鲁棒对应分析

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Marco Riani, Anthony C. Atkinson, Francesca Torti, Aldo Corbellini
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引用次数: 3

摘要

对应分析是一种直观显示双向列联表信息的方法。我们介绍了一种基于最小协方差行列式估计的稳健的对应分析形式。这导致系统地删除了表格的外围行,并大大增加了信息量。我们的例子是服装的贸易流动和消费者对汽车感知特性的评估。鲁棒方法要求在拟合中使用一定比例的数据。为了满足这一需求,我们提供了一种算法,该算法使用完整行的子集和部分行的子集,这两组行都被健壮地选择。证明了该算法的收敛性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Robust correspondence analysis

Robust correspondence analysis

Correspondence analysis is a method for the visual display of information from two-way contingency tables. We introduce a robust form of correspondence analysis based on minimum covariance determinant estimation. This leads to the systematic deletion of outlying rows of the table and to plots of greatly increased informativeness. Our examples are trade flows of clothes and consumer evaluations of the perceived properties of cars. The robust method requires that a specified proportion of the data be used in fitting. To accommodate this requirement we provide an algorithm that uses a subset of complete rows and one row partially, both sets of rows being chosen robustly. We prove the convergence of this algorithm.

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来源期刊
Accounts of Chemical Research
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.
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