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.

This is the first book on the subject since its introduction more than fifty years ago, and it can be used as a graduate text or as a reference work. It features all of the key results, many very useful tables, and a large number of research problems. Contents: Intro.; Rao's inequalities and improvements; Orthogonal arrays and Galois fields; Orthogonal arrays and error-correcting codes; Construction of orthogonal arrays from codes; Orthogonal arrays and difference schemes;.

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.

In the completely revised second edition, additional chapters and more case studies add to the clear, simple, and essentially non-mathematical presentation of the basic concepts, techniques, and applications of the renowned Taguchi approach. This practical guide introduces the fundamentals of Taguchi experimental design and shows engineers how to design, analyze, and interpret experiments for a wide range of common products and processes. What Readers Are Saying "...a clear, step-by-step guide to the Taguchi design of experiments method. The careful descriptions, calculations, and examples demonstrate the versatility of these practical and powerful tools." —Fred Schenkelberg, Consultant, FMS Reliability, Los Gatos, California "Dr. Roy presents the theory and relates it to practical examples, explaining difficult concepts in an understandable manner. This is an easy-to-read, right-on-the-mark guide to understanding and applying Taguchi robust design and DOE. Readers will find these techniques extremely useful, practical, and easily applied to the daily job." —George Li, Process Improvement Manager, Research in Motion, Waterloo, Ontario, Canada "The book has a detailed discussion of Taguchi methods that are not covered in great detail in many books on DOE." —Frederick H. Long, President, Spectroscopic Solutions, LLC, Randolph, New Jersey "Dr. Roy's name is instantly associated with Taguchi methodologies in the manufacturing industries. His skill set is also being recognized for project management instruction. The new edition includes more easy-to-follow descriptions and examples." —Andrea Stamps, Engineering Specialist, Six Sigma Master Black Belt, General Dynamics, Southfield, Michigan "Research engineers, process development engineers, pilot plant engineers, design engineers, national research labs and academic research laboratories should use this book extensively. It's a practical textbook on how to maximize output with minimal use of resources." —Dr. Naresh Mahamuni, Research Associate, North Carolina A&T University, Greensboro, North Carolina "Dr. Roy has many years of practical experience helping engineers understand and improve their engineering, reliability, and problem-solving skills using Dr. Taguchi's ideas. He anticipates questions engineers would ask and provides information exactly when it is needed." —Larry R. Smith, Quality and Reliability Manager (retired), Ford Motor Co., Dearborn, Michigan "A large number of examples support the contents. Case studies are enumerated, which is a strength of the book." —Dr. Pradeep Kumar, Professor and Head, Dept. of Mechanical and Industrial Engineering, IIT Roorkee, Uttarakhand, India "Dr. Roy's book lists many application examples that can help engineers use the Taguchi method effectively." —Dr. Side Zhao, Control Engineer, NACCO Materials Handling Group, Portland, Oregon "The author's experience on the topic is what makes this book very useful as a principal reference in teaching the Taguchi method in quality engineering." —Dr. Carlos Diaz Ramos, Research Professor, Instituto Tecnologico de Orizaba and Universidad Veracruzana, Mexico "The author is able to explain concepts in a very knowledgeable yet down-to-earth and systematic manner. The material is very well organized." —Kush Shah, Manager, Alternative Propulsion Technology Quality, General Motors, LLC, Pontiac, Michigan "This book is a valuable introductory text in Taguchi methods with a number of illustrative examples and case studies that make the concepts clearer than books with theory only." —Dr. R. Mahalinga Iyer, Senior Lecturer, Queensland University of Technology, Brisbane, Queensland, Australia.

Design of experiments (DOE) is an off-line quality assurance technique used to achieve best performance of products and processes. This book covers the basic ideas, terminology, and the application of techniques necessary to conduct a study using DOE. The text is divided into two parts—Part I (Design of Experiments) and Part II (Taguchi Methods). Part I (Chapters 1–8) begins with a discussion on basics of statistics and fundamentals of experimental designs, and then, it moves on to describe randomized design, Latin square design, Graeco-Latin square design. In addition, it also deals with statistical model for a two-factor and three-factor experiments and analyses 2k factorial, 2k-m fractional factorial design and methodology of surface design. Part II (Chapters 9–16) discusses Taguchi quality loss function, orthogonal design, objective functions in robust design. Besides, the book explains the application of orthogonal arrays, data analysis using response graph method/analysis of variance, methods for multi-level factor designs, factor analysis and genetic algorithm. This book is intended as a text for the undergraduate students of Industrial Engineering and postgraduate students of Mechtronics Engineering, Mechanical Engineering, and Statistics. In addition, the book would also be extremely useful for both academicians and practitioners KEY FEATURES : Includes six case studies of DOE in the context of different industry sector. Provides essential DOE techniques for process improvement. Introduces simple graphical methods for reducing time taken to design and develop products.

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 Fully updated to reflect the major progress in the use of statistically designed experiments for product and process improvement, Experiments, Second Edition introduces some of the newest discoveries—and sheds further light on existing ones—on the design and analysis of experiments and their applications in system optimization, robustness, and treatment comparison. Maintaining the same easy-to-follow style as the previous edition while also including modern updates, this book continues to present a new and integrated system of experimental design and analysis that can be applied across various fields of research including engineering, medicine, and the physical sciences. The authors modernize accepted methodologies while refining many cutting-edge topics including robust parameter design, reliability improvement, analysis of non-normal data, analysis of experiments with complex aliasing, multilevel designs, minimum aberration designs, and orthogonal arrays. Along with a new chapter that focuses on regression analysis, the Second Edition features expanded and new coverage of additional topics, including: Expected mean squares and sample size determination One-way and two-way ANOVA with random effects Split-plot designs ANOVA treatment of factorial effects Response surface modeling for related factors 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, Second 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.

Provides an introduction to the diverse subject area of experimental design, with many practical and applicable exercises to help the reader understand, present and analyse the data. The pragmatic approach offers technical training for use of designs and teaches statistical and non-statistical skills in design and analysis of project studies throughout science and industry. - Provides an introduction to the diverse subject area of experimental design and includes practical and applicable exercises to help understand, present and analyse the data - Offers technical training for use of designs and teaches statistical and non-statistical skills in design and analysis of project studies throughout science and industry - Discusses one-factor designs and blocking designs, factorial experimental designs, Taguchi methods and response surface methods, among other topics

In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical tool cannot be overemphasized. Differential geometry is mainly confined to the investigation of the geometric properties of manifolds in three-dimensional Euclidean space R3 and in real spaces of higher dimension.Extending the theoretical framework to complex spaces, this invaluable book presents a summary of those results of differential geometry which are of practical interest in the study of linear, planar and three-dimensional array geometries.

Fulfill the practical potential of DOE-with a powerful, 16-step approach for applying the Taguchi method Over the past decade, Design of Experiments (DOE) has undergone great advances through the work of the Japanese management guru Genechi Taguchi. Yet, until now, books on the Taguchi method have been steeped in theory and complicated statistical analysis. Now this trailblazing work translates the Taguchi method into an easy-to-implement 16-step system. Based on Ranjit Roy's successful Taguchi training course, this extensively illustrated book/CD-ROM package gives readers the knowledge and skills necessary to understand and apply the Taguchi method to engineering projects-from theory and applications to hands-on analysis of the data. It is suitable for managers and technicians without a college-level engineering or statistical background, and its self-study pace-with exercises included in each chapter-helps readers start using Taguchi DOE tools on the job quickly. Special features include: * An accompanying CD-ROM of Qualitek-4 software, which performs calculations and features all example experiments described in the book * Problem-solving exercises relevant to actual engineering situations, with solutions included at the end of the text * Coverage of two-, three-, and four-level factors, analysis of variance, robust designs, combination designs, and more Engineers and technical personnel working in process and product design-as well as other professionals interested in the Taguchi method-will find this book/CD-ROM a tremendously important and useful asset for making the most of DOE in their work.