Quantile-based MANOVA: A new tool for inferring multivariate data in factorial designs

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-27 DOI:10.1016/j.jmva.2023.105246

Marléne Baumeister , Marc Ditzhaus , Markus Pauly

引用次数: 1

Abstract

Multivariate analysis-of-variance (MANOVA) is a well established tool to examine multivariate endpoints. While classical approaches depend on restrictive assumptions like normality and homogeneity, there is a recent trend to more general and flexible procedures. In this paper, we proceed on this path, but do not follow the typical mean-focused perspective. Instead we consider general quantiles, in particular the median, for a more robust multivariate analysis. The resulting methodology is applicable for all kind of factorial designs and shown to be asymptotically valid. Our theoretical results are complemented by an extensive simulation study for small and moderate sample sizes. An illustrative data analysis is also presented.

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基于分位数的方差分析:在析因设计中推断多变量数据的新工具

多变量方差分析(MANOVA)是检验多变量终点的成熟工具。虽然经典方法依赖于限制性假设，如正态性和同质性，但最近的趋势是更通用和灵活的程序。在本文中，我们沿着这条道路前进，但不遵循典型的以均值为中心的观点。相反，我们考虑一般分位数，特别是中位数，以进行更稳健的多变量分析。所得到的方法适用于所有类型的析因设计，并证明是渐近有效的。我们的理论结果是补充了广泛的模拟研究小和中等样本量。并给出了一个说明性的数据分析。

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.