Abstract:
:Dilution assays to determine solute concentration have found wide use in biomedical research. Many dilution assays return imprecise concentration estimates because they are only done to orders of magnitude. Previous statistical work has focused on how to design efficient experiments that can return more precise estimates, however this work has not considered the practical difficulties of implementing these designs in the laboratory. We developed a two-stage experiment with a first stage that obtains an order of magnitude estimate and a second stage that concentrates effort on the most informative dilution to increase estimator precision. We show using simulations and an empirical example that the best two-stage experimental designs yield estimates that are remarkably more accurate than standard methods with equivalent effort. This work demonstrates how to utilize previous advances in experimental design in a manner consistent with current laboratory practice. We expect that multi-stage designs will prove to be useful for obtaining precise estimates with minimal experimental effort.
journal_name
Biometricsjournal_title
Biometricsauthors
Ferguson JM,Miura TA,Miller CRdoi
10.1111/biom.13032subject
Has Abstractpub_date
2019-09-01 00:00:00pages
1009-1016issue
3eissn
0006-341Xissn
1541-0420journal_volume
75pub_type
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