Description
Book SynopsisThe authority on building empirical models and the fitting of such surfaces to datacompletely updated and revised
Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draperrenowned authorities in this fieldcontinue 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
Trade Review
“The book can be used as a primary text for graduate courses in response surface methodology, as a supplementary text for advanced undergraduate and beginning graduate courses in design of experiments, and as a reference for researchers.” (SciTech Book Reviews, June 2007)
"This book should be mandatory on the shelves of all statisticians. If you own the first edition, it is time to update it with this latest version." (Journal of the American Statistical Association, June 2008)
"…an important reference source." (International Statistical Review, 2007)
Table of ContentsPreface to the Second Edition.
Chapter 1. Introduction to response Surface Methodology.
Chapter 2. The Use of Graduating Functions.
Chapter 3. Least Squares for Response Surface Work.
Chapter 4. Factorial Designs at Two Levels.
Chapter 5. Blocking and Fractionating 2k Factorial Designs.
Chapter 6. The Use of Steepest Ascent to Achieve Process Improvement.
Chapter 7. Fitting Second-Order Models.
Chapter 8. Adequacy of Estimation and the Use of Transformation.
Chapter 9. Exploration of Maxima and Ridge Systems with Second-Oder Response Surfaces.
Chapter 10. Occurrence and Elucidation of Ridge Systems, I.
Chapter 11. Occurrence and Elucidation of Ridge Systems, II.
Chapter 12. Ridge Analysis for Examining Second-Order Fitted Models, Unrestricted Case.
Chapter 13. Design Aspects of Variance, Bias, and Lack of Fit.
Chapter 14. Variance-Optimal Designs.
Chapter 15. Practical Choice of a Response Surface Design.
Chapter 16. Response Surfaces for Mixture Ingredients.
Chapter 17. Mixture Experiments in Restricted Regions.
Chapter 18. Other Mixture Methods and Topics.
Chapter 19. Ridge Analysis for Examining Second-Order Fitted Models when there Are Linear Restrictions on the Experimental region.
Chapter 20. Canonical Reduction of Second-Order Fitted Models Subject to Linear Restrictions.
Answers to Exercises.
Tables.
Bibliography.
Author Index.
Subject Index.