國立虎尾科技大學 |

Optimal covariate designs = theory and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Optimal covariate designs/ by Premadhis Das ... [et al.].
Reminder of title:	theory and applications /
other author:	Das, Premadhis.
Published:	New Delhi :Springer India : : 2015.,
Description:	xvii, 220 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Analysis of covariance. -
Online resource:	http://dx.doi.org/10.1007/978-81-322-2461-7
ISBN:	9788132224617 (electronic bk.)

Optimal covariate designs = theory 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:

889898
Analysis of covariance.

LC Class. No.: QA279

Dewey Class. No.: 519.538

Optimal covariate designs = theory and applications /
LDR:02641nam a2200313 a 4500 001 836942
003 DE-He213
005 20160223152924.0
006 m d
007 cr nn 008maaau
008 160421s2015 ii s 0 eng d
020 $a 9788132224617 (electronic bk.)
020 $a 9788132224600 (paper)
024 7 $a 10.1007/978-81-322-2461-7 $2 doi
035 $a 978-81-322-2461-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA279
072 7 $a UFM $2 bicssc
072 7 $a COM077000 $2 bisacsh
082 0 4 $a 519.538 $2 23
090 $a QA279 $b .O62 2015
245 0 0 $a Optimal covariate designs $h [electronic resource] : $b theory and applications / $c by Premadhis Das ... [et al.].
260 $a New Delhi : $c 2015. $b Springer India : $b Imprint: Springer,
300 $a xvii, 220 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
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.
650 0 $a Analysis of covariance. $3 889898
650 1 4 $a Statistics. $3 556824
650 2 4 $a Statistics and Computing/Statistics Programs. $3 669775
650 2 4 $a Statistics for Business/Economics/Mathematical Finance/Insurance. $3 669275
650 2 4 $a Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 782247
650 2 4 $a Statistics for Life Sciences, Medicine, Health Sciences. $3 670172
700 1 $a Das, Premadhis. $3 1067413
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-81-322-2461-7
950 $a Mathematics and Statistics (Springer-11649)