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Status已发表Published
TitleMultiple doubling: a simple effective construction technique for optimal two-level experimental designs
Creator
Date Issued2021
Source PublicationStatistical Papers
ISSN0932-5026
Volume62Issue:6Pages:2923-2967
Abstract

Design of experiment is an efficient statistical methodology of establishing which input variables are important (have significant effects) in an experiment (process) and the conditions under which these inputs should work to optimize the outputs of that process. Two-level designs are widely used in high-tech industries and manufacturing for productivity and quality improvement experiments. The construction of (nearly) optimal two-level designs for real-life experiments with large number of input variables can be quite challenging. The practice demonstrated that the existing techniques are complex, highly time-consuming, produce limited types of designs, and likely to fail in large experiments (i.e., optimal results are not expected). To overcome these significant problems, this article gives a simple and effective technique for constructing large two-level designs with good statistical properties. To meet practical needs in different fields, the statistical properties of the generated designs by the new technique are investigated from four basic perspectives: minimizing the similarity among the experimental runs, minimizing the aliasing among the input variables, maximizing the resolution, and filling the experimental domain as uniformly as possible. New recommended saturated orthogonal main effect plans and uniform orthogonal arrays of strength three with thousands or even millions of runs and factors are generated via the new technique without recourse to optimization software.

KeywordMinimum aberration designs Minimum moment aberration designs Minimum probability Hamming distance designs Multiple doubling Orthogonal arrays Uniform designs
DOI10.1007/s00362-020-01221-0
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000613595300001
Citation statistics
Cited Times:22[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/973
CollectionFaculty of Science and Technology
Corresponding AuthorElsawah, A. M.
Affiliation
1.Division of Science and Technology,Beijing Normal University–Hong Kong Baptist University United International College,Zhuhai,519085,China
2.Department of Mathematics,Faculty of Science,Zagazig University,Zagazig,44519,Egypt
First Author AffilicationBeijing Normal-Hong Kong Baptist University
Corresponding Author AffilicationBeijing Normal-Hong Kong Baptist University
Recommended Citation
GB/T 7714
Elsawah, A. M. Multiple doubling: a simple effective construction technique for optimal two-level experimental designs[J]. Statistical Papers, 2021, 62(6): 2923-2967.
APA Elsawah, A. M. (2021). Multiple doubling: a simple effective construction technique for optimal two-level experimental designs. Statistical Papers, 62(6), 2923-2967.
MLA Elsawah, A. M.."Multiple doubling: a simple effective construction technique for optimal two-level experimental designs". Statistical Papers 62.6(2021): 2923-2967.
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