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Small Response-Surface Designs
Technometrics, 1990Standard composite designs for fitting second-order response surfaces typically have a fairly large number of points, especially when k is large. In some circumstances, it is desirable to reduce the number of runs as much as possible while maintaining the ability to estimate all of the terms in the model.
Norman R. Draper, Dennis K. J. Lin
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"Repairing" Response Surface Designs
Technometrics, 1972This note considers a method, recently described by Dykstra, for augmenting existing data in response surface experiments. Examples are given to show how this relatively simple approach can be usefully applied, not only to design repair problems, but to situations in which the experimenter, after reviewing his initial results, decides to change his ...
T. L. Hebble, T. J. Mitchell
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Multistratum Response Surface Designs
Technometrics, 2001Response surface designs are usually described as if the treatments have been completely randomized to the experimental units. However, in practice there is often a structure to the units, implying the need for blocking. If, in addition, some factors are more difficult to vary between units than others, a multistratum structure arises naturally.
Trinca, L. A., Gilmour, S. G.
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Some Considerations in Optimal Response Surface Designs
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
AlKandari, Bashayer Y. +2 more
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Response Surfaces and Robust Design
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1999AbstractResponse surface methods can be applied for building both global and mid‐range approximation models, to be used in structural optimization as an interface between analysis tools and optimization algorithms. This approach is particularly promising in those areas, where the structural behaviour or analysis process exhibits noise, because ...
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Blocking response surface designs
1992Abstract This chapter, like Chapter 13, is concerned with the design of experiments when the response depends on both qualitative and quantitative factors. For the exact designs of Chapter 13 the number of trials at each level of the qualitative factor is determined by the search algorithm.
A C Atkinson, A N Doney
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1996
Publisher Summary This chapter focuses on response surface designs. When the mechanism that produced the data is either unknown or poorly understood, so that the mathematical form of the true response surface is unknown, an empirical model is often fitted to the data. An empirical model is usually linear in the parameters and often of polynomial form,
Norman R. Draper, Dennis K.J. Lin
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Publisher Summary This chapter focuses on response surface designs. When the mechanism that produced the data is either unknown or poorly understood, so that the mathematical form of the true response surface is unknown, an empirical model is often fitted to the data. An empirical model is usually linear in the parameters and often of polynomial form,
Norman R. Draper, Dennis K.J. Lin
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Response-surface experimental design
IEEE Potentials, 1992Response-surface experimental design is explained, and it is shown that it offers a powerful tool for efficiently characterizing and optimizing a complex process. Engineers end up with a picture and the ability to predict what will happen for any given set of operating conditions.
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