Contents Notes |
'Response Surfaces, Mixtures, and Ridge Analyses' introduces the general philosophy of a number of unique topics, including response surface methodology and details least squares for response surface work. Some newer results are presented for the first time, inclusive of real-life exercises and their solutions. 1. Introduction to response surface methodology -- 2. The use of graduating functions -- 3. Least squares for response surface work -- 4. Factorial designs at two levels -- 5. Blocking and fractionating 2[superscript k] factorial designs -- 6. The use of steepest ascent to achieve process improvement -- 7. Fitting second-order models -- 8. Adequacy of estimation and the use of transformation -- 9. Exploration of maxima and ridge systems with second-order response surface -- 10. Occurrence and elucidation of ridge systems, I -- 11. Occurrence and elucidation of ridge systems, II -- 12. Ridge analysis for examining second-order fitted models, unrestricted case -- 13. Design aspects of variance, bias, and lack of fit -- 14. Variance-optimal designs -- 15. Practical choice of a response surface design -- 16. Response surfaces for mixture ingredients -- 17. Mixture experiments in restricted regions -- 18. Other mixture methods and topics -- 19. Ridge analysis for examining second-order fitted models when there are linear restrictions on the experimental region -- 20. Canonical reduction of second-order fitted models subject to linear restrictions. |