Download or read book New Properties of Orthogonal Arrays and Their Statistical Applications written by A. S. Hedayat and published by . This book was released on 1986 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional factorial designs are among the most utilized statistical designs by practioners. In a series of three papers Rao (1946, 1947, 1949) identified special types of fractions with a great deal of symmetry and many desirable statistical properties. These special fractions are now known as orthogonal arrays. Numerous beautiful results have been obtained by both statisticians and mathematicians on this topic. These results are published in a wide variety of journals and presented in many different styles. In their forthcoming research monograph Hedayat and Stufken (1986) have presented the various results on this fascinating subject in a unified and comprehensive way. This paper is divided into four sections. Sections 2 reviews basic definitions and terminology of the subject. Section 3 presents an efficient way of preparing design and information matrices associated with orthogonal arrays under orthogonal polynomial models. Section 4 contains a new result and a new concept. The new result states that with orthogonal arrays of strength t we can orthogonally estimate other parametric vectors besides the one which is advocated in the literature. The author has also identified some types of orthogonal arrays which are somewhere between orthogonal arrays of strength t and t + 1. These are called flexible orthogonal arrays of strength t. Practical applications of such arrays are also pointed out. These results are very useful in preparing line graphs of Taguchi for orthogonal arrays.
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.
Download or read book Statistical Design and Analysis of Industrial Experiments written by Ghosh and published by CRC Press. This book was released on 1990-05-25 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Response Surfaces Mixtures and Ridge Analyses written by George E. P. Box and published by John Wiley & Sons. This book was released on 2007-01-22 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authority on building empirical models and the fitting of such surfaces to data—completely updated and revised Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draper—renowned authorities in this field—continue to set the standard with the Second Edition of Response Surfaces, Mixtures, and Ridge Analyses, providing timely new techniques, new exercises, and expanded material. A comprehensive introduction to building empirical models, this book presents the general philosophy and computational details of a number of important topics, including factorial designs at two levels; fitting first and second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Substantially rewritten, the Second Edition reflects the emergence of ridge analysis of second-order response surfaces as a very practical tool that can be easily applied in a variety of circumstances. This unique, fully developed coverage of ridge analysis—a technique for exploring quadratic response surfaces including surfaces in the space of mixture ingredients and/or subject to linear restrictions—includes MINITAB® routines for performing the calculations for any number of dimensions. Many additional figures are included in the new edition, and new exercises (many based on data from published papers) offer insight into the methods used. The exercises and their solutions provide a variety of supplementary examples of response surface use, forming an extremely important component of the text. Response Surfaces, Mixtures, and Ridge Analyses, Second Edition presents material in a logical and understandable arrangement and includes six new chapters covering an up-to-date presentation of standard ridge analysis (without restrictions); design and analysis of mixtures experiments; ridge analysis methods when there are linear restrictions in the experimental space including the mixtures experiments case, with or without further linear restrictions; and canonical reduction of second-order response surfaces in the foregoing general case. Additional features in the new edition include: New exercises with worked answers added throughout An extensive revision of Chapter 5: Blocking and Fractionating 2k Designs Additional discussion on the projection of two-level designs into lower dimensional spaces This is an ideal reference for researchers as well as a primary text for Response Surface Methodology graduate-level courses and a supplementary text for Design of Experiments courses at the upper-undergraduate and beginning-graduate levels.
Download or read book Statistics in Industry written by Ravindra Khattree and published by Gulf Professional Publishing. This book was released on 2003-07-18 with total page 1224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an exposition of topics in industrial statistics. It serves as a reference for researchers in industrial statistics/industrial engineering and a source of information for practicing statisticians/industrial engineers. A variety of topics in the areas of industrial process monitoring, industrial experimentation, industrial modelling and data analysis are covered and are authored by leading researchers or practitioners in the particular specialized topic. Targeting the audiences of researchers in academia as well as practitioners and consultants in industry, the book provides comprehensive accounts of the relevant topics. In addition, whenever applicable ample data analytic illustrations are provided with the help of real world data.
Download or read book Some Mathematical Results on Incomplete Orthogonal Arrays written by A. S. Hedayat and published by . This book was released on 1986 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incomplete orthogonal arrays are known to have desirable statistical properties as designs in factorial experiments. Apart from Maurin's paper very few results are known on their mathematical aspects which are meaningful in statistical applications. Inspired by the results of Maurin we study in this paper some mathematical aspects of incomplete orthogonal arrays with arbitrary strength. We start by giving a formal definition of an incomplete orthogonal array. Throughout this paper S will denote a set of s symbols, while H will be a subset of S of cardinality h.
Download or read book Technical Reports Awareness Circular TRAC written by and published by . This book was released on 1987-04 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book New Perspectives in Statistical Modeling and Data Analysis written by Salvatore Ingrassia and published by Springer Science & Business Media. This book was released on 2011-06-29 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides recent research results in data analysis, classification and multivariate statistics and highlights perspectives for new scientific developments within these areas. Particular attention is devoted to methodological issues in clustering, statistical modeling and data mining. The volume also contains significant contributions to a wide range of applications such as finance, marketing, and social sciences. The papers in this volume were first presented at the 7th Conference of the Classification and Data Analysis Group (ClaDAG) of the Italian Statistical Society, held at the University of Catania, Italy.
Download or read book Government Reports Announcements Index written by and published by . This book was released on 1992 with total page 1284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Orthogonal Arrays of Strength Four and Their Applications written by Rita Zemach and published by . This book was released on 1965 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 0 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.
Download or read book Air Force Research Resum s written by and published by . This book was released on with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistica Sinica written by and published by . This book was released on 2002 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methodology and Applications of Statistics written by Barry C. Arnold and published by Springer Nature. This book was released on 2022-01-04 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to one of the most outstanding researchers in the field of statistics, this volume in honor of C.R. Rao, on the occasion of his 100th birthday, provides a bird’s-eye view of a broad spectrum of research topics, paralleling C.R. Rao’s wide-ranging research interests. The book’s contributors comprise a representative sample of the countless number of researchers whose careers have been influenced by C.R. Rao, through his work or his personal aid and advice. As such, written by experts from more than 15 countries, the book’s original and review contributions address topics including statistical inference, distribution theory, estimation theory, multivariate analysis, hypothesis testing, statistical modeling, design and sampling, shape and circular analysis, and applications. The book will appeal to statistics researchers, theoretical and applied alike, and PhD students. Happy Birthday, C.R. Rao!
Download or read book Latin Squares and Their Applications written by A. Donald Keedwell and published by Elsevier. This book was released on 2015-07-28 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Latin Squares and Their Applications, Second edition offers a long-awaited update and reissue of this seminal account of the subject. The revision retains foundational, original material from the frequently-cited 1974 volume but is completely updated throughout. As with the earlier version, the author hopes to take the reader ‘from the beginnings of the subject to the frontiers of research’. By omitting a few topics which are no longer of current interest, the book expands upon active and emerging areas. Also, the present state of knowledge regarding the 73 then-unsolved problems given at the end of the first edition is discussed and commented upon. In addition, a number of new unsolved problems are proposed. Using an engaging narrative style, this book provides thorough coverage of most parts of the subject, one of the oldest of all discrete mathematical structures and still one of the most relevant. However, in consequence of the huge expansion of the subject in the past 40 years, some topics have had to be omitted in order to keep the book of a reasonable length. Latin squares, or sets of mutually orthogonal latin squares (MOLS), encode the incidence structure of finite geometries; they prescribe the order in which to apply the different treatments in designing an experiment in order to permit effective statistical analysis of the results; they produce optimal density error-correcting codes; they encapsulate the structure of finite groups and of more general algebraic objects known as quasigroups. As regards more recreational aspects of the subject, latin squares provide the most effective and efficient designs for many kinds of games tournaments and they are the templates for Sudoku puzzles. Also, they provide a number of ways of constructing magic squares, both simple magic squares and also ones with additional properties. Retains the organization and updated foundational material from the original edition Explores current and emerging research topics Includes the original 73 ‘Unsolved Problems’ with the current state of knowledge regarding them, as well as new Unsolved Problems for further study
Download or read book Experiments written by C. F. Jeff Wu and published by John Wiley & Sons. This book was released on 2021-03-30 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.
