Orthogonal Arrays: Theory and Applications (Springer Series in Statistics)

This book is a great collaboration. Hedayat is a statistician who has been a major developer of orthogonal arrays for statistical experimental designs, Stufken was a student of Hedayat who has worked with him on this research. Sloane comes from the mathematics of codign theory where he has developed orthogonal arrays to produce error correcting codes.Orthogonal arrays were introduced by C. R. Rao in the 1940s. He developed them for applications to experiments. He also produced the seminal work and some important inequalities constraints for such arrays. Rao provides a great endorsement for this book in the forward he writes.Many statistical texts on experimental designs include orthogonal arrays. Some books on coding theory include them also. However this is the first book entirely dedicated to orhtogonal arrays and their properties. Thus are married the major and diverse areas of applications. Orthogonal arrays are also of interest to mathematicians who work in abstract algebra because of the connection between the orthogonal arrays and Galois fields.The authors provide an historical account of the field, the many applications including the revival in the 1980s through the robust designs of Taguchi whose fractional factorial experiments were all orthogonal designs.The authors presentation is clear. They provide a clear definition of orthogonal arrays and give a thorough and up-to-date account of the literature. The text contains over 650 references. This is a must have book for anyone specializing in coding theory or the construction of efficient statistical designs.