A note on robustness of D-optimal block designs for two-colour microarray experiments

Rosemary Anne Bailey, Katharina Schiffl, Ralf-Dieter Hilgers

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1195-1202
Number of pages18
JournalJournal of Statistical Planning and Inference
Volume143
DOIs
Publication statusPublished - 2013

Keywords

  • Breakdown number
  • Design of microarray experiments
  • D-optimality
  • Graph theory
  • Robustness

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