Variance Dispersion Properties of Second-Order Response Surface Designs
作者:
MyersRaymond H.,
ViningG. Geoffrey,
GiovannittiAnn,
MyersSharon L.,
期刊:
Journal of Quality Technology
(Taylor Available online 1992)
卷期:
Volume 24,
issue 1
页码: 1-11
ISSN:0022-4065
年代: 1992
DOI:10.1080/00224065.1992.11979368
出版商: Taylor&Francis
关键词: Design Efficiencies;D-Optimality;G-Optimality;Response Surface Methodology
数据来源: Taylor
摘要:
Often, second-order response surface designs are chosen on the basis of a single-valued criterion such as D- or G-optimality. While such criteria provide a useful basis for selecting designs, they often fail to convey the true nature of the design's support of the fitted model in terms of prediction properties over a region of interest. As an alternative to a single-valued criterion, we propose variance dispersion graphs to compare various second-order response surface designs. This graphical procedure is used to examine the relative strengths and weaknesses of such popular designs as the central composite, Box-Behnken, and small composite. Areas in the region of interest where prediction is relatively good and relatively poor are discussed, and designs which have good overall performance are highlighted. A summary comparison of such saturates or near-saturates designs as the hybrid, Box-Draper, and Notz designs is given together with recommendations concerning the proper choice among these designs. Finally, we show how the use of the D-optimality criterion can lead to misleading results when the user is truly interested in response surface prediction.
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