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.
Download or read book Graph Theory Coding Theory and Block Designs written by P. J. Cameron and published by Cambridge University Press. This book was released on 1975-09-18 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Theory of Optimal Designs written by Kirti R. Shah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models arising in the experimental designs and substantial progress has been made towards solving some of these. The subject has now reached a stage of completeness which calls for a self-contained monograph on this topic. The aim of this monograph is to present the state of the art and to focus on more recent advances in this rapidly developing area. We start with a discussion of statistical optimality criteria in Chapter One. Chapters Two and Three deal with optimal block designs. Row-column designs are dealt with in Chapter Four. In Chapter Five we deal with optimal designs with mixed effects models. Repeated measurement designs are considered in Chapter Six. Chapter Seven deals with some special situations and Weighing designs are dis cussed in Chapter Eight. We have endeavoured to include all the major developments that have taken place in the last three decades. The book should be of use to research workers in several areas including combinatorics as well as to the experimenters in diverse fields of applications. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper ties. We believe, this will be adequate for the experimenters.
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 Contributions to the Theory of Generalized Block Designs written by Muhammad Shafiq and published by . This book was released on 1978 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory and Application of Uniform Experimental Designs written by Kai-Tai Fang and published by Springer. This book was released on 2018-10-02 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides necessary knowledge for readers interested in developing the theory of uniform experimental design. It discusses measures of uniformity, various construction methods of uniform designs, modeling techniques, design and modeling for experiments with mixtures, and the usefulness of the uniformity in block, factorial and supersaturated designs. Experimental design is an important branch of statistics with a long history, and is extremely useful in multi-factor experiments. Involving rich methodologies and various designs, it has played a key role in industry, technology, sciences and various other fields. A design that chooses experimental points uniformly scattered on the domain is known as uniform experimental design, and uniform experimental design can be regarded as a fractional factorial design with model uncertainty, a space-filling design for computer experiments, a robust design against the model specification, and a supersaturated design and can be applied to experiments with mixtures.
Download or read book Design Theory written by and published by World Scientific. This book was released on 2009 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."-
Download or read book Theory of Factorial Design written by Ching-Shui Cheng and published by CRC Press. This book was released on 2016-04-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together both new and old results, Theory of Factorial Design: Single- and Multi-Stratum Experiments provides a rigorous, systematic, and up-to-date treatment of the theoretical aspects of factorial design. To prepare readers for a general theory, the author first presents a unified treatment of several simple designs, including completely randomized designs, block designs, and row-column designs. As such, the book is accessible to readers with minimal exposure to experimental design. With exercises and numerous examples, it is suitable as a reference for researchers and as a textbook for advanced graduate students. In addition to traditional topics and a thorough discussion of the popular minimum aberration criterion, the book covers many topics and new results not found in existing books. These include results on the structures of two-level resolution IV designs, methods for constructing such designs beyond the familiar foldover method, the extension of minimum aberration to nonregular designs, the equivalence of generalized minimum aberration and minimum moment aberration, a Bayesian approach, and some results on nonregular designs. The book also presents a theory that provides a unifying framework for the design and analysis of factorial experiments with multiple strata (error terms) arising from complicated structures of the experimental units. This theory can be systematically applied to various structures of experimental units instead of treating each on a case-by-case basis.
Download or read book A Modern Theory of Factorial Design written by Rahul Mukerjee and published by Springer Science & Business Media. This book was released on 2007-01-15 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last twenty years have witnessed a significant growth of interest in optimal factorial designs, under possible model uncertainty, via the minimum aberration and related criteria. This book gives, for the first time in book form, a comprehensive and up-to-date account of this modern theory. Many major classes of designs are covered in the book. While maintaining a high level of mathematical rigor, it also provides extensive design tables for research and practical purposes. Apart from being useful to researchers and practitioners, the book can form the core of a graduate level course in experimental design.
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.
Download or read book Combinatorial Design Theory written by C.J. Colbourn and published by Elsevier. This book was released on 2011-09-22 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.
Download or read book Optimal Block Designs Revisited written by Friedrich Pukelsheim and published by . This book was released on 1993 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pretense Design written by Per Mollerup and published by MIT Press. This book was released on 2019-04-23 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: How some design appears to be something that it is not—by beautifying, amusing, substituting, or deceiving. Pretense design pretends to be something that it is not. Pretense design includes all kinds of designed objects: a pair of glasses that looks like a fashion accessory rather than a medical necessity, a hotel in Las Vegas that simulates a Venetian ambience complete with canals and gondolas, boiler plates that look like steel but are vinyl. In this book, Danish designer Per Mollerup defines and describes a ubiquitous design category that until now has not had a name: designed objects with an intentional discrepancy between surface and substance, between appearance and reality. Pretense design, he shows us, is a type of material rhetoric; it is a way for physical objects to speak persuasively, most often to benefit users but sometimes to deceive them. After explaining the means and the meanings of pretense design, Mollerup describes four pretense design applications, providing a range of examples for each: beautification, amusement, substitution, and deception. Beautification, he explains, includes sunless tanning, high heels, and even sporty accessories for a family car. Amusement includes forms of irrational otherness—columns that don't hold anything up, an old building's façade that hides a new building, a new Chinese town that mimics an old European town. Substitution pretends to be a natural thing: plastic laminate is a substitute for wood, Corian a substitute for marble, and prosthetics substitute for human organs. Deception doesn't just bend the truth; it suspends it. Soldiers wear camouflage to hide; hunters use decoys to attract their prey; malware hides in a harmless program only to wreak havoc on a user's computer. With Pretense Design, Per Mollerup adds a new concept to design thinking.
Download or read book Graph Theory Coding Theory and Block Designs written by Peter Jephson Cameron and published by . This book was released on 1975 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are notes deriving from lecture courses given by the authors in 1973 at Westfield College, London. The lectures described the connection between the theory of t-designs on the one hand, and graph theory on the other. A feature of this book is the discussion of then-recent construction of t-designs from codes. Topics from a wide range of finite combinatorics are covered and the book will interest all scholars of combinatorial theory.
Download or read book Algorithms in Combinatorial Design Theory written by C.J. Colbourn and published by Elsevier. This book was released on 1985-01-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.
Download or read book Contemporary Design Theory written by Jeffrey H. Dinitz and published by John Wiley & Sons. This book was released on 1992-08-04 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.
Download or read book Ordering Block Designs written by Megan Dewar and published by Springer Science & Business Media. This book was released on 2012-08-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
