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.
· Introduction to response Surface Methodology.
· The Use of Graduating Functions.
· Least Squares for Response Surface Work.
· Factorial Designs at Two Levels.
· Blocking and Fractionating 2k Factorial Designs.
· The Use of Steepest Ascent to Achieve Process Improvement.
· Fitting Second-Order Models.
· Adequacy of Estimation and the Use of Transformation.
· Exploration of Maxima and Ridge Systems with Second-Oder Response Surfaces.
· Occurrence and Elucidation of Ridge Systems, I.
· Occurrence and Elucidation of Ridge Systems, II.
· Ridge Analysis for Examining Second-Order Fitted Models, Unrestricted Case.
· Design Aspects of Variance, Bias and Lack of Fit.
· Variance-Optimal Designs.
· Practical Choice of a Response Surface Design.
· Response Surfaces for Mixture Ingredients.
· Mixture Experiments in Restricted Regions.
· Other Mixture Methods and Topics.
· Ridge Analysis for Examining Second-Order Fitted Models when there are Linear Restrictions on the Experimental region.
· Canonical Reduction of Second-Order Fitted Models Subject to Linear Restrictions.
· Answers to Exercises.
· Author Index.
· Subject Index.
A reference for researchers of the subject-matter; a supplementary text for design of experiments courses at the Upper-undergraduate and beginning-Graduate levels; a primary text for surface methodology courses at the Graduate level; academic and corporate library use.
George E. P. Box is Ronald Aylmer Fisher Professor Emeritus of Statistics and Industrial Engineering at the University of Wisconsin-Madison.
Norman Draper is Professor Emeritus of Statistics in the Department of Statistics at the University of Wisconsin, Madison.