Optimal Covariate Designs

Theory and Applications

  • Premadhis Das
  • Ganesh Dutta
  • Nripes Kumar Mandal
  • Bikas Kumar Sinha

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 1-11
  3. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 13-26
  4. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 27-39
  5. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 41-63
  6. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 65-88
  7. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 89-111
  8. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 113-130
  9. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 131-176
  10. Premadhis Das, Ganesh Dutta, Nripes Kumar Mandal, Bikas Kumar Sinha
    Pages 177-216
  11. Back Matter
    Pages 217-221

About this book

Introduction

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.

Keywords

Balanced Incomplete Block Designs Balanced Treatment Incomplete Block Designs Covariate Models Hadamard Matrices Mixed Orthogonal Arrays Optimum Designs Partially Balanced Incomplete Block Designs Regression Designs

Authors and affiliations

  • Premadhis Das
    • 1
  • Ganesh Dutta
    • 2
  • Nripes Kumar Mandal
    • 3
  • Bikas Kumar Sinha
    • 4
  1. 1.Department of StatisticsUniversity of KalyaniKalyaniIndia
  2. 2.Department of StatisticsBasanti Devi College (Affiliated to University of Calcutta)KolkataIndia
  3. 3.Department of StatisticsUniversity of CalcuttaKolkataIndia
  4. 4.Professor of Statistics (retd.)Indian Statistical InstituteKolkataIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-81-322-2461-7
  • Copyright Information Springer India 2015
  • Publisher Name Springer, New Delhi
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-81-322-2460-0
  • Online ISBN 978-81-322-2461-7
  • About this book
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