Theory of Optimal Designs

  • Kirti R. Shah
  • Bikas K. Sinha

Part of the Lecture Notes in Statistics book series (LNS, volume 54)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Kirti R. Shah, Bikas K. Sinha
    Pages 1-16
  3. Kirti R. Shah, Bikas K. Sinha
    Pages 17-29
  4. Kirti R. Shah, Bikas K. Sinha
    Pages 30-65
  5. Kirti R. Shah, Bikas K. Sinha
    Pages 66-84
  6. Kirti R. Shah, Bikas K. Sinha
    Pages 85-96
  7. Kirti R. Shah, Bikas K. Sinha
    Pages 97-119
  8. Kirti R. Shah, Bikas K. Sinha
    Pages 120-140
  9. Kirti R. Shah, Bikas K. Sinha
    Pages 141-163
  10. Back Matter
    Pages 164-171

About this book


There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models arising in the experimental designs and substantial progress has been made towards solving some of these. The subject has now reached a stage of completeness which calls for a self-contained monograph on this topic. The aim of this monograph is to present the state of the art and to focus on more recent advances in this rapidly developing area. We start with a discussion of statistical optimality criteria in Chapter One. Chapters Two and Three deal with optimal block designs. Row-column designs are dealt with in Chapter Four. In Chapter Five we deal with optimal designs with mixed effects models. Repeated measurement designs are considered in Chapter Six. Chapter Seven deals with some special situations and Weighing designs are dis­ cussed in Chapter Eight. We have endeavoured to include all the major developments that have taken place in the last three decades. The book should be of use to research workers in several areas including combinatorics as well as to the experimenters in diverse fields of applications. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper­ ties. We believe, this will be adequate for the experimenters.


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Authors and affiliations

  • Kirti R. Shah
    • 1
  • Bikas K. Sinha
    • 2
  1. 1.Department of Statistics and Actuarial ScienceUniversity of WaterlooWaterlooCanada
  2. 2.Stat-Math DivisionIndian Statistical InstituteCalcuttaIndia

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1989
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96991-6
  • Online ISBN 978-1-4612-3662-7
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site