Skip to content
Register Sign in Wishlist

Association Schemes
Designed Experiments, Algebra and Combinatorics

$60.99 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: March 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521188012

$ 60.99 (P)

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • R.A. Bailey covers in this study the mathematics of association schemes--an area lying between pure mathematics and statistics that relates to the optimal design of scientific experiments. The book is accessible to mathematicians as well as statisticians. Arising from a graduate course taught by the author, it appeals to students as well as researchers as a valuable reference work from which to learn about the statistical/combinatorial aspects of their work.

    • Written to be accessible to both pure mathematicians and statisticians
    • Based on a graduate course on association schemes and the optimal design of scientific experiments
    • Minimum prerequisites and numerous examples and exercises make book also suitable for self-study
    Read more

    Reviews & endorsements

    "The author of this impressive monograph is well-known as a world leader who has made fundamental contributions to this field. Now she has come up with this elegantly written volume that provides a unified survey of the developments in and around association schemes...While the presentation has throughout been lucid and well-organized, the book maintains a high level of mathematical rigour and depth. The impressive list of references, including the most up-to-date ones, will make the book particularly valuable. The large number of examples and exercises, all meticulously chosen, will certainly endear the book to its readers. The author has done a tremendous job, and the scientific community will be the beneficiary. This marvelous book should find a place on the bookshelf of any serious researcher in experimental design and combinatorial theory."
    Sankhya: The Indian Journal of Statistics

    "Bailey makes the connections and justifies this book's place in the library. Highly recommended."
    D.V. Feldman, University of New Hampshire, CHOICE

    "Rosemary Bailey's book is a valuable contribution to one of the important aspects of commutative scheme theory: the application of commutative scheme theory to statistics. Scheme theorists will be grateful for this contribution, because it fills one of the many gaps in the global view of schemes and their central role in mathematics."
    Bulletin of the AMS

    "Those interested in experimental design will see this book in the finest tradition of mathematical statistics. It is thorough, precise, and comprehensive within its reach."
    Journal of the American Statistical Association

    "I think the author deserves applause for this book from everybody who is interested in schemes."
    Mathematics Reviews

    "This book will be a welcome addition to researchers in the area of association schemes as it is comprehensive and indicates likely directions for future work."
    Journal of the Royal Statistical Society

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: March 2011
    • format: Paperback
    • isbn: 9780521188012
    • length: 406 pages
    • dimensions: 229 x 152 x 21 mm
    • weight: 0.54kg
    • availability: Available
  • Table of Contents

    1. Association schemes
    2. The Bose–Mesner algebra
    3. Combining association schemes
    4. Incomplete-block designs
    5. Partial balance
    6. Families of partitions
    7. Designs for structured sets
    8. Groups
    9. Posets
    10. Subschemes, quotients, duals and products
    11. Association schemes on the same set
    12. Where next?
    13. History and references.

  • Author

    R. A. Bailey, Queen Mary University of London

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.