Combinatorics of Experimental Design

Street, Anne Penfold

Clarendon Press（1987/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 414 p.
• 言語 ENG
• 商品コード 9780198532569
• DDC分類 511.6

Full 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.

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.