{"title":"d -最优化学平衡称重设计与对角协方差矩阵的实验误差","authors":"M. Graczyk, B. Ceranka","doi":"10.2478/bile-2020-0004","DOIUrl":null,"url":null,"abstract":"Summary In this paper, some problems related to determining experimental plans satisfying the criterion of D-optimality are presented. Moreover, the optimality conditions and relations between the parameters of the chemical balance weighing designs are described, and some construction examples are given.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"64 1","pages":"37 - 52"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"D-optimal chemical balance weighing designs with diagonal covariance matrix of experimental errors\",\"authors\":\"M. Graczyk, B. Ceranka\",\"doi\":\"10.2478/bile-2020-0004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary In this paper, some problems related to determining experimental plans satisfying the criterion of D-optimality are presented. Moreover, the optimality conditions and relations between the parameters of the chemical balance weighing designs are described, and some construction examples are given.\",\"PeriodicalId\":8933,\"journal\":{\"name\":\"Biometrical Letters\",\"volume\":\"64 1\",\"pages\":\"37 - 52\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Biometrical Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/bile-2020-0004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biometrical Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/bile-2020-0004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
D-optimal chemical balance weighing designs with diagonal covariance matrix of experimental errors
Summary In this paper, some problems related to determining experimental plans satisfying the criterion of D-optimality are presented. Moreover, the optimality conditions and relations between the parameters of the chemical balance weighing designs are described, and some construction examples are given.
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