A note on trigonometric regression in the presence of Berkson‐type measurement error

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-05 DOI:10.1111/stan.12344

Michael T. Gorczyca, Tavish M. McDonald, Justice D. Sefas

引用次数: 0

Abstract

In this note, we study how parameter vector estimation for a trigonometric regression model and the expected squared residual error computed from an estimated model are affected by Berkson‐type measurement error. Closed‐form expressions for the parameter vector and the expected squared residual error are obtained by assuming that the observed covariate data are sampled from an equispaced design and that measurement error is generated from a symmetric probability distribution with a mean of zero. Notably, these results indicate that estimates of the amplitude parameters for a trigonometric regression model suffer from attenuation bias when covariate data are mis‐measured, and that estimates of the phase‐shift parameters are unbiased.

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关于存在伯克森式测量误差的三角回归的说明

在本论文中，我们将研究三角回归模型的参数向量估计和根据估计模型计算的期望残差平方误差如何受到伯克森型测量误差的影响。假设观测协变量数据是从等距设计中采样的，且测量误差产生于均值为零的对称概率分布，则可得到参数向量和预期残差平方误差的闭式表达式。值得注意的是，这些结果表明，当协变量数据测量错误时，三角回归模型的振幅参数估计会出现衰减偏差，而相移参数的估计值是无偏的。

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.