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Book Cover
Book
Author Bailey, R. (Rosemary)

Title Association schemes designed experiments, algebra and combinatorics / R. A. Bailey
Published New York : Cambridge University Press, 2003

Copies

Location Call no. Vol. Availability
 W'PONDS  511.6 Bai/Asd  AVAILABLE
Description xviii, 387 pages : illustrations ; 23cm
Series Cambridge studies in advanced mathematics ; 84
Cambridge studies in advanced mathematics ; 84
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
Summary "Association schemes were invented by statisticians on order to enable them to extend their range of block designs from 2-designs to partially balanced designs. However, they have intrinsic interest to combinatorialists and to group theorists as they include strongly regular graphs and schemes based on Abelian groups. They also have a wider use within statistics, forming the basic structures of many designed experiments. This book blends these topics in an accessible way without assuming any background in either group theory or designed experiments."--BOOK JACKET
Bibliography Includes bibliographical references and index
Subject Association schemes -- Combinatorial analysis
Experimental design.
Association schemes (Combinatorial analysis)
LC no. 2003044034
ISBN 052182446X