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This book describes direct and recursive methods for the construction of combinatorial designs. It is ideally suited to the statistician through its discussion of how the designs currently used in experimental work have been obtained and through its coverage of other known and potentiallyuseful designs. It is equally suited to the needs of the combinatorialist, with its stress on the statistical motivation for studying particular finite structures and its suggestions of open problems in the construction of new designs with useful properties for the experimentalist. Designs arediscussed within a unified framework, showing the interplay between elegant structure and practical use.
This text investigates the mathematical construction of combinatorial designs and their practical application within the field of experimental statistics. Authors Anne Penfold Street and Deborah J. Street provide a rigorous examination of both direct and recursive methods for building these structures. By bridging the gap between abstract finite structures and applied statistical requirements, the authors establish a unified framework for understanding how experimental designs are generated and utilized.
What You Will Find
Experts recognize this work as a foundational text that successfully bridges the gap between pure combinatorics and applied statistics. Readers frequently note the technical density of the prose, which is tailored for researchers and advanced students requiring a formal understanding of design construction.
Page Count:
414
Publication Date:
1987-07-23
Publisher:
Oxford University Press
ISBN-10:
0198532563
ISBN-13:
9780198532569
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