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Journal ArticleDOI

Optimal design: Variation in structure and performance under change of criterion

J. Kiefer
- 01 Aug 1975 - 
- Vol. 62, Iss: 2, pp 277-288
TLDR
In this paper, the advisability of comparing designs on the basis of several different criteria of goodness is discussed, including A-, D- and E-optimality, as well as one of Box & Draper.
Abstract
SUMMARY The advisability of comparing designs on the basis of several different criteria of goodness is discussed. As an illustration, designs for quadratic regression on a simplex are compared in terms of a family of criteria that includes those of A-, D- and E-optimality, as well as one of Box & Draper. Efficiency robustness under change of region, as well as of criterion, is considered. The dependence of structure of good designs on dimension is determined.

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Citations
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Journal ArticleDOI

Response surface methodology: 1966–1988

TL;DR: This article reviews the progrrss of RSM in the general areas of experimental design and analysis and indicates how its role has been affected by advanccs in other fields of applied statistics.
Journal ArticleDOI

Response Surface Methodology--Current Status and Future Directions

TL;DR: This paper is a reflection on where response surface methodology is at this point and what will likely be future directions.
Journal ArticleDOI

Systems biology: experimental design

TL;DR: In this minireview, the existing approaches concerning this optimization for parameter estimation and model discrimination are summarized and relevant classical aspects of experimental design, such as randomization, replication and confounding, are reviewed.
Journal ArticleDOI

Computer-Aided Design of Experiments for Response Estimation

William J. Welch
- 01 Aug 1984 - 
TL;DR: The authors generalizes Mitchell's DETMAX algorithm to an arbitrary design criterion and describes an efficient implementation for minimizing either the maximum variance or the average variance of the response estimator over the design region.
References
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Journal ArticleDOI

The Equivalence of Two Extremum Problems

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.
Journal ArticleDOI

Optimum Designs in Regression Problems

TL;DR: In this paper, the authors consider the problem of finding an optimum design of experiments in regression problems, where the desired inference concerns one of the regression coefficients, and illustrative examples will be given in Section 3.
Journal ArticleDOI

General Equivalence Theory for Optimum Designs (Approximate Theory)

J. Kiefer
- 01 Sep 1974 - 
TL;DR: For general optimality criteria, this article obtained criteria equivalent to $\Phi$-optimality under various conditions on ''Phi'' and showed that such equivalent criteria are useful for analytic or machine computation of ''phi''-optimum designs.