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

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 th...

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Bibliographic Details
Published in:Journal of agricultural, biological, and environmental statistics biological, and environmental statistics, 2024-12, Vol.29 (4), p.745-765
Main Authors: Bohyn, Alexandre, Schoen, Eric D., Ng, Chee Ping, Bishard, Kristina, Haarmans, Manon, Trietsch, Sebastian J., Goos, Peter
Format: Article
Language:English
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Summary: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
ISSN:1085-7117
1537-2693
DOI:10.1007/s13253-023-00570-1