从重复的加阶实验分析色散效应

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL Journal of Quality Technology Pub Date : 2022-08-22 DOI:10.1080/00224065.2022.2110024
Shin-Fu Tsai
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引用次数: 2

摘要

摘要:在一些化学、工业和制药研究中,除位置效应外,分散效应在寻找几种材料的最佳加成顺序方面可能起着至关重要的作用。本文介绍了两种基于复制的统计方法,使用频率论和基准概率参数来识别复制的加阶实验的主动色散效应。仿真结果表明,两种方法都能保持足够接近名义水平的经验尺寸,而它们的有限样本性能非常相似。从统计学的角度来看,基准法可以提供一个统一的概率框架来分析色散效应和位置效应。然而,它在计算上比频率论方法更昂贵。因此,由于计算成本低,频率方法被推荐用于实际应用。一项药物联合研究被用来说明这两种方法。此外,还将一些符合条件的附加顺序设计收集在目录中,以供今后的工作使用。
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Analyzing dispersion effects from replicated order-of-addition experiments
Abstract Dispersion effects may play a vital role, in addition to location effects, in exploring optimal addition orders of several materials in some chemical, industrial and pharmaceutical studies. Two replication-based statistical methods developed using frequentist and fiducial probability arguments are introduced in this paper to identify active dispersion effects from replicated order-of-addition experiments. Simulation results show that both approaches can maintain empirical sizes sufficiently close to the nominal level while their finite-sample performances are very similar. From a statistical perspective, the fiducial method can provide a unified probability framework to analyze dispersion effects as well as location effects. However, it is computationally more expensive than the frequentist method. Consequently, the frequentist method is recommended for real-world applications due to its low computational cost. A drug combination study is used to illustrate these two approaches. In addition, some eligible order-of-addition designs are collected in a catalogue for future work.
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来源期刊
Journal of Quality Technology
Journal of Quality Technology 管理科学-工程:工业
CiteScore
5.20
自引率
4.00%
发文量
23
审稿时长
>12 weeks
期刊介绍: The objective of Journal of Quality Technology is to contribute to the technical advancement of the field of quality technology by publishing papers that emphasize the practical applicability of new techniques, instructive examples of the operation of existing techniques and results of historical researches. Expository, review, and tutorial papers are also acceptable if they are written in a style suitable for practicing engineers. Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days
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