A note on convergence of calibration weights to inverse probability weights

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-20 DOI:10.1111/stan.12356

Tadayoshi Fushiki

引用次数: 0

Abstract

Recently, nonresponse rates in sample surveys have been increasing. Nonresponse bias is a serious concern in the analysis of sample surveys. The calibration and propensity score methods are used to adjust nonresponse bias. The propensity score method uses the weights of the inverse probability of response. The inverse probability of response is estimated by the auxiliary variables observed in respondents and nonrespondents. The calibration method can use additional auxiliary variables observed only in respondents if the population distributions of the variables are known. The calibration method is widely used; however, the theoretical property in the nonresponse situation has not been investigated. This study provides a condition that the calibration weights asymptotically go to the inverse probability of response and clarifies the relationship between the calibration and propensity score methods.

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关于校准权重向逆概率权重收敛的说明

近来，抽样调查中的无应答率不断上升。非响应偏差是抽样调查分析中的一个严重问题。校准法和倾向得分法可用于调整非响应偏差。倾向得分法使用响应的反概率权重。反向响应概率是通过在受访者和非受访者中观察到的辅助变量估算得出的。如果变量的总体分布已知，校准法可使用仅在受访者中观察到的额外辅助变量。校准法得到了广泛应用，但其在非响应情况下的理论属性尚未得到研究。本研究提供了一个条件，即校准权重近似于响应概率的倒数，并阐明了校准法与倾向得分法之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.