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Optimal Weights for Experimental Designs on Linearly Independent Support Points

Friedrich Pukelsheim and Ben Torsney
The Annals of Statistics
Vol. 19, No. 3 (Sep., 1991), pp. 1614-1625
Stable URL: http://www.jstor.org/stable/2241966
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Optimal Weights for Experimental Designs on Linearly Independent Support Points
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Abstract

An explicit formula is derived to compute the A-optimal design weights on linearly independent regression vectors, for the mean parameters in a linear model with homoscedastic variances. The formula emerges as a special case of a general result which holds for a wide class of optimality criteria. There are close links to iterative algorithms for computing optimal weights.

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