Response Surfaces, Mixtures, and Ridge Analyses (eBook)

GEORGE E. P. BOX, PhD, DSc, FRS, is Ronald Aylmer Fisher Professor Emeritus of Statistics and Industrial Engineering at the University of Wisconsin-Madison. He is a Fellow of the Royal Society, an Honorary Fellow and Shewhart and Deming Medalist of the American Society for Quality, and was awarded the Guy Medal in Gold from the Royal Statistical Society. He is also the recipient of the Samuel S. Wilks Memorial Medal of the American Statistical Association. NORMAN DRAPER is Professor Emeritus of Statistics in the Department of Statistics at the University of Wisconsin, Madison. He received his PhD from the University of North Carolina, Chapel Hill, and has published dozens of papers in professional journals. He is the coauthor (with Harry Smith) of Applied Regression Analysis, Third Edition, published by Wiley.

Preface 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 2¯k
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.

"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)