A Measure of Rotatability for Response-Surface Designs
作者:
A.I. Khuri,
期刊:
Technometrics
(Taylor Available online 1988)
卷期:
Volume 30,
issue 1
页码: 95-104
ISSN:0040-1706
年代: 1988
DOI:10.1080/00401706.1988.10488327
出版商: Taylor & Francis Group
关键词: Nonrotatable designs;Percent rotatability;Repairing rotatability;Design moments;Design augmentation;Cone of rotatability
数据来源: Taylor
摘要:
A measure that quantifies the amount of rotatability in a given response-surface design is introduced in this article. The measure, which is expressible as a percentage, takes the value 100 if and only if the design is rotatable. One of the main advantages of this measure is that it can be used to “repair” a nonrotatable design by the addition of experimental runs that maximize the percent rotatability over a spherical region of interest. Four numerical examples are given to illustrate the applications of this measure.
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