A note on robustness of D-optimal block designs for two-colour microarray experiments |
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Authors: | RA Bailey Katharina Schiffl Ralf-Dieter Hilgers |
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Institution: | 1. School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK;2. Für Medizinsche Statistik, Aachen, Germany;3. Aachen University, Department of Medical Statistics, 52074 Aachen, Germany |
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Abstract: | 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 Latif et al. (2009), 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. |
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Keywords: | Breakdown number Design of microarray experiments D-optimality Graph theory Robustness |
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