On Some Two- and Three-dimensional D-minimax Designs for Estimating Slopes of a Third-order Response Surface |
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Authors: | S. Huda L. Benkherouf |
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Affiliation: | Department of Statistics, O.R. Kuwait University, Safat, Kuwait |
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Abstract: | Design of experiments is considered for the situation where estimation of the slopes of a response surface is the main interest. Under the D-minimax criterion, the objective is to minimize the generalized variance of the estimated axial slopes at a point maximized over all points in the region of interest in the factor space. For the third-order model over spherical regions, the D-minimax designs are derived in two and three dimensions. The efficiencies of some two- and three-dimensional designs available in the literature are also investigated. |
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Keywords: | D-minimax designs Optimal designs Response surface designs |
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