Block Designs


Block Designs
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Incomplete Block Designs


Incomplete Block Designs
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Author : Aloke Dey
language : en
Publisher: World Scientific
Release Date : 2010

Incomplete Block Designs written by Aloke Dey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


Presents an account of the theory and applications of incomplete block designs. This title considers various major aspects of incomplete block designs by consolidating material from the literature - the classical incomplete block designs, like the balanced incomplete block (BIB) and partially balanced incomplete block (PBIB) designs.



Block Designs


Block Designs
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Author : Damaraju Raghavarao
language : en
Publisher: World Scientific
Release Date : 2005

Block Designs written by Damaraju Raghavarao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


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.



Theory Of Block Designs


Theory Of Block Designs
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Author : Aloke Dey
language : en
Publisher: John Wiley & Sons
Release Date : 1986

Theory Of Block Designs written by Aloke Dey and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.


Theory of Block Designs provides a systematic, self-contained and comprehensive account of construction, analysis and applications of block designs.



Characterizations And Analysis Of Block Designs


Characterizations And Analysis Of Block Designs
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Author : A. K. Nigam
language : en
Publisher:
Release Date : 1988

Characterizations And Analysis Of Block Designs written by A. K. Nigam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.




Block Designs A Randomization Approach


Block Designs A Randomization Approach
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Author : Tadeusz Calinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Block Designs A Randomization Approach written by Tadeusz Calinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The book is composed of two volumes, each consisting of five chapters. In Vol ume I, following some statistical motivation based on a randomization model, a general theory of the analysis of experiments in block designs has been de veloped. In the present Volume II, the primary aim is to present methods of that satisfy the statistical requirements described in constructing block designs Volume I, particularly those considered in Chapters 3 and 4, and also to give some catalogues of plans of the designs. Thus, the constructional aspects are of predominant interest in Volume II, with a general consideration given in Chapter 6. The main design investigations are systematized by separating the material into two contents, depending on whether the designs provide unit efficiency fac tors for some contrasts of treatment parameters (Chapter 7) or not (Chapter 8). This distinction in classifying block designs may be essential from a prac tical point of view. In general, classification of block designs, whether proper or not, is based here on efficiency balance (EB) in the sense of the new termi nology proposed in Section 4. 4 (see, in particular, Definition 4. 4. 2). Most of the attention is given to connected proper designs because of their statistical advantages as described in Volume I, particularly in Chapter 3. When all con trasts are of equal importance, either the class of (v - 1; 0; O)-EB designs, i. e.



Incomplete Block Designs


Incomplete Block Designs
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Author : Peter William Meredith John
language : en
Publisher:
Release Date : 1980

Incomplete Block Designs written by Peter William Meredith John and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.




Cyclic Designs


Cyclic Designs
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Author : J. A. John
language : en
Publisher:
Release Date : 1972

Cyclic Designs written by J. A. John and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Experimental design categories.




Frames And Resolvable Designs


Frames And Resolvable Designs
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Author : Steven Furino
language : en
Publisher: CRC Press
Release Date : 1996-06-10

Frames And Resolvable Designs written by Steven Furino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-10 with Mathematics categories.


Frames, together with a modified fundamental construction, provide a powerful recursive mechanism for constructing resolvable balanced incomplete block designs (BIBDs). Frames and Resolvable Designs: Uses, Constructions and Existence presents a unique study of frames and their application to this construction. Chapter 1 sets the stage by describing the games combinatorialists play. It introduces basic combinatorial structures and construction techniques. Chapter 2 discusses frames extensively and includes comprehensive lists of direct and recursive constructions. Chapter 3 provides known classes of RBIBD constructions. Chapter 4 deals with existence results and demonstrates the utility of the frame approach. Chapter 5 is a series of informative tables useful for researchers. No other book tackles this demanding topic from these varied perspectives. Multi-faceted and written for easy access by different users, Frames and Resolvable Designs: Uses, Constructions and Existence is the right choice for students, as a text in advanced design theory; for researchers, as a resource complement to standard encyclopedic works; and for mathematicians and statisticians in this field, as a working handbook.



Graph Theory Coding Theory And Block Designs


Graph Theory Coding Theory And Block Designs
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Author : P. J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1975-09-18

Graph Theory Coding Theory And Block Designs written by P. J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-09-18 with Mathematics categories.


These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London.



Ordering Block Designs


Ordering Block Designs
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Author : Megan Dewar
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-30

Ordering Block Designs written by Megan Dewar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-30 with Mathematics categories.


The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes -- the most common and well-studied combinatorial ordering concept -- and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications.