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The Construction Of Balanced Incomplete Block Designs
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Book Synopsis Incomplete Block Designs by : Aloke Dey
Download or read book Incomplete Block Designs written by Aloke Dey and published by World Scientific. This book was released on 2010 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Combinatorial Theory by : Marshall Hall
Download or read book Combinatorial Theory written by Marshall Hall and published by John Wiley & Sons. This book was released on 1998-07-16 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.
Book Synopsis Incomplete Block Designs by : Peter William Meredith John
Download or read book Incomplete Block Designs written by Peter William Meredith John and published by . This book was released on 1980 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Block Designs by : Damaraju Raghavarao
Download or read book Block Designs written by Damaraju Raghavarao and published by World Scientific. This book was released on 2005 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Combinatorial Designs by : Douglas Stinson
Download or read book Combinatorial Designs written by Douglas Stinson and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
Book Synopsis Design of Comparative Experiments by : R. A. Bailey
Download or read book Design of Comparative Experiments written by R. A. Bailey and published by Cambridge University Press. This book was released on 2008-04-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book should be on the shelf of every practising statistician who designs experiments. Good design considers units and treatments first, and then allocates treatments to units. It does not choose from a menu of named designs. This approach requires a notation for units that does not depend on the treatments applied. Most structure on the set of observational units, or on the set of treatments, can be defined by factors. This book develops a coherent framework for thinking about factors and their relationships, including the use of Hasse diagrams. These are used to elucidate structure, calculate degrees of freedom and allocate treatment subspaces to appropriate strata. Based on a one-term course the author has taught since 1989, the book is ideal for advanced undergraduate and beginning graduate courses. Examples, exercises and discussion questions are drawn from a wide range of real applications: from drug development, to agriculture, to manufacturing.
Book Synopsis Applied Statistical Methods in Agriculture, Health and Life Sciences by : Bayo Lawal
Download or read book Applied Statistical Methods in Agriculture, Health and Life Sciences written by Bayo Lawal and published by Springer. This book was released on 2014-09-15 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches crucial statistical methods to answer research questions using a unique range of statistical software programs, including MINITAB and R. This textbook is developed for undergraduate students in agriculture, nursing, biology and biomedical research. Graduate students will also find it to be a useful way to refresh their statistics skills and to reference software options. The unique combination of examples is approached using MINITAB and R for their individual strengths. Subjects covered include among others data description, probability distributions, experimental design, regression analysis, randomized design and biological assay. Unlike other biostatistics textbooks, this text also includes outliers, influential observations in regression and an introduction to survival analysis. Material is taken from the author's extensive teaching and research in Africa, USA and the UK. Sample problems, references and electronic supplementary material accompany each chapter.
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Design and Analysis of Experiments, Introduction to Experimental Design by : Klaus Hinkelmann
Download or read book Design and Analysis of Experiments, Introduction to Experimental Design written by Klaus Hinkelmann and published by John Wiley & Sons. This book was released on 1994-03-22 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design and analysis of experiments/Hinkelmann.-v.1.
Book Synopsis Combinatorial Group Testing and Its Applications by : Dingzhu Du
Download or read book Combinatorial Group Testing and Its Applications written by Dingzhu Du and published by World Scientific. This book was released on 2000 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group testing has been used in medical, chemical and electrical testing, coding, drug screening, pollution control, multiaccess channel management, and recently in data verification, clone library screening and AIDS testing. The mathematical model can be either combinatorial or probabilistic. This book summarizes all important results under the combinatorial model, and demonstrates their applications in real problems. Some other search problems, including the famous counterfeit-coins problem, are also studied in depth. There are two reasons for publishing a second edition of this book. The first is the usual need to update the text (after six years) and correct errors. The second -- and more important -- reason is to accommodate the recent sudden growth of interest in applying the idea of group testing to clone library screening. This development is much more than just a new application, since the new application brings with it new objectives which require a new twist of theory. It also embraces the growing importance of two topics: nonadaptive algorithms and error tolerance. Two new chapters, one on clone library screening and the other on error tolerance, have been added. Also included is a new chapter on counterfeit coins, the most famous search problem historically, which recently drew on an unexpected connection to some deep mathematical theory to yield new results. Finally, the chapters have been recognized into parts to provide focuses and perspectives.
Book Synopsis Incomplete Block Designs by : Aloke Dey
Download or read book Incomplete Block Designs written by Aloke Dey and published by World Scientific. This book was released on 2010-08-31 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Optimal Design of Experiments by : Friedrich Pukelsheim
Download or read book Optimal Design of Experiments written by Friedrich Pukelsheim and published by SIAM. This book was released on 2006-04-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.
Book Synopsis The Theory of the Design of Experiments by : D.R. Cox
Download or read book The Theory of the Design of Experiments written by D.R. Cox and published by CRC Press. This book was released on 2000-06-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why study the theory of experiment design? Although it can be useful to know about special designs for specific purposes, experience suggests that a particular design can rarely be used directly. It needs adaptation to accommodate the circumstances of the experiment. Successful designs depend upon adapting general theoretical principles to the spec
Download or read book Design Theory written by Zhe-xian Wan and published by World Scientific Publishing Company. This book was released on 2009-11-11 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the basic subjects of design theory. It begins with balanced incomplete block designs, various constructions of which are described in ample detail. In particular, finite projective and affine planes, difference sets and Hadamard matrices, as tools to construct balanced incomplete block designs, are included. Orthogonal latin squares are also treated in detail. Zhu's simpler proof of the falsity of Euler's conjecture is included. The construction of some classes of balanced incomplete block designs, such as Steiner triple systems and Kirkman triple systems, are also given. T-designs and partially balanced incomplete block designs (together with association schemes), as generalizations of balanced incomplete block designs, are included. Some coding theory related to Steiner triple systems are clearly explained. The book is written in a lucid style and is algebraic in nature. It can be used as a text or a reference book for graduate students and researchers in combinatorics and applied mathematics. It is also suitable for self-study.
Book Synopsis Risk Management for Design and Construction by : Ovidiu Cretu
Download or read book Risk Management for Design and Construction written by Ovidiu Cretu and published by John Wiley & Sons. This book was released on 2011-06-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential risk assessment guide for civil engineering, design, and construction Risk management allows construction professionals to identify the risks inherent in all projects, and to provide the tools for evaluating the probabilities and impacts to minimize the risk potential. This book introduces risk as a central pillar of project management and shows how a project manager can be prepared for dealing with uncertainty. Written by experts in the field, Risk Management for Design and Construction uses clear, straightforward terminology to demystify the concepts of project uncertainty and risk. Highlights include: Integrated cost and schedule risk analysis An introduction to a ready-to-use system of analyzing a project's risks and tools to proactively manage risks A methodology that was developed and used by the Washington State Department of Transportation Case studies and examples on the proper application of principles Information about combining value analysis with risk analysis "This book is a must for professionals who are seeking to move towards a proactive risk-centric management style. It is a valuable resource for students who are discovering the intricacies of uncertainties and risks within value estimation. For professionals, the book advocates for identifying and analyzing 'only' risks whose impact are of consequence to a project's performance." JOHN MILTON, PHD, PE Director of Enterprise Risk Management, Washington State Department of Transportation
Book Synopsis Theory of Block Designs by : Aloke Dey
Download or read book Theory of Block Designs written by Aloke Dey and published by John Wiley & Sons. This book was released on 1986 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Block Designs provides a systematic, self-contained and comprehensive account of construction, analysis and applications of block designs.
Book Synopsis Block Designs: Analysis, Combinatorics And Applications by : Damaraju Raghavarao
Download or read book Block Designs: Analysis, Combinatorics And Applications written by Damaraju Raghavarao and published by World Scientific. This book was released on 2005-10-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.