A measure of slope-rotatability for second order response surface experimental designs |
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| Authors: | Sung H. Park Hyuk J. Kim |
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| Affiliation: | 1. Department of Computer Science and Statistics , Seoul National University , Seoul, 151–742, Korea;2. Department of Statistics , Wonkwang University , Iri, 570–749, Korea |
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| Abstract: | In the design of experiments for estimating the slope of a response surface, slope-rotatability is a desirable property. In this paper, a measure is introduced that enables us to assess the degree of slope-rotatability for a given response surface design. The measure takes the value zero if and only if the design is slope-rotatable, and becomes larger as the design deviates from a slope-rotatable design. Examples of applying this measure to some response surface designs are also given. |
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