{"title":"一系列研究的演化推论","authors":"Aníbal Areia, J. Mexia, Manuela M. Oliveira","doi":"10.1145/3274250.3274259","DOIUrl":null,"url":null,"abstract":"Studies will be matrix triplets (X,Dp,Dn), where the matrix X has a row per object and a column per variable, while Dp and Dn are weight matrices for objects and variables, respectively. Given a series of studies (Xi,Dp,Dn),i=1,...,k, we condense the matrix triplets into the Ai = XiDpXtiDn, and use spectral analysis of matrix S = [Sij],i,j = 1,...,k, with Sij = tr(AiAjt) to study the series evolution. When we have a series of studies for each treatment of a basis design we carry out an ANOVA-like inference to study the action of the factors in the base design on the evolution of the series associated to the differents treatments.","PeriodicalId":410500,"journal":{"name":"Proceedings of the 2018 1st International Conference on Mathematics and Statistics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inference for the Evolution in Series of Studies\",\"authors\":\"Aníbal Areia, J. Mexia, Manuela M. Oliveira\",\"doi\":\"10.1145/3274250.3274259\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Studies will be matrix triplets (X,Dp,Dn), where the matrix X has a row per object and a column per variable, while Dp and Dn are weight matrices for objects and variables, respectively. Given a series of studies (Xi,Dp,Dn),i=1,...,k, we condense the matrix triplets into the Ai = XiDpXtiDn, and use spectral analysis of matrix S = [Sij],i,j = 1,...,k, with Sij = tr(AiAjt) to study the series evolution. When we have a series of studies for each treatment of a basis design we carry out an ANOVA-like inference to study the action of the factors in the base design on the evolution of the series associated to the differents treatments.\",\"PeriodicalId\":410500,\"journal\":{\"name\":\"Proceedings of the 2018 1st International Conference on Mathematics and Statistics\",\"volume\":\"58 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2018 1st International Conference on Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3274250.3274259\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2018 1st International Conference on Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3274250.3274259","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Studies will be matrix triplets (X,Dp,Dn), where the matrix X has a row per object and a column per variable, while Dp and Dn are weight matrices for objects and variables, respectively. Given a series of studies (Xi,Dp,Dn),i=1,...,k, we condense the matrix triplets into the Ai = XiDpXtiDn, and use spectral analysis of matrix S = [Sij],i,j = 1,...,k, with Sij = tr(AiAjt) to study the series evolution. When we have a series of studies for each treatment of a basis design we carry out an ANOVA-like inference to study the action of the factors in the base design on the evolution of the series associated to the differents treatments.