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分类依据与纠错

AI 根据所提供的论文材料归类:摘要聚焦调查抽样中的稳健降权与偏差方差权衡,未直接对应所列领域细分。

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代码、数据与补充材料

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关注这篇论文的作者
Alan M Zaslavsky
Nathaniel Schenker
Thomas R Belin

调查中高影响群组的降权处理

研究问题
当少数调查群组对估计及其方差影响过大时,如何预先规定客观的降权规则,并评估稳健处理引入的偏差?
方法与思路
作者对群组经验影响量应用 M 估计确定降权程度,在人口覆盖调查中用泰勒线性化估计影响,并采用 t 分布及 Huber 方法。
材料陈述的贡献
摘要称稳健处理在所用数据中比权重截断更能降低估计方差,且降低估计均方误差,同时指出影响分布不对称可能引入偏差。
阅读关注点
应核对群组影响量与降权规则的构造、调查设计如何进入估计,以及不对称情形下偏差和均方误差的评估方式。
阅读边界
仅据 OpenAlex 索引摘要,稿件版本未注明;所述改善来自特定调查数据,摘要未给数值或普遍保证,不能外推。

原文摘要

Certain clusters may be extremely influential on survey estimates and consequently contribute disproportionately to their variance. We propose a general approach to estimation that downweights highly influential clusters, with the amount of downweighting based on M-estimation applied to the empirical influence of the clusters. The method is motivated by a problem in census coverage estimation, and we illustrate it by using data from the 1990 Post Enumeration Survey (PES). In this context, an objective, prespecified methodology for handling influential observations is essential to avoid having to justify judgmental post hoc adjustment of weights. In 1990, both extreme weights and large errors in the census led to extreme influence. We estimated influence by Taylor linearization of the survey estimator, and we applied M-estimators based on the t distribution and the Huber ψ-function. As predicted by theory, the robust procedures greatly reduced the estimated variance of estimated coverage rates, more so than did truncation of weights. On the other hand, the procedure may introduce bias into survey estimates when the distributions of the influence statistics are asymmetric. We consider the properties of the estimators in the presence of asymmetry, and we demonstrate techniques for assessing the bias-variance trade-off, finding that estimated mean squared error is reduced by applying the robust procedure to our dataset. We also suggest PES design improvements to reduce the impact of influential clusters.

笔记与分组
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