Block Designs: Analysis, Combinatorics and Applications

Block Designs: Analysis, Combinatorics and Applications

by Damaraju Raghavarao, Lakshmi V. Padgett
     
 

ISBN-10: 9812563601

ISBN-13: 9789812563606

Pub. Date: 11/10/2005

Publisher: World Scientific Publishing Company, Incorporated

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,…  See more details below

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

1Linear estimation and tests for linear hypotheses1
2General analysis of block designs16
3Randomized block designs45
4Balanced incomplete block designs - analysis and combinatorics54
5Balanced incomplete block designs - applications86
6T-designs108
7Linked block designs117
8Partially balanced incomplete block designs124
9Lattice designs155
10Miscellaneous designs162

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