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Author : Jung-Chao Wang
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (89 download)
Download or read book Orthogonal Arrays and Nearly Orthogonal Arrays with Mixed Levels written by Jung-Chao Wang and published by . This book was released on 1989 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ryan Lekivetz
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (793 download)
Download or read book A New Algorithm for Obtaining Mixed-level Orthogonal and Nearly-orthogonal Arrays written by Ryan Lekivetz and published by . This book was released on 2006 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal arrays are frequently used in industrial experiments for quality and productivity improvement. Due to run-size constraints and level combinations, an orthogonal array may not exist, in which case a nearly-orthogonal array can be used. Orthogonal and nearly-orthogonal arrays can be difficult to find. This project will introduce a new algorithm for the construction of orthogonal arrays and nearly-orthogonal arrays with desirable statistical properties, and compare the new algorithm to a preexisting algorithm.
Author : A.S. Hedayat
Publisher : Springer Science & Business Media
ISBN 13 : 1461214785
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)
Download or read book Orthogonal Arrays written by A.S. Hedayat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal arrays have played a vital role in improving the quality of products manufactured throughout the world. This first book on the subject since its introduction more than fifty years ago serves as a key resource to this area of designing experiments. Most of the arrays obtained by the methods in this book are available electronically. Anyone running experiments - whether in a chemistry lab or a manufacturing plant, or in agricultural or medical research - will find this book useful.
Author : N. J. A. Sloane
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (897 download)
Download or read book A Linear Programming Bound for Orthogonal Arrays with Mixed Levels written by N. J. A. Sloane and published by . This book was released on 1995 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chang-xing Ma
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (441 download)
Download or read book On Construction of Orthogonal and Nearly Orthogonal Arrays written by Chang-xing Ma and published by . This book was released on 1998 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thellamorage Dona Darsha Kalpani Perera
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)
Download or read book Nearly Orthogonal Arrays of Strength Three written by Thellamorage Dona Darsha Kalpani Perera and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main effects of a factorial experiment can be estimated with minimum variance and zero bias using orthogonal arrays (OAs) of strength three. However, such arrays require the run size to be a multiple of eight. When the run size is not a multiple of eight, OAs of strength three do not exist. In the presence of non-negligible two-factor interactions, OAs of strength two with minimum G2-aberration are available as variance-optimal designs that have the minimum bias among non-isomorphic OAs of strength two. Such designs only require the run size to be a multiple of four. Best fold-over designs have zero bias and provide the minimum variance among all fold-over designs. We examine the use of nearly orthogonal arrays of strength three for estimating main effects in the presence of nonnegligible two-factor interactions. This provides an approach that is capable of balancing the consideration of variance and bias. Our method is compared with the two existing classes of designs.
Author : S. Hedayat
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (897 download)
Download or read book On the Construction and Existence of Orthogonal Arrays with 3 Levels and Indexes 1 and 2 written by S. Hedayat and published by . This book was released on 1996 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. F. Jeff Wu
Publisher : John Wiley & Sons
ISBN 13 : 1119470129
Total Pages : 736 pages
Book Rating : 4.1/5 (194 download)
Download or read book Experiments written by C. F. Jeff Wu and published by John Wiley & Sons. This book was released on 2021-02-24 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition: "If you ... want an up-to-date, definitive reference written by authors who have contributed much to this field, then this book is an essential addition to your library." —Journal of the American Statistical Association A COMPREHENSIVE REVIEW OF MODERN EXPERIMENTAL DESIGN Experiments: Planning, Analysis, and Optimization, Third Edition provides a complete discussion of modern experimental design for product and process improvement—the design and analysis of experiments and their applications for system optimization, robustness, and treatment comparison. While maintaining the same easy-to-follow style as the previous editions, this book continues to present an integrated system of experimental design and analysis that can be applied across various fields of research including engineering, medicine, and the physical sciences. New chapters provide modern updates on practical optimal design and computer experiments, an explanation of computer simulations as an alternative to physical experiments. Each chapter begins with a real-world example of an experiment followed by the methods required to design that type of experiment. The chapters conclude with an application of the methods to the experiment, bridging the gap between theory and practice. The authors modernize accepted methodologies while refining many cutting-edge topics including robust parameter design, analysis of non-normal data, analysis of experiments with complex aliasing, multilevel designs, minimum aberration designs, and orthogonal arrays. The third edition includes: Information on the design and analysis of computer experiments A discussion of practical optimal design of experiments An introduction to conditional main effect (CME) analysis and definitive screening designs (DSDs) New exercise problems This book includes valuable exercises and problems, allowing the reader to gauge their progress and retention of the book's subject matter as they complete each chapter. Drawing on examples from their combined years of working with industrial clients, the authors present many cutting-edge topics in a single, easily accessible source. Extensive case studies, including goals, data, and experimental designs, are also included, and the book's data sets can be found on a related FTP site, along with additional supplemental material. Chapter summaries provide a succinct outline of discussed methods, and extensive appendices direct readers to resources for further study. Experiments: Planning, Analysis, and Optimization, Third Edition is an excellent book for design of experiments courses at the upper-undergraduate and graduate levels. It is also a valuable resource for practicing engineers and statisticians.
Author : Aloke Dey
Publisher : John Wiley & Sons
ISBN 13 : 0470317825
Total Pages : 236 pages
Book Rating : 4.4/5 (73 download)
Download or read book Fractional Factorial Plans written by Aloke Dey and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-stop reference to fractional factorials and relatedorthogonal arrays. Presenting one of the most dynamic areas of statistical research,this book offers a systematic, rigorous, and up-to-date treatmentof fractional factorial designs and related combinatorialmathematics. Leading statisticians Aloke Dey and Rahul Mukerjeeconsolidate vast amounts of material from the professionalliterature--expertly weaving fractional replication, orthogonalarrays, and optimality aspects. They develop the basic theory offractional factorials using the calculus of factorial arrangements,thereby providing a unified approach to the study of fractionalfactorial plans. An indispensable guide for statisticians inresearch and industry as well as for graduate students, FractionalFactorial Plans features: * Construction procedures of symmetric and asymmetric orthogonalarrays. * Many up-to-date research results on nonexistence. * A chapter on optimal fractional factorials not based onorthogonal arrays. * Trend-free plans, minimum aberration plans, and search andsupersaturated designs. * Numerous examples and extensive references.
Author : Aditya P Mathur
Publisher : Pearson Education India
ISBN 13 : 9332517657
Total Pages : 728 pages
Book Rating : 4.3/5 (325 download)
Download or read book Foundations of Software Testing, 2/e written by Aditya P Mathur and published by Pearson Education India. This book was released on 2013 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of Foundations of Software Testing is aimed at the undergraduate, the graduate students and the practicing engineers. It presents sound engineering approaches for test generation, ion, minimization, assessment, and enhancement. Using numerous examples, it offers a lucid description of a wide range of simple to complex techniques for a variety of testing-related tasks. It also discusses the comparative analyses of commercially available testing tools to facilitate the tool ion.
Author : A S Hedayat
Publisher :
ISBN 13 : 9781461214793
Total Pages : 444 pages
Book Rating : 4.2/5 (147 download)
Download or read book Orthogonal Arrays written by A S Hedayat and published by . This book was released on 1999-06-22 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jose Manuel Andrade-Garda
Publisher : Royal Society of Chemistry
ISBN 13 : 0854041591
Total Pages : 315 pages
Book Rating : 4.8/5 (54 download)
Download or read book Basic Chemometric Techniques in Atomic Spectroscopy written by Jose Manuel Andrade-Garda and published by Royal Society of Chemistry. This book was released on 2009-06-15 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book for atomic spectroscopists to present the basic principles of experimental designs, optimization and multivariate regression. Multivariate regression is a valuable statistical method for handling complex problems (such as spectral and chemical interferences) which arise during atomic spectrometry. However, the technique is underused as most spectroscopists do not have time to study the often complex literature on the subject. This practical introduction uses conceptual explanations and worked examples to give readers a clear understanding of the technique. Mathematics is kept to a minimum but, when required, is kept at a basic level.
Author : Kai-Tai Fang
Publisher : Springer
ISBN 13 : 9811320411
Total Pages : 312 pages
Book Rating : 4.8/5 (113 download)
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 312 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.
Author : I.N. Vuchkov
Publisher : Springer Science & Business Media
ISBN 13 : 9400900090
Total Pages : 521 pages
Book Rating : 4.4/5 (9 download)
Download or read book Quality Improvement with Design of Experiments written by I.N. Vuchkov and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Residualplots 74 Normaland half-normal plots 77 2. 3. 10. TRANSFORMATIONS OF VARIABLES 80 2. 3. 11. WEIGHTED LEAST SQUARES 82 2. 4. Bibliography 84 Appendix A. 2. 1. Basic equation ofthe analysis ofvariance 84 Appendix A. 2. 2. Derivation of the simplified formulae (2. 1 0) and (2. 11) 85 Appendix A. 2. 3. Basic properties ofleast squares estimates 86 Appendix A. 2. 4. Sums ofsquares for tests for lack offit 88 Appendix A. 2. 5. Properties ofthe residuals 90 3. DESIGN OF REGRESSION EXPERIMENTS 96 3. 1. Introduction 96 3. 2. Variance-optimality of response surface designs 98 3. 3. Two Ievel full factorial designs 106 3. 3. 1. DEFINITIONS AND CONSTRUCTION 106 3. 3. 2. PROPERTIES OF TWO LEVEL FULL FACTORIAL DESIGNS 109 3. 3. 3. REGRESSION ANALYSIS OF DAT A OBT AlNED THROUGH TWO LEVEL FULL F ACTORIAL DESIGNS 113 Parameter estimation 113 Effects of factors and interactions 116 Statistical analysis of individual effects and test for lack of fit 118 3. 4. Two Ievel fractional factorial designs 123 3. 4. 1. CONSTRUCTION OF FRACTIONAL F ACTORIAL DESIGNS 123 3. 4. 2. FITTING EQUATIONS TO DATA OBTAlNED BY FRACTIONAL F ACTORIAL DESIGNS 130 3. 5. Bloclung 133 3. 6. Steepest ascent 135 3. 7. Second order designs 142 3. 7. 1. INTRODUCTION 142 3. 7. 2. COMPOSITE DESIGNS 144 Rotatable central composite designs 145 D-optimal composite designs 146 Hartley' s designs 146 3. 7. 3.
Author : Guang Yang
Publisher : John Wiley & Sons
ISBN 13 : 0471715298
Total Pages : 533 pages
Book Rating : 4.4/5 (717 download)
Download or read book Life Cycle Reliability Engineering written by Guang Yang and published by John Wiley & Sons. This book was released on 2007-02-02 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the Lead Reliability Engineer for Ford Motor Company, Guangbin Yang is involved with all aspects of the design and production of complex automotive systems. Focusing on real-world problems and solutions, Life Cycle Reliability Engineering covers the gamut of the techniques used for reliability assurance throughout a product's life cycle. Yang pulls real-world examples from his work and other industries to explain the methods of robust design (designing reliability into a product or system ahead of time), statistical and real product testing, software testing, and ultimately verification and warranting of the final product's reliability
Author : Sung H. Park
Publisher : World Scientific
ISBN 13 : 9812778675
Total Pages : 558 pages
Book Rating : 4.8/5 (127 download)
Download or read book Robust Design for Quality Engineering and Six Sigma written by Sung H. Park and published by World Scientific. This book was released on 2008 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written primarily for engineers and researchers who use statistical robust design for quality engineering and Six Sigma, and for statisticians who wish to know about the wide range of applications of experimental design in industry. It is a valuable guide and reference material for students, managers, quality improvement specialists and other professionals interested in Taguchi's robust design methods as well as the implementation of Six Sigma. This book can also be useful to those who would like to learn about the role of Robust Design within the Six Sigma (Improve phase) methodology and Design for Six Sigma (DFSS) (Optimize) methodology. It combines classical experimental design methods with those of Taguchi's robust designs, demonstrating their prowess in DFSS and suggesting new directions for the development of statistical design and analysis.
Author : Ching-Shui Cheng
Publisher : CRC Press
ISBN 13 : 1466505583
Total Pages : 403 pages
Book Rating : 4.4/5 (665 download)
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.
