Abstract
Abstract The optimality of two classes of row-column designs with two rows is established. Studies of row-column designs with two rows arise, for example, from designs of two-color microarray experiments. Each mRNA sample to be labeled with green or red fluorescent dyes and hybridized on a slide is a treatment, each slide defines a column, and the green and red dyes define the rows. We show the optimality of designs such that the treatments appear nearly equally often in the two rows, and the column designs are either balanced incomplete block designs or group-divisible designs with two groups and λ2 = λ1 + 1, two well known classes of optimal block designs.
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