Slope-rotatable designs with equal maximum directional variance for second order response surface models |
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Authors: | Sung H. Park Hyo T. Kwon |
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Affiliation: | Department of Computer Science and Statistics , Seoul National University , Seoul, 151-742, Korea |
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Abstract: | The concept of sloperotaiability with equal maximum directional vari ance for second order response surface models is introduced as a new design property. This requires that the maximum variance of the estimated slope over all possible directions be only a function of p, which is the distance from the design originif is shown that a rotatable design satisfies this property Also, minimization of tiie maximum variance of the estimated slope over all possible directions is proposed as a new design optirnality criterion, and op¬timal designs are called slope-directional minirnax designs. For the class of cquiradial designs, the slope-directional minirnax designs are compared with D— optimal designs. |
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