Optimal Designs for Treatment-Control Comparisons in Microarray Experiments

Two-colour microarray experiments form an important tool in modern molecular biology. But they are very expensive and so careful planning of experiments is necessary. In this paper we determine optimal approximate designs for microarray experiments when only treatment-control comparisons are of interest. Based on these results we construct near optimal finite designs and compare their efficiencies with those of the corresponding star designs, which are often used in microarray experiments.