Comparison of rotatable designs for regression on balls,I (quadratic) |
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Authors: | Z Galil J Kiefer |
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Institution: | Cornell University, Ithaca, N.Y., U.S.A. |
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Abstract: | Designs for quadratic and cubic regression are considered when the possible choices of the controlable variable are points x=( x1,x2,…,xq) in the q-dimensional. Full of radius R, Bq(R) ={x:Σ4ix2i?R2}. The designs that are optimum among rotatable designs with respect to the D-, A-, and E-optimality criteria are compared in their performance relative to these and other criteria, including extrapolation. Additionally, the performance of a design optimum for one value of R, when it is implemented for a different value of R, is investigated. Some of the results are developed algebraically; others, numerically. For example, in quadratic regression the A-optimum design appears to be fairly robust in its efficiency, under variation of criterion. |
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Keywords: | 62K05 Optimum designs rotatable designs experiments in balls robust designs quadratic regression |
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