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Incomplete Block Designs (Hardback)

Aloke Dey

ISBN 10: 9380250045 / ISBN 13: 9789380250045
Edité par Hindustan Book Agency, India, 2010
Neuf(s) Etat : New Hardback
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A propos de cet article

Language: N/A. Brand New Book. This book presents a systematic, rigorous and comprehensive account of the theory and applications of incomplete block designs. An attempt has been made to cover all major aspects of incomplete block designs by consolidating vast amounts of material from the literature. The classical incomplete block designs, like the balanced incomplete block (BIB) designs and partially balanced incomplete block (PBIB) designs are covered at length. Some other developments like efficiency-balanced designs, nested designs, robust designs, C-designs and Alpha designs are also discussed. More recent developments in incomplete block designs for special types of experiments, like biological assays, test-control experiments and diallel crosses, which are generally not covered in the existing books, are given adequate coverage. Results on the optimality aspects of various incomplete block designs are reviewed in a separate chapter, which includes major results on optimal block designs as also many recent results on the optimality of incomplete block designs for test-control comparisons, parallel line assays and diallel cross experiments. Numerous examples illustrating the results are included and there are a number of exercises at the end of each of the chapters. There is also a fairly exhaustive bibliography. The book meets the requirements of the students at the master s level in statistics and there are some portions of the book which may be found useful for research students and consulting statisticians. Contents: 1. Introduction; 2. Analysis and Properties of Block Designs; 3. Balanced Designs; 4. Partially Balanced Designs; 5. More Incomplete Block Designs; 6. Optimality Aspects of Block Designs. Appendix: A.1 Some Results in Linear Algebra; A.2 Some Aspects of Linear Models; A.3 Finite Fields; A.4 Finite Geometries References. Index. N° de réf. du libraire AAN9789380250045

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Détails bibliographiques

Titre : Incomplete Block Designs (Hardback)

Éditeur : Hindustan Book Agency, India

Date d'édition : 2010

Reliure : Hardback

Etat du livre :New

A propos de ce titre

Synopsis :

This book presents a systematic, rigorous and comprehensive account of the theory and applications of incomplete block designs. An attempt has been made to cover all major aspects of incomplete block designs by consolidating vast amounts of material from the literature. The classical incomplete block designs, like the balanced incomplete block (BIB) designs and partially balanced incomplete block (PBIB) designs are covered at length. Some other developments like efficiency-balanced designs, nested designs, robust designs, C-designs and Alpha designs are also discussed. More recent developments in incomplete block designs for special types of experiments, like biological assays, test-control experiments and diallel crosses, which are generally not covered in the existing books, are given adequate coverage. Results on the optimality aspects of various incomplete block designs are reviewed in a separate chapter, which includes major results on optimal block designs as also many recent results on the optimality of incomplete block designs for test-control comparisons, parallel line assays and diallel cross experiments.

Numerous examples illustrating the results are included and there are a number of exercises at the end of each of the chapters. There is also a fairly exhaustive bibliography. The book meets the requirements of the students at the master´s level in statistics and there are some portions of the book which may be found useful for research students and consulting statisticians.

Synopsis:

This book presents a systematic, rigorous and comprehensive account of the theory and applications of incomplete block designs. All major aspects of incomplete block designs are considered by consolidating vast amounts of material from the literature - the classical incomplete block designs, like the balanced incomplete block (BIB) and partially balanced incomplete block (PBIB) designs. Other developments like efficiency-balanced designs, nested designs, robust designs, C-designs and alpha designs are also discussed, along with more recent developments in incomplete block designs for special types of experiments, like biological assays, test-control experiments and diallel crosses, which are generally not covered in existing books. Results on the optimality aspects of various incomplete block designs are reviewed in a separate chapter, that also includes recent results for test-control comparisons, parallel-line assays and diallel cross experiments.

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