Journal ArticleDOI
The robustness and optimality of response surface designs
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TLDR
In this article, extended optimality criteria for robust designs are applied to response surface problems and methods of calculation are described and the criteria illustrated with several examples; the extended criteria discriminate among designs equivalent by other criteria.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 1979-01-01. It has received 39 citations till now. The article focuses on the topics: Optimal design & Robustness (computer science).read more
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Journal ArticleDOI
Experimental Design: Review and Comment
TL;DR: In this article, the authors review major developments in the design of experiments, offer their thoughts on important directions for the future, and make specific recommendations for experimenters and statisticians who are students and teachers of experimental design.
Journal ArticleDOI
Minimax designs for approximately linear regression
TL;DR: In this paper, the authors consider the approximately linear regression model E[y|x] = z T (x)θ + ƒ(x), x∈ S, where Ƒ(x) is a nonlinear disturbance restricted only by a bound on its L 2(S) norm, and where S is the design space.
Book ChapterDOI
Convex Design Theory
Valerii V. Fedorov,Peter Hackl +1 more
TL;DR: In this article, the authors assume that only a function of these quantities or some function of them is used to describe the results of an experiment, and in particular in the case of normally distributed observations.
Journal ArticleDOI
Robustness of subset response surface designs to missing observations
Tanvir Ahmad,Steven G. Gilmour +1 more
TL;DR: In this paper, the authors studied the robustness of response surface designs to missing observations in different experimental regions and used the minimax loss criterion to improve their robustness for multiple levels.
Journal ArticleDOI
Response surface designs robust to missing observations
Munir Akhtar,Philip Prescott +1 more
TL;DR: In this paper, the effects of one or more missing values in a response surface design are examined and a number of robustness criteria considered and central composite designs with a second order model are used to illustrate the selection of designs which are robust to one or two missing observations.
References
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Journal ArticleDOI
The Equivalence of Two Extremum Problems
J. Kiefer,J. Wolfowitz +1 more
TL;DR: In this article, the authors consider the problem of defining probability measures with finite support, i.e., measures that assign probability one to a set consisting of a finite number of points.
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