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Optimal Design of Dilution Experiments Under Volume Constraints

M. Zolghadr ; Sergei Zuyev (Institutionen för matematiska vetenskaper, matematisk statistik)
Journal of Agricultural Biological and Environmental Statistics (1085-7117). Vol. 21 (2016), 4, p. 663-683.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Dilution experiment, Poisson parameter inference, Fisher information criteria, One-stage design, hematopoietic stem-cells, variational analysis, tangent sets, 2nd-order, placenta, models, space, Life Sciences & Biomedicine - Other Topics, Mathematical & Computational, Biology, Mathematics, hneider r, 1988, journal of microscopy-oxford, v151, p211, aloner k, 1989, journal of statistical planning and inference, v21, p191

Denna post skapades 2017-01-13.
CPL Pubid: 246876


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)


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Chalmers infrastruktur