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A note on robustness of D-optimal block designs for two-colour microarray experiments. (English) Zbl 1432.62254

Summary: Two-colour microarray experiments form an important tool in gene expression analysis. Due to the high risk of missing observations in microarray experiments, it is fundamental to concentrate not only on optimal designs but also on designs which are robust against missing observations. As an extension of A. H. M. Mahbub Latif et al. [“Robustness considerations in selecting efficient two-color microarray designs”, Bioinform. 25, No. 18, 2355–2361 (2009; doi:10.1093/bioinformatics/btp407)], we define the optimal breakdown number for a collection of designs to describe the robustness, and we calculate the breakdown number for various D-optimal block designs. We show that, for certain values of the numbers of treatments and arrays, the designs which are D-optimal have the highest breakdown number. Our calculations use methods from graph theory.

MSC:

62K10 Statistical block designs
62K05 Optimal statistical designs
05B05 Combinatorial aspects of block designs

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References:

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