Optimal Design of Dilution Experiments Under Volume Constraints
Artikel i vetenskaplig tidskrift, 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

Författare

M. Zolghadr

Universita degli Studi di Torino

Sergey Zuev

Chalmers, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

Journal of Agricultural, Biological, and Environmental Statistics

1085-7117 (ISSN) 1537-2693 (eISSN)

Vol. 21 663-683

Ämneskategorier

Datavetenskap (datalogi)

DOI

10.1007/s13253-016-0259-0