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Optimal covariate designstheory and ...

Das, Premadhis.

Optimal covariate designstheory and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimal covariate designsby Premadhis Das ... [et al.].
其他題名:	theory and applications /
其他作者:	Das, Premadhis.
出版者:	New Delhi :Springer India :2015.
面頁冊數:	xvii, 220 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Analysis of covariance.
電子資源:	http://dx.doi.org/10.1007/978-81-322-2461-7
ISBN:	9788132224617 (electronic bk.)

Optimal covariate designstheory and applications /
Optimal covariate designstheory and applications /[electronic resource] :by Premadhis Das ... [et al.]. - New Delhi :Springer India :2015. - xvii, 220 p. :ill., digital ;24 cm.

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 (electronic bk.)

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

273447
Analysis of covariance.

LC Class. No.: QA279

Dewey Class. No.: 519.538

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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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