A Measure of Rotatability for Response Surface Designs.
Abstract:
A measure is introduced in this paper which quantifies the amount of rotatability in a given response surface design. 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 which maximize the percent rotatability over a spherical region of interest. Four numerical examples are given to illustrate the applications of this measure. Keywords Nonrotatable designs.
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