Empirical model-building and response surfaces

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Wiley, Jan 16, 1987 - Mathematics - 669 pages
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An innovative discussion of building empirical models and the fitting of surfaces to data. Introduces the general philosophy of response surface methodology, and details least squares for response surface work, factorial designs at two levels, fitting second-order models, adequacy of estimation and the use of transformation, occurrence and elucidation of ridge systems, and more. Some results are presented for the first time. Includes real-life exercises, nearly all with solutions.

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Contents

THE USE OF GRADUATING FUNCTIONS
20
Appendix 2A A Theoretical Response Function
32
Appendix 3A Iteratively Reweighted Least Squares
89
Copyright

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About the author (1987)

GEORGE BOX, PHD, DSC, FRS, is R. A. Fisher Professor Emeritus of Statistics and Industrial Engineering at the University of Wisconsin. He has been the director of research for investigators at Imperial Chemical Industries, Princeton University, and University of Wisconsin-Madison. He is a Fellow of the Royal Society of London and the American Academy of Arts and Sciences, and an Honorary Member and Shewhart and Deming Medalist of the American Society for Quality. He was awarded the Samuel S. Wilks Memorial Medal from the American Statistical Association and the Guy Medal in Gold from the Royal Statistical Society. He is the author of more than 200 published papers and more than a dozen critically acclaimed books.

GEORGE E. P. BOX, PhD, 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 PhD 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.