Response surfaces, mixtures, and ridge analyses. 2nd revised ed. of the book previously published under the title Empirical model-building and response surfaces. (English) Zbl 1267.62006

Wiley Series in Probability and Statistics. Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-05357-7/hbk; 978-0-470-07276-9/ebook). xiv, 857 p. (2007).
Publisher’s description: 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 \(2^k\) 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.
See the review of the first edition in [Zbl 0614.62104].


62-02 Research exposition (monographs, survey articles) pertaining to statistics
62J07 Ridge regression; shrinkage estimators (Lasso)
62K10 Statistical block designs
62K15 Factorial statistical designs
62K20 Response surface designs


Zbl 0614.62104


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