Block Designs: Analysis, Combinatorics and Applications

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Overview

Combinatorial mathematicians and statisticians have made a wide range of contributions to the development of block designs, and this book brings together much of that work. The designs developed for a specific problem are used in a variety of different settings. Applications include controlled sampling, randomized response, validation and valuation studies, intercropping experiments, brand cross-effect designs, lotto and tournaments.

The intra- and inter-block, nonparametric and covariance analysis are discussed for general block designs, and the concepts of connectedness, orthogonality, and all types of balances in designs are carefully summarized. Readers are also introduced to the designs currently playing a prominent role in the field: alpha designs, trend-free designs, balanced treatment-control designs, nearest neighbor designs, and nested designs.

This book provides the important background results required by researchers in block designs and related areas and prepares them for more complex research on the subject.

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Product Details

  • ISBN-13: 9789812563606
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 11/10/2005
  • Series: Series on Applied Mathematics
  • Edition description: New Edition
  • Pages: 224
  • Product dimensions: 6.10 (w) x 9.00 (h) x 0.80 (d)

Table of Contents

1 Linear estimation and tests for linear hypotheses 1
2 General analysis of block designs 16
3 Randomized block designs 45
4 Balanced incomplete block designs - analysis and combinatorics 54
5 Balanced incomplete block designs - applications 86
6 T-designs 108
7 Linked block designs 117
8 Partially balanced incomplete block designs 124
9 Lattice designs 155
10 Miscellaneous designs 162
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