Incomplete block designs

Incomplete block designs / Aloke Dey.

"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 de...

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Bibliographic Details
Main Author: Dey, Aloke (Author)
Format: eBook
Language:English
Published: Singapore ; Hackensack, NJ : [Gurgaon] : World Scientific ; Hindustan Book Agency, [2010]
Subjects:
Incomplete block designs > Textbooks.
MATHEMATICS > Combinatorics.
Incomplete block designs
Textbooks
Online Access:Click for online access
Table of Contents:
  • 1. Introduction. 1.1. Prologue. 1.2. Outline of the book
  • 2. Analysis and properties of block designs. 2.1. Introduction. 2.2. Intra-block analysis. 2.3. Balancing in block designs. 2.4. Recovery of inter-block information. 2.5. Efficiency factor. 2.6. Exercises
  • 3. Balanced designs. 3.1. Introduction. 3.2. Some properties of BIB designs. 3.3. Analysis of BIB designs. 3.4. Construction and existence of BIB designs. 3.5. Some generalizations of BIB designs. 3.6. Construction of variance- and efficiency-balanced designs. 3.7. Nested BIB designs. 3.8. Exercises
  • 4. Partially balanced designs. 4.1. Introduction. 4.2. Introducing PBIB designs. 4.3. The algebra of association matrices. 4.4. PBIB designs with two associate classes. 4.5. PBIB designs with more than two classes. 4.6. Analysis of PBIB design. 4.7. Lattice designs. 4.8. Cyclic designs. 4.9. Linked block designs. 4.10. C-designs. 4.11. Alpha designs. 4.12. Exercises
  • 5. More incomplete block designs. 5.1. Introduction. 5.2. Designs for factorial experiments. 5.3. Designs for parallel line assays. 5.4. Designs for test-control comparisons. 5.5. Designs for diallel crosses. 5.6. Robust incomplete block designs. 5.7. Exercises
  • 6. Optimality aspects of block designs. 6.1. Introduction. 6.2. Optimality criteria. 6.3. Optimality of proper block design. 6.4. Optimal designs for test-control comparisons. 6.5. Optimal designs for parallel line assays. 6.6. Optimal designs for diallel crosses. 6.7. Exercises
  • Appendix.

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