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@ARTICLE{HollandLetz:124361,
author = {T. Holland-Letz$^*$},
title = {{O}n the combination of c- and {D}-optimal designs:
{G}eneral approaches and applications in dose-response
studies.},
journal = {Biometrics},
volume = {73},
number = {1},
issn = {0006-341X},
address = {Washington, DC},
publisher = {Internat. Biometric Soc.},
reportid = {DKFZ-2017-01240},
pages = {206 - 213},
year = {2017},
abstract = {Dose-response modeling in areas such as toxicology is often
conducted using a parametric approach. While estimation of
parameters is usually one of the goals, often the main aim
of the study is the estimation of quantities derived from
the parameters, such as the ED50 dose. From the view of
statistical optimal design theory such an objective
corresponds to a c-optimal design criterion. Unfortunately,
c-optimal designs often create practical problems, and
furthermore commonly do not allow actual estimation of the
parameters. It is therefore useful to consider alternative
designs which show good c-performance, while still being
applicable in practice and allowing reasonably good general
parameter estimation. In effect, using optimal design
terminology this means that a reasonable performance
regarding the D-criterion is expected as well. In this
article, we propose several approaches to the task of
combining c- and D-efficient designs, such as using mixed
information functions or setting minimum requirements
regarding either c- or D-efficiency, and show how to
algorithmically determine optimal designs in each case. We
apply all approaches to a standard situation from
toxicology, and obtain a much better balance between c- and
D-performance. Next, we investigate how to adapt the designs
to different parameter values. Finally, we show that the
methodology used here is not just limited to the combination
of c- and D-designs, but can also be used to handle more
general constraint situations such as limits on the cost of
an experiment.},
cin = {C060},
ddc = {570},
cid = {I:(DE-He78)C060-20160331},
pnm = {313 - Cancer risk factors and prevention (POF3-313)},
pid = {G:(DE-HGF)POF3-313},
typ = {PUB:(DE-HGF)16},
pubmed = {pmid:27218478},
doi = {10.1111/biom.12545},
url = {https://inrepo02.dkfz.de/record/124361},
}