Response Surfaces, Mixtures, and Ridge Analyses / Edition 2

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Overview

This book introduces the general philosophy of a number of unique topics, including response surface methodology and details least squares for response surface work; factorial designs at two levels; fitting second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Some newer results are presented for the first time in this edition, inclusive of real-life exercises and their solutions.

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Editorial Reviews

From the Publisher
“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)

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Product Details

Meet the Author

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.

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Table of Contents

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 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.

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