Empirical model-building and response surfaces

書誌事項

Empirical model-building and response surfaces

George E.P. Box, Norman R. Draper

(Wiley series in probability and mathematical statistics, . Applied probability and statistics)

Wiley, c1987

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注記

Bibliography: p. 615-656

Includes indexes

内容説明・目次

内容説明

This innovative discussion of building empirical models and the fitting of surfaces to data, goes on to introduce the general philosophy of response surface methodology, and details least squares for response surface work. It provides 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, and real-life exercises, nearly all with solutions, are also included.

目次

Introduction to Response Surface Methodology. The Use of Graduating Functions. Least Squares for Response Surface Work. Factorial Designs at Two Levels. Blocking and Fractionating 2 k Factorial Designs. The Use of Steepest Ascent to Achieve System Improvement. Fitting Second--Order Models. Adequacy of Estimation and the Use of Transformation. Exploration of Maxima and Ridge Systems with Second--Order Response Surfaces. Occurrence and Elucidation of Ridge Systems, I. Occurrence and Elucidation of Ridge Systems, II. Links Between Emprirical and Theoretical Models. Design Aspects of Variance, Bias, and Lack of Fit. Variance----Optimal Designs. Practical Choice of a Response Surface Design. Subject Index. Index.

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