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Design and Analysis of a Microplate Assay in the Presence of Multiple Restrictions on the Randomization

Author

Listed:
  • Alexandre Bohyn

    (Faculty of Bioscience Engineering, KU Leuven)

  • Eric D. Schoen

    (Faculty of Bioscience Engineering, KU Leuven)

  • Chee Ping Ng

    (Mimetas BV)

  • Kristina Bishard

    (Mimetas BV)

  • Manon Haarmans

    (Mimetas BV)

  • Sebastian J. Trietsch

    (Mimetas BV)

  • Peter Goos

    (Faculty of Bioscience Engineering, KU Leuven
    University of Antwerp)

Abstract

Experiments using multi-step protocols often involve several restrictions on the randomization. For a specific application to in vitro testing on microplates, a design was required with both a split-plot and a strip-plot structure. On top of two-level treatment factors and the factors that define the randomization restrictions, a multi-level fixed blocking factor not involving further restrictions on the randomization had to be added. We develop a step-by-step approach to construct a design for the microplate experiment and analyze a response. To consolidate the approach, we study various alternative scenarios for the experiment.Supplementary materials accompanying this paper appear online

Suggested Citation

  • Alexandre Bohyn & Eric D. Schoen & Chee Ping Ng & Kristina Bishard & Manon Haarmans & Sebastian J. Trietsch & Peter Goos, 2024. "Design and Analysis of a Microplate Assay in the Presence of Multiple Restrictions on the Randomization," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 29(4), pages 745-765, December.
    • Handle: RePEc:spr:jagbes:v:29:y:2024:i:4:d:10.1007_s13253-023-00570-1
    DOI: 10.1007/s13253-023-00570-1
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    References listed on IDEAS

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    1. Eric Schoen, 1999. "Designing fractional two-level experiments with nested error structures," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(4), pages 495-508.
    2. D. R. Bingham & E. D. Schoen & R. R. Sitter, 2004. "Designing fractional factorial split‐plot experiments with few whole‐plot factors," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(2), pages 325-339, April.
    3. Bradley Jones & Peter Goos, 2009. "D-optimal design of split-split-plot experiments," Biometrika, Biometrika Trust, vol. 96(1), pages 67-82.
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