{"title":"基线参数化条件下的最优 s 级分数因子设计","authors":"Zhaohui Yan, Shengli Zhao","doi":"10.1016/j.jspi.2024.106242","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we explore the minimum aberration criterion for <span><math><mi>s</mi></math></span>-level designs under baseline parameterization, called BP-MA. We give a complete search method and an incomplete search method to obtain the BP-MA (or nearly BP-MA) designs. The methodology has no restriction on <span><math><mi>s</mi></math></span>, the levels of the factors. The catalogues of (nearly) BP-MA designs with <span><math><mrow><mi>s</mi><mo>=</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn></mrow></math></span> levels are provided.</div></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal s-level fractional factorial designs under baseline parameterization\",\"authors\":\"Zhaohui Yan, Shengli Zhao\",\"doi\":\"10.1016/j.jspi.2024.106242\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we explore the minimum aberration criterion for <span><math><mi>s</mi></math></span>-level designs under baseline parameterization, called BP-MA. We give a complete search method and an incomplete search method to obtain the BP-MA (or nearly BP-MA) designs. The methodology has no restriction on <span><math><mi>s</mi></math></span>, the levels of the factors. The catalogues of (nearly) BP-MA designs with <span><math><mrow><mi>s</mi><mo>=</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn></mrow></math></span> levels are provided.</div></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378375824000995\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378375824000995","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文探讨了基线参数化条件下 s 级设计的最小畸变准则，称为 BP-MA。我们给出了一种完全搜索方法和一种不完全搜索方法来获得 BP-MA（或近似 BP-MA）设计。该方法对因子水平 s 没有限制。我们提供了 s=2,3,4,5 级的（近似）BP-MA 设计目录。
Optimal s-level fractional factorial designs under baseline parameterization
In this paper, we explore the minimum aberration criterion for -level designs under baseline parameterization, called BP-MA. We give a complete search method and an incomplete search method to obtain the BP-MA (or nearly BP-MA) designs. The methodology has no restriction on , the levels of the factors. The catalogues of (nearly) BP-MA designs with levels are provided.
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