线性模型中设计矩阵和相关协方差矩阵的有效生成算法

Proceedings of the 16th annual Southeast regional conference Pub Date : 1978-04-13 DOI:10.1145/503643.503689

L. Murray, F. M. Speed

{"title":"线性模型中设计矩阵和相关协方差矩阵的有效生成算法","authors":"L. Murray, F. M. Speed","doi":"10.1145/503643.503689","DOIUrl":null,"url":null,"abstract":"is used in the analysis of linear models for estimation, components of variance, and tests of hypothesis is an nxq matrix of zeroes and ones, k q= ~ (ni+l)-i , k being the number of factors, i=l n. being the number of levels of the ith factor, z and R=2k-l. In such situations, the design matrix incorporates information about main effects and their interactions. For example, in a 2x3, factorial experiment, k=2, nl=2 , n2=3 , R=2K-I=3, and","PeriodicalId":166583,"journal":{"name":"Proceedings of the 16th annual Southeast regional conference","volume":"148 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1978-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An algorithm for efficiently generating the design matrix and the associated covarience matrix in linear models\",\"authors\":\"L. Murray, F. M. Speed\",\"doi\":\"10.1145/503643.503689\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"is used in the analysis of linear models for estimation, components of variance, and tests of hypothesis is an nxq matrix of zeroes and ones, k q= ~ (ni+l)-i , k being the number of factors, i=l n. being the number of levels of the ith factor, z and R=2k-l. In such situations, the design matrix incorporates information about main effects and their interactions. For example, in a 2x3, factorial experiment, k=2, nl=2 , n2=3 , R=2K-I=3, and\",\"PeriodicalId\":166583,\"journal\":{\"name\":\"Proceedings of the 16th annual Southeast regional conference\",\"volume\":\"148 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 16th annual Southeast regional conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/503643.503689\",\"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 16th annual Southeast regional conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/503643.503689","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

用于分析估计、方差成分和假设检验的线性模型是一个由0和1组成的nxq矩阵，k q= ~ (ni+l)-i, k为因子数，i=l n为第i个因子的层次数，z和R=2k-l。在这种情况下，设计矩阵包含有关主要效果及其相互作用的信息。例如，在一个2x3的阶乘实验中，k=2, nl=2, n2=3, R=2K-I=3

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

An algorithm for efficiently generating the design matrix and the associated covarience matrix in linear models

is used in the analysis of linear models for estimation, components of variance, and tests of hypothesis is an nxq matrix of zeroes and ones, k q= ~ (ni+l)-i , k being the number of factors, i=l n. being the number of levels of the ith factor, z and R=2k-l. In such situations, the design matrix incorporates information about main effects and their interactions. For example, in a 2x3, factorial experiment, k=2, nl=2 , n2=3 , R=2K-I=3, and

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the 16th annual Southeast regional conference

自引率

0.00%

发文量