Combinatorics of experimental design

著者

• Street, Anne Penfold
• Street, Deborah J.

書誌事項

Combinatorics of experimental design

Anne Penfold Street and Deborah J. Street

Clarendon Press, 1987

• : hard
• : pbk

注記

Bibliography: p. [376]-389

Includes index

内容説明・目次

巻冊次

: pbk ISBN 9780198532552

内容説明

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.

巻冊次

: hard ISBN 9780198532569

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA00872362
• ISBN:
  • 0198532563
  • 0198532555
• LCCN: 86012587
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford ; New York
• ページ数/冊数: xiv, 400 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA279
  • DC19 : 519.5
• 件名:
  • LCSH : Experimental design
  • LCSH : Combinatorial designs and configurations