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Titlebook: Optimal Covariate Designs; Theory and Applicati Premadhis Das,Ganesh Dutta,Bikas Kumar Sinha Book 2015 Springer India 2015 Balanced Incompl

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发表于 2025-3-21 17:58:18 | 显示全部楼层 |阅读模式
书目名称Optimal Covariate Designs
副标题Theory and Applicati
编辑Premadhis Das,Ganesh Dutta,Bikas Kumar Sinha
视频video
概述Examines the optimality aspects of covariate designs for estimating the covariate parameters of different models.Utilizes novel combinatorial techniques in constructing optimal covariate designs.Provi
图书封面Titlebook: Optimal Covariate Designs; Theory and Applicati Premadhis Das,Ganesh Dutta,Bikas Kumar Sinha Book 2015 Springer India 2015 Balanced Incompl
描述This book primarily addresses the optimality aspects of covariate designs. A covariate model is a combination of ANOVA and regression models. Optimal estimation of the parameters of the model using a suitable choice of designs is of great importance; as such choices allow experimenters to extract maximum information for the unknown model parameters. The main emphasis of this monograph is to start with an assumed covariate model in combination with some standard ANOVA set-ups such as CRD, RBD, BIBD, GDD, BTIBD, BPEBD, cross-over, multi-factor, split-plot and strip-plot designs, treatment control designs, etc. and discuss the nature and availability of optimal covariate designs. In some situations, optimal estimations of both ANOVA and the regression parameters are provided. Global optimality and D-optimality criteria are mainly used in selecting the design. The standard optimality results of both discrete and continuous set-ups have been adapted, and several novel combinatorial techniques have been applied for the construction of optimum designs using Hadamard matrices, the Kronecker product, Rao-Khatri product, mixed orthogonal arrays to name a few.
出版日期Book 2015
关键词Balanced Incomplete Block Designs; Balanced Treatment Incomplete Block Designs; Covariate Models; Hadam
版次1
doihttps://doi.org/10.1007/978-81-322-2461-7
isbn_softcover978-81-322-2991-9
isbn_ebook978-81-322-2461-7
copyrightSpringer India 2015
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发表于 2025-3-21 22:19:18 | 显示全部楼层
Book 2015estimation of the parameters of the model using a suitable choice of designs is of great importance; as such choices allow experimenters to extract maximum information for the unknown model parameters. The main emphasis of this monograph is to start with an assumed covariate model in combination wit
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发表于 2025-3-22 05:01:09 | 显示全部楼层
OCDs in Balanced Incomplete Block Design Set-Up,the estimation of covariate parameters are established with the usual assumption that each of the values of the csovariates belongs to the interval [.]. Some constructions of D-optimal designs have been provided for symmetric balanced incomplete block design (SBIBD) with parameters . when . (mod 4) and . is an odd integer.
发表于 2025-3-22 08:53:24 | 显示全部楼层
OCDs in Binary Proper Equireplicate Block Design Set-Up,iously constructed for a particular class of cyclic designs (see Chaps. . and .). But a general method of construction of OCDs for a larger class of general cyclic designs has been proposed here. A list is also given in the appendix.
发表于 2025-3-22 15:15:27 | 显示全部楼层
OCDs in Balanced Treatment Incomplete Block Design Set-Up,oblem of construction of OCDs on the series of BTIB designs mainly described in Bechhofer, Tamhane, Technometrics 23:45–57, 1981, Bechhofer and Tamhane (.) and Das, Dey, Kageyama, Sinha, Australas J Combinatorics 32:243–252, 2005, Das et al. (.).
发表于 2025-3-22 20:52:55 | 显示全部楼层
OCDs in Randomized Block Design Set-Up,this chapter we discuss the construction procedures of OCDs in RBD set-up as considered by Das et al., J Stat Plan Inference 115:273–285, (.) and Rao et al., Electron Notes Discret Math 15:157–160, (.).
发表于 2025-3-23 00:47:24 | 显示全部楼层
OCDs in Group Divisible Design Set-Up, conveniently used to construct OCDs with as many covariates as possible. A list of OCDs based on some classes of GDDs available in Clatworthy, Tables of two-associate class partially balanced designs, (.) is given in the appendix for ready reference.
发表于 2025-3-23 03:07:14 | 显示全部楼层
Book 2015 of both discrete and continuous set-ups have been adapted, and several novel combinatorial techniques have been applied for the construction of optimum designs using Hadamard matrices, the Kronecker product, Rao-Khatri product, mixed orthogonal arrays to name a few.
发表于 2025-3-23 07:32:06 | 显示全部楼层
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