Empirical model building and response surfaces

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empirical model building and response surfaces

Empirical Model-Building and Response Surfaces by George E.P. Box

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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Published 04.12.2018

Experiments 5B - Response surface methods (RSM) in one variable

In statistics, response surface methodology RSM explores the relationships between several explanatory variables and one or more response variables.
George E.P. Box

Empirical Model?building and Response Surfaces

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Sarah J. Hood, Peter D. Welch, Response surface methodology and its symbolic regression and design of experiments to improve empirical model building.
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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. Convert currency.

Scientific Research An Academic Publisher. Box, G. Experimental Strategy. In a first step, the model is fitted in a traditional way and used to extrapolate forecast of the time-varying mortality index. The observed pattern of the mortality rates shows a different variability at different ages, highlighting that the homoscedasticity hypothesis is quite unrealistic.

5 COMMENTS

  1. Jennifer A. says:

    An innovative discussion of building empirical models and the fitting of surfaces to data. Introduces the general philosophy of response surface methodology.

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