Combinatorics of experimental design

Author(s)

• Street, Anne Penfold
• Street, Deborah J.

Bibliographic Information

Combinatorics of experimental design

Anne Penfold Street and Deborah J. Street

Clarendon Press, 1987

• : hard
• : pbk

Note

Bibliography: p. [376]-389

Includes index

Description and Table of Contents

Volume

: pbk ISBN 9780198532552

Description

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 potentially useful 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 are discussed within a unified framework, showing the interplay between elegant structure and practical use.

Volume

: hard ISBN 9780198532569

Description

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 potentially useful 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 are discussed within a unified framework, showing the interplay between elegant structure and practical use.

Table of Contents

• Notation, terminology, and numbering
• Introduction
• Balanced incomplete block designs
• Difference set constructions
• Isomorphism and irreducibility
• Latin squares and triple systems
• Mutually orthogonal Latin squares
• Further results on Latin squares
• Resolvable designs and finite geometries
• Symmetrical factorial designs
• Single replicate factorial designs
• Designs with partial balance
• Existence results: symmetric balanced designs
• Existence results: designs with index 1 and given block size
• Designs balanced for neighbouring varieties
• Competition designs
• References
• Some references to experimental work
• Index.

by "Nielsen BookData"

• NCID: BA00872362
• ISBN:
  • 0198532563
  • 0198532555
• LCCN: 86012587
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Oxford ; New York
• Pages/Volumes: xiv, 400 p.
• Size: 24 cm
• Classification:
  • LCC : QA279
  • DC19 : 519.5
• Subject Headings:
  • LCSH : Experimental design
  • LCSH : Combinatorial designs and configurations