{"title":"Orthogonal uniform composite designs for the third-order models","authors":"Brenda Mbouamba Yankam, A. Oladugba","doi":"10.1214/22-bjps555","DOIUrl":null,"url":null,"abstract":": The third-order response surface designs are designs used to estimate the parameters of the third-order polynomial model. In this paper, the orthogonal uniform composite designs that combine two-level orthogonal array and four-level uniform design denoted by OUCD 4 for estimating the parameters of the third-order models are proposed. The OUCD 4 are good space-filling and efficient designs, that uses resolution IV as the initial design, provide more flexible run sizes, have the ability to execute in-depth analysis and perform multiple analysis with different parts of the data for cross-validation.","PeriodicalId":51242,"journal":{"name":"Brazilian Journal of Probability and Statistics","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Brazilian Journal of Probability and Statistics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1214/22-bjps555","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 1
Abstract
: The third-order response surface designs are designs used to estimate the parameters of the third-order polynomial model. In this paper, the orthogonal uniform composite designs that combine two-level orthogonal array and four-level uniform design denoted by OUCD 4 for estimating the parameters of the third-order models are proposed. The OUCD 4 are good space-filling and efficient designs, that uses resolution IV as the initial design, provide more flexible run sizes, have the ability to execute in-depth analysis and perform multiple analysis with different parts of the data for cross-validation.
期刊介绍:
The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes.
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(i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects.
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