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Near‐optimal designs for dual channel microarray studies

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  • Ernst Wit
  • Agostino Nobile
  • Raya Khanin

Abstract

Summary. Much biological and medical research employs microarray studies to monitor gene expression levels across a wide range of organisms and under many experimental conditions. Dual channel microarrays are a common platform and allow two samples to be measured simultaneously. A frequently used design uses a common reference sample to make conditions across different arrays comparable. Our aim is to formulate microarray experiments in the experimental design context and to use simulated annealing to search for near‐optimal designs. We identify a subclass of designs, the so‐called interwoven loop designs, that seems to have good optimality properties compared with the near‐optimal designs that are found by simulated annealing. Commonly used reference designs and dye swap designs are shown to be highly inefficient.

Suggested Citation

  • Ernst Wit & Agostino Nobile & Raya Khanin, 2005. "Near‐optimal designs for dual channel microarray studies," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(5), pages 817-830, November.
  • Handle: RePEc:bla:jorssc:v:54:y:2005:i:5:p:817-830
    DOI: 10.1111/j.1467-9876.2005.00519.x
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    Cited by:

    1. Vasiliki Koutra & Steven G. Gilmour & Ben M. Parker, 2021. "Optimal block designs for experiments on networks," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 70(3), pages 596-618, June.
    2. Lima Passos, Valéria & Tan, Frans E.S. & Berger, Martijn P.F., 2011. "Cost-efficiency considerations in the choice of a microarray platform for time course experimental designs," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 944-954, January.
    3. Kerr Kathleen F., 2012. "Optimality Criteria for the Design of 2-Color Microarray Studies," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 11(1), pages 1-9, January.
    4. R. A. Bailey, 2007. "Designs for two‐colour microarray experiments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(4), pages 365-394, August.
    5. Ben M. Parker & Steven G. Gilmour & John Schormans, 2017. "Optimal design of experiments on connected units with application to social networks," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(3), pages 455-480, April.

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