George E. P. Box & Norman R. Draper 
Response Surfaces, Mixtures, and Ridge Analyses 

The authority on building empirical models and the fitting of such
surfaces to data–completely updated and revised

Revising and updating a volume that represents the essential
source on building empirical models, George Box and Norman
Draper–renowned authorities in this field–continue 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
circumstances. This unique, fully developed coverage of ridge
analysis–a technique for exploring quadratic response
surfaces including surfaces in the space of mixture ingredients
and/or subject to linear restrictions–includes MINITAB®
routines for performing the calculations for any number of
dimensions.

Many additional figures are included in the new edition, and new
exercises (many based on data from published papers) offer insight
into the methods used. The exercises and their solutions provide a
variety of supplementary examples of response surface use, forming
an extremely important component of the text.

Response Surfaces, Mixtures, and Ridge Analyses, Second Edition
presents material in a logical and understandable arrangement and
includes six new chapters covering an up-to-date presentation of
standard ridge analysis (without restrictions); design and analysis
of mixtures experiments; ridge analysis methods when there are
linear restrictions in the experimental space including the
mixtures experiments case, with or without further linear
restrictions; and canonical reduction of second-order response
surfaces in the foregoing general case.

Additional features in the new edition include:

* New exercises with worked answers added throughout

* An extensive revision of Chapter 5: Blocking and Fractionating
2k Designs

* Additional discussion on the projection of two-level designs
into lower dimensional spaces

This is an ideal reference for researchers as well as a primary
text for Response Surface Methodology graduate-level courses and a
supplementary text for Design of Experiments courses at the
upper-undergraduate and beginning-graduate levels.

विषयसूची

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.

लेखक के बारे में

GEORGE E. P. BOX, Ph D, 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 Ph D 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.