Block Designs: Analysis, Combinatorics And Applications

Block Designs: Analysis, Combinatorics And Applications
Author: Damaraju Raghavarao
Publisher: World Scientific
Total Pages: 224
Release: 2005-10-11
Genre: Mathematics
ISBN: 9814480231

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.

AFOSR.

AFOSR.
Author: United States. Air Force. Office of Scientific Research
Publisher:
Total Pages: 1136
Release: 1957
Genre: Research
ISBN:

Incomplete Block Designs

Incomplete Block Designs
Author: Aloke Dey
Publisher: World Scientific
Total Pages: 291
Release: 2010-08-31
Genre: Mathematics
ISBN: 9814464104

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.

Combinatorial Designs and their Applications

Combinatorial Designs and their Applications
Author: Kathleen Quinn
Publisher: Taylor & Francis
Total Pages: 160
Release: 2023-02-06
Genre: Mathematics
ISBN: 1351459740

The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature.The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.

Cyclic and Computer Generated Designs

Cyclic and Computer Generated Designs
Author: J.A. John
Publisher: CRC Press
Total Pages: 268
Release: 1995-09-01
Genre: Mathematics
ISBN: 1482221292

Cyclic and Computer Generated Designs is a much-expanded and updated version of the well-received monograph, Cyclic Designs . The book is primarily concerned with the construction and analysis of designs with a number of different blocking structures, such as revolvable designs, row-column designs, and Latinized designs. It describes how appropriat

Experimental Design and Analysis for Tree Improvement

Experimental Design and Analysis for Tree Improvement
Author: ER Williams
Publisher: CSIRO PUBLISHING
Total Pages: 232
Release: 2002-05-16
Genre: Technology & Engineering
ISBN: 0643098887

Experimental Design and Analysis for Tree Improvement provides a set of practical procedures to follow when planning, designing and analysing tree improvement trials. Using many fully-worked examples, it outlines how to: design field, glasshouse and laboratory trials; efficiently collect data and construct electronic data files; pre-process data, screening for data quality and outliers; analyse data from single and across-site trials using either GenStat or SAS; and interpret the results from statistical analyses. The authors address the many practical issues often faced in forest tree improvement trials and describe techniques that will give conclusive results with the minimum expense. The techniques provided are applicable to the improvement of not only trees, but to crops in general. Building on the success of the first edition, this edition includes commercially-available software packages for design generation (CycDesigN) and data pre-processing and automated generation of programs for statistical analysis (DataPlus). For analysis, it provides both GenStat and SAS programs as generated by DataPlus.