{"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}
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Abstract
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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