The Optimal Design of Blocked and Split-Plot Experiments

ISBN-13: 9780387955155 / Angielski / Miękka / 2002 / 264 str.

Peter Goos

Opis

Quality has become an important source of competitive advantage for the modern company. Therefore, quality control has become one of its key ac tivities. Since the control of existing products and processes only allows moderate quality improvements, the optimal design of new products and processes has become extremely important. This is because the flexibility, which characterizes the design stage, allows the quality to be built in prod ucts and processes. In this way, substantial quality improvements can be achieved. An indispensable technique in the design stage of a product or a process is the statistically designed experiment for investigating the effect of sev eral factors on a quality characteristic. A number of standard experimental designs like, for instance, the factorial designs and the central compos ite designs have been proposed. Although these designs possess excellent properties, they can seldom be used in practice. One reason is that using standard designs requires a large number of observations and can therefore be expensive or time-consuming. Moreover, standard experimental designs cannot be used when both quantitative and qualitative factors are to be in vestigated or when the factor levels are subject to one or more constraints."

Recenzje

"Many books and papers discussing the blocking of experimental designs have been published since the appearance of the pioneer work of Ronald Fisher nearly a century ago. Unlike most of them, the author of the book approaches this topic as an application of the theory of optimum design. This is achieved without presenting too complex mathematical derivations of results, while those provided are clearly presented and easy to follow...A valuable addition to the literature on Design of Experiments." -Biometrics, June 2004

"The Optimal Design of Blocked and Split-Plot Experiments is a good overview of the techniques available in the optimal design of blocked and split-plot experiments, including the author's own great research in this field. The optimal design approach advocated in this book will help practitioners of statistics in setting up tailor-made experiments. It is also a good reference book for researchers and students in applied statistics." Techometrics, February 2005

Spis treści

Introduction * Advanced Topics in Optimal Design * Compound Symmetric Error Structure * Optimal Designs in the Presence of Random Block Effects * Optimal Designs for Quadratic Regression on One Variable and Blocks of Size Two * Constrained Split-Plot Designs * Optimal Split-Plot Designs in the Presence of Hard-to-Change Factors * Optimal Split-Plot Designs * Two-level Factorial and Fractional Factorial Designs

Blurb

This book provides a comprehensive treatment of the design of blocked and split-plot experiments, two types of experiments that are extremely popular in practice. The traget audience includes applied statisticians and academics. The optial design approach advocated in the book will help applied statisticians from industry, medicine, agriculture, chemistry, and many other fields of study in setting up tailor-made experiments. This is illustrated by a number of examples. The book also contains a theoretical background, a thorough review of the recent work in the area of blocked and split-plot experiments, and a number of interesting theoretical results.