Response Surfaces, Mixtures, and Ridge Analyses

The authority on building empirical models and the fitting of suchsurfaces to data--completely updated and revisedRevising and updating a volume that represents the essentialsource on building empirical models, George Box and NormanDraper--renowned authorities in this field--continue toset the standard with the Second Edition of Response Surfaces,Mixtures, and Ridge Analyses, providing timely new techniques, newexercises, and expanded material.A comprehensive introduction to building empirical models, thisbook presents the general philosophy and computational details of anumber of important topics, including factorial designs at twolevels; fitting first and second-order models; adequacy ofestimation and the use of transformation; and occurrence andelucidation of ridge systems.Substantially rewritten, the Second Edition reflects theemergence of ridge analysis of second-order response surfaces as avery practical tool that can be easily applied in a variety ofcircumstances. This unique, fully developed coverage of ridgeanalysis--a technique for exploring quadratic responsesurfaces including surfaces in the space of mixture ingredientsand/or subject to linear restrictions--includes MINITAB®routines for performing the calculations for any number ofdimensions.Many additional figures are included in the new edition, and newexercises (many based on data from published papers) offer insightinto the methods used. The exercises and their solutions provide avariety of supplementary examples of response surface use, formingan extremely important component of the text.Response Surfaces, Mixtures, and Ridge Analyses, Second Editionpresents material in a logical and understandable arrangement andincludes six new chapters covering an up-to-date presentation ofstandard ridge analysis (without restrictions); design and analysisof mixtures experiments; ridge analysis methods when there arelinear restrictions in the experimental space including themixtures experiments case, with or without further linearrestrictions; and canonical reduction of second-order responsesurfaces 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 Fractionating2k Designs* Additional discussion on the projection of two-level designsinto lower dimensional spacesThis is an ideal reference for researchers as well as a primarytext for Response Surface Methodology graduate-level courses and asupplementary text for Design of Experiments courses at theupper-undergraduate and beginning-graduate levels.

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¯kFactorial Designs.Chapter 6. The Use of Steepest Ascent to Achieve ProcessImprovement.Chapter 7. Fitting Second-Order Models.Chapter 8. Adequacy of Estimation and the Use ofTransformation.Chapter 9. Exploration of Maxima and Ridge Systems withSecond-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 FittedModels, Unrestricted Case.Chapter 13. Design Aspects of Variance, Bias, and Lack ofFit.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 FittedModels when there Are Linear Restrictions on the Experimentalregion.Chapter 20. Canonical Reduction of Second-Order Fitted ModelsSubject to Linear Restrictions.Answers to Exercises.Tables.Bibliography.Author Index.Subject Index.