instrumental in reducing the imbalance in the ultimate set of respondents. For such combined use of auxiliary variables, the deviation of the calibrated estimate from the unbiased estimate (under full response) is studied in the article. We show that this deviation is a sum of two components. The reducible component can be decreased through adaptive data collection, all the way to zero if perfectly balanced response is realized with respect to a chosen auxiliary vector. By contrast, the resisting component changes little or not at all by a better balanced response; it represents a part of the deviation that adaptive design does not get rid of The relative size of the former component is an indicator of the potential payoff from an adaptive survey design.
机译：今天在许多样本调查中发生高的非响应，包括政府统计机构进行的重要调查。在这些条件下，自适应数据收集可能是有利的：通过产生良好的一组受访者，可以获得调查估计中的下部非响应偏差。辅助变量为双重用途提供：在估计阶段使用，通过校准调整加权，它们减少，但不完全删除，偏差。在前面的自适应数据收集阶段，辅助变量也发挥了重要作用：它们是减少最终受访者集中的不平衡的工具。为了这种辅助变量的这种组合使用，在制品中研究了来自无偏估计（在完全反应下的估计）的校准估计的偏差。我们表明该偏差是两个组件的总和。如果相对于所选择的辅助矢量实现完全平衡的响应，则可以通过自适应数据收集来降低可还原组分。相比之下，抗蚀剂组件通过更好的平衡响应变化或根本不完全变化;它代表了偏差的一部分，即自适应设计不会摆脱前部件的相对大小是来自自适应测量设计的潜在收益的指标。

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