Journal
TECHNOMETRICS
Volume 52, Issue 4, Pages 409-420Publisher
AMER STATISTICAL ASSOC
DOI: 10.1198/TECH.2010.09128
Keywords
Binary designs; (M, S)-optimality; Saturated designs
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Saturated row column designs are studied to eliminate row and column effects in primary high-throughput screening experiments. All paired comparisons of treatments in the designs recommended are estimable within each microplate in spite of the existence of row and column effects. The (M, S)-criterion is used to select optimal and eliminate inefficient designs. It turns out that all (M, S)-optimal designs are binary, that is, no treatments appear twice in any row or column. Optimal designs are not unique with respect to design isomorphism. A series of (M, S)-optimal designs is constructed and all paired comparisons of treatments in the constructed designs are estimable regardless of the two-way heterogeneity. An (M, S)-optimal design for 8 x 12 microplates is provided and optimal designs of other dimensions can be constructed systematically.
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