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

Alexandre Bohyn (), Eric D. Schoen, Chee Ping Ng, Kristina Bishard, Manon Haarmans, Sebastian J. Trietsch and Peter Goos
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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

Journal of Agricultural, Biological and Environmental Statistics, 2024, vol. 29, issue 4, No 5, 745-765

Abstract: 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

Keywords: Split-plot experiment; Strip-plot experiment; Blocking; Mixed model; Regular two-level designs (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13253-023-00570-1

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