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Association Schemes: Designed Experiments, Algebra and Combinatorics (Cambridge Studies in Advanced Mathematics), by R. A. Bailey
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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.
- Sales Rank: #4441454 in Books
- Published on: 2011-03-03
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .83" w x 5.98" l, 1.19 pounds
- Binding: Paperback
- 406 pages
Review
"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
About the Author
R. A. Bailey has been Professor of Statistics at Queen Mary, University of London since 1994. She is a fellow of the Institute of Mathematical Statistics and a past president of the International Biometric Society, British Region. This book reflects her extensive experience teaching design of experiments and advising on its application. Her book Association Schemes was published by Cambridge University Press in 2004.
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