N. Koukoudakis , C. Koukouvinos , A. Lappa , M. Mitrouli , A. Psitou
{"title":"Numerical methods in modeling with supersaturated designs","authors":"N. Koukoudakis , C. Koukouvinos , A. Lappa , M. Mitrouli , A. Psitou","doi":"10.1016/j.apnum.2024.02.003","DOIUrl":null,"url":null,"abstract":"<div><div>The present study aims to investigate the application of several numerical methods<span><span> in least square problems, when the </span>design matrix<span> is a supersaturated design. This kind of statistical modeling appears frequently in a majority of applications and experiments where the main scope concerns the identification of the appropriate active factors and possible interactions as well. Several real data sets are analyzed and useful remarks and comparisons concerning the selection of the most appropriate factors are presented.</span></span></div></div>","PeriodicalId":8199,"journal":{"name":"Applied Numerical Mathematics","volume":"208 ","pages":"Pages 271-283"},"PeriodicalIF":2.4000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0168927424000254","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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Abstract
The present study aims to investigate the application of several numerical methods in least square problems, when the design matrix is a supersaturated design. This kind of statistical modeling appears frequently in a majority of applications and experiments where the main scope concerns the identification of the appropriate active factors and possible interactions as well. Several real data sets are analyzed and useful remarks and comparisons concerning the selection of the most appropriate factors are presented.
期刊介绍：
The purpose of the journal is to provide a forum for the publication of high quality research and tutorial papers in computational mathematics. In addition to the traditional issues and problems in numerical analysis, the journal also publishes papers describing relevant applications in such fields as physics, fluid dynamics, engineering and other branches of applied science with a computational mathematics component. The journal strives to be flexible in the type of papers it publishes and their format. Equally desirable are:
(i) Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational mathematics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research, in which other than strictly mathematical arguments may be important in establishing a basis for further developments.
(ii) Tutorial review papers, covering some of the important issues in Numerical Mathematics, Scientific Computing and their Applications. The journal will occasionally publish contributions which are larger than the usual format for regular papers.
(iii) Short notes, which present specific new results and techniques in a brief communication.
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