Synopses & Reviews
This is the first book on the subject since its of America and received the M.A.A. Chauvenet Prize in 1979. His design of experiments program Gosset is widely used in industry. His other books include Theory of Error-Correcting Codes (1979) with F.J. MacWilliams; Sphere-Packing, Lattices and Groups (1988) with J.H. Conway; Encyclopedia of Integer Sequences (1995) with S. Plouffe. His On-Line Encyclopedia of the Integer Sequences receives thousands of visits each day. John Stufken is a Professor Statistics at Iowa State University where he has been since 1988. His research interest is primarily in design of experiments. Professor Stufken is a member of the editorial boards of Communications in Statistics and the Journal of Statistical Planning and Inference. He was a 1988 recipient of the M.G. Michael Award for Excellence in Research from the Franklin College of Arts and Sciences at the University of Georgia.
Review
From a review: MATHEMATICAL REVIEWS "The book is well written and nice to read. It contains a wealth of concrete examples, many exercises, some research problems and a generally quite thorough discussion of the available literature. I can recommend it to anybody interested in discrete mathematics, in particular designs and codes, or in design of experiements."
Synopsis
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.
Description
Includes bibliographical references (p. 363-405) and indexes.
Table of Contents
Introduction.- 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 and Hadamard Matrices.- Orthogonal Arrays and Latin Squares.- Mixed Orthogonal Arrays.- Further Constructions and Related Structures.- Statistical Application of Orthogonal Arrays.- Tables of Orthogonal Arrays.