Efficient Augmented Block Designs for Unreplicated Test Treatments Along with Replicated Controls

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-24 DOI:10.1007/s13253-024-00629-7

Rahul Mukerjee

引用次数: 0

Abstract

Augmented block designs for unreplicated test treatments are investigated under the A- and MV-criteria with respect to test versus test, control versus test and control versus control comparisons. We derive design-independent lower bounds on these criteria over a wide class of competing designs. These bounds are useful benchmarks and the resulting expressions for efficiencies enable objective assessment of any given design under theA- and MV-criteria. It is seen that the use of BIB designs and duals thereof as well as existing block design catalogs often leads to very high efficiencies for all three types of comparisons. Illustrative examples, including a large-scale one, are presented.

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无重复试验处理和重复对照的高效扩增区组设计

根据 A 标准和 MV 标准，研究了试验与试验、对照与试验、对照与对照比较中的无重复试验处理的扩充区组设计。我们推导出了这些标准在众多竞争设计中的独立于设计的下限。这些下限是有用的基准，由此得出的效率表达式可根据 A 标准和 MV 标准对任何给定设计进行客观评估。我们可以看到，使用 BIB 设计及其对偶以及现有的块设计目录，往往能为所有三种类型的比较带来非常高的效率。文中还介绍了一些示例，包括一个大型示例。

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.