Skip to main content
SpringerLink
Log in

Theory of Optimal Designs

  • Book
  • © 1989

Overview

Authors:
  1. Kirti R. Shah

    1. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Bikas K. Sinha

    1. Stat-Math Division, Indian Statistical Institute, Calcutta, India

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Optimality Criteria in Design of Experiments

    • Kirti R. Shah, Bikas K. Sinha
    Pages 1-16

  3. Block Designs: General Optimality

    • Kirti R. Shah, Bikas K. Sinha
    Pages 17-29

  4. Block Designs: Specific Optimality

    • Kirti R. Shah, Bikas K. Sinha
    Pages 30-65

  5. Row-Column Designs

    • Kirti R. Shah, Bikas K. Sinha
    Pages 66-84

  6. Mixed Effects Models

    • Kirti R. Shah, Bikas K. Sinha
    Pages 85-96

  7. Repeated Measurements Designs

    • Kirti R. Shah, Bikas K. Sinha
    Pages 97-119

  8. Optimal Designs for Some Special Cases

    • Kirti R. Shah, Bikas K. Sinha
    Pages 120-140

  9. Weighing Designs

    • Kirti R. Shah, Bikas K. Sinha
    Pages 141-163

  10. Back Matter

    Pages 164-171
    Download chapter PDF
Back to top

Keywords

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.

Authors and Affiliations

  • Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Canada

    Kirti R. Shah

  • Stat-Math Division, Indian Statistical Institute, Calcutta, India

    Bikas K. Sinha

Bibliographic Information

  • Book Title: Theory of Optimal Designs

  • Authors: Kirti R. Shah, Bikas K. Sinha

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-3662-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-0-387-96991-6Published: 30 October 1989

  • eBook ISBN: 978-1-4612-3662-7Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: VIII, 171

  • Topics: Applications of Mathematics

Publish with us

Policies and ethics

Back to top

Search

Navigation