TY - JOUR
T1 - A note on robustness of D-optimal block designs for two-colour microarray experiments
AU - Bailey, Rosemary Anne
AU - Schiffl, Katharina
AU - Hilgers, Ralf-Dieter
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
KW - Breakdown number
KW - Design of microarray experiments
KW - D-optimality
KW - Graph theory
KW - Robustness
UR - https://www.scopus.com/pages/publications/84877614298
U2 - 10.1016/j.jspi.2013.01.005
DO - 10.1016/j.jspi.2013.01.005
M3 - Article
SN - 0378-3758
VL - 143
SP - 1195
EP - 1202
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
ER -