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Dey, Aloke Incomplete Block Designs ISBN 13: 9789814322683

Incomplete Block Designs - Hardcover

 
9789814322683: Incomplete Block Designs
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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 INCLUDING 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 OPTIMALITY RESULTS FOR TEST-CONTROL COMPARISONS, PARALLEL-LINE ASSAYS AND DIALLEL CROSS EXPERIMENTS.

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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 including 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 optimality results for test-control comparisons, parallel-line assays and diallel cross experiments.

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9789380250045: Incomplete Block Designs (Texts & Readings in Mathematics)

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ISBN 10:  9380250045 ISBN 13:  9789380250045
Verlag: Hindustan Book Agency, 2010
Hardcover

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