Optimal Design of Dilution Experiments Under Volume Constraints
Journal article, 2016
The paper develops methods to construct a one-stage optimal design of dilution experiments under the total available volume constraint typical for biomedical applications. We consider various design criteria based on the Fisher information both in Bayesian and non-Bayesian settings and show that the optimal design is typically one-atomic meaning that all the dilutions should be of the same size. The main tool is variational analysis of functions of a measure and the corresponding steepest descent-type numerical methods. Our approach is generic in the sense that it allows for inclusion of additional constraints and cost components, like the cost of materials and of the experiment itself.
models
tangent sets
1988
Dilution experiment
journal of microscopy-oxford
placenta
Mathematical & Computational
2nd-order
Life Sciences & Biomedicine - Other Topics
variational analysis
space
1989
p191
v21
Mathematics
p211
Poisson parameter inference
Biology
journal of statistical planning and inference
hneider r
hematopoietic stem-cells
v151
Fisher information criteria
aloner k
One-stage design
Author
M. Zolghadr
University of Turin
Sergey Zuev
Chalmers, Mathematical Sciences, Mathematical Statistics
University of Gothenburg
Journal of Agricultural, Biological, and Environmental Statistics
1085-7117 (ISSN) 1537-2693 (eISSN)
Vol. 21 4 663-683Subject Categories
Computer Science
DOI
10.1007/s13253-016-0259-0