Optimal Experimental Design
Optimal experimental design is a computer-aided approach to constructing experiments that maximises statistical efficiency for a given model and run budget. Formalised by V. V. Fedorov in 1972, it selects experimental points from a candidate set so that the information matrix M = X'X is optimised according to a chosen criterion — most commonly D-optimality (maximising the determinant) or I-optimality (minimising average prediction variance). It is the preferred strategy whenever classical designs such as central composite or Box-Behnken cannot be applied because the experimental region is constrained or factor ranges are irregular.
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- Fedorov, V.V. (1972). Theory of Optimal Experiments. Academic Press. · URL
- Atkinson, A.C., Donev, A.N., & Tobias, R.D. (2007). Optimum Experimental Designs, with SAS. Oxford University Press. · ISBN 978-0199296606
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