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Optimal Covariate Designs = Theory and Applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Optimal Covariate Designs/ by Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha.
Reminder of title:	Theory and Applications /
Author:	Das, Premadhis.
other author:	Dutta, Ganesh.
Description:	XVII, 221 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Statistics . -
Online resource:	https://doi.org/10.1007/978-81-322-2461-7
ISBN:	9788132224617

Optimal Covariate Designs = Theory and Applications /
Das, Premadhis.

Optimal Covariate DesignsTheory and Applications /[electronic resource] :by Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha. - 1st ed. 2015. - XVII, 221 p.online resource.

Chapter 1. Optimal Covariate Designs: Scope of the Monograph -- Chapter 2. OCDs in Completely Randomized Design Set-Up -- Chapter 3. OCDs in Randomized Block Design Set-Up -- Chapter 4. OCDs in Balanced Incomplete Block Design Set-Up -- Chapter 5. OCDs in Group Divisible Design Set-Up -- Chapter 6. OCDs in Binary Proper Equireplicate Block Design Set-Up -- Chapter 7. OCDs in Balanced Treatment Incomplete Block Design Set-Up -- Chapter 8. Miscellaneous other Topics and Issues -- Chapter 9. Applications of the Theory of OCDs.

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.

ISBN: 9788132224617

Standard No.: 10.1007/978-81-322-2461-7doiSubjects--Topical Terms:

1253516
Statistics .

LC Class. No.: QA276-280

Dewey Class. No.: 519.5

Optimal Covariate Designs = Theory and Applications /
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520 $a 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.
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