Advertisement

Optimal Designs for Treatment-Control Comparisons in Microarray Experiments

  • Joachim Kunert
  • R. J. Martin
  • Sabine Rothe

Abstract

Two-colour microarray experiments form an important tool in modern molecular biology. But they are very expensive and so careful planning of experiments is necessary. In this paper we determine optimal approximate designs for microarray experiments when only treatment-control comparisons are of interest. Based on these results we construct near optimal finite designs and compare their efficiencies with those of the corresponding star designs, which are often used in microarray experiments.

Keywords

Optimal Design Equivalence Class Microarray Experiment Information Matrix Loop Design 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bailey, R.A.: Designs for two-colour microarray experiments. J. Roy. Stat. Soc.C–lApp. 56, 365–394 (2007) doi: 10.1111/j.1467-9876.2007.00582.xCrossRefMathSciNetGoogle Scholar
  2. 2.
    Bechhofer, R.E., Tamhane, A.C.: Incomplete block designs for comparing treatments with a control: General theory. Technometrics 23, 45–57 (1981)MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Kerr, M.K., Churchill, G.A.: Experimental design for gene expression microar-rays. Biostatistics 2, 183–201 (2001)MATHCrossRefGoogle Scholar
  4. 4.
    Kunert, J., Martin, R.J.: On the determination of optimal designs for an interference model. Ann. Stat. 28, 1728–1742 (2000)MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Kunert, J., Martin, R.J., Eccleston, J.A.: Optimal and near-optimal designs for test-control comparisons with dependent observations. Preprint (2008)Google Scholar
  6. 6.
    Kushner, H.B.: Optimal repeated measurements designs: The linear optimality equations. Ann. Stat. 25, 2328–2344 (1997)MATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Shah, K.R., Sinha, B.K.: Theory of Optimal Designs. Springer, New York (1989)MATHGoogle Scholar
  8. 8.
    Yang, Y.H., Speed, T. Design issues for cdna microarray experiments. Nat. Rev.3, 579–588 (2002)Google Scholar

Copyright information

© Physica-Verlag Heidelberg 2009

Authors and Affiliations

  1. 1.Fakultät StatistikTechnische Universität DortmundDortmundGermany
  2. 2.WirksworthUK

Personalised recommendations