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A design criterion for symmetric model discrimination based on flexible nominal sets

Experimental design applications for discriminating between models have been hampered by the assumption to know beforehand which model is the true one, which is counter to the very aim of the experiment. Previous approaches to alleviate this requirement were either symmetrizations of asymmetric tech...

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Detalles Bibliográficos
Autores principales: Harman, Radoslav, Müller, Werner G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9328432/
https://www.ncbi.nlm.nih.gov/pubmed/31957085
http://dx.doi.org/10.1002/bimj.201900074
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author Harman, Radoslav
Müller, Werner G.
author_facet Harman, Radoslav
Müller, Werner G.
author_sort Harman, Radoslav
collection PubMed
description Experimental design applications for discriminating between models have been hampered by the assumption to know beforehand which model is the true one, which is counter to the very aim of the experiment. Previous approaches to alleviate this requirement were either symmetrizations of asymmetric techniques, or Bayesian, minimax, and sequential approaches. Here we present a genuinely symmetric criterion based on a linearized distance between mean‐value surfaces and the newly introduced tool of flexible nominal sets. We demonstrate the computational efficiency of the approach using the proposed criterion and provide a Monte‐Carlo evaluation of its discrimination performance on the basis of the likelihood ratio. An application for a pair of competing models in enzyme kinetics is given.
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spelling pubmed-93284322022-07-30 A design criterion for symmetric model discrimination based on flexible nominal sets Harman, Radoslav Müller, Werner G. Biom J General Biometry Experimental design applications for discriminating between models have been hampered by the assumption to know beforehand which model is the true one, which is counter to the very aim of the experiment. Previous approaches to alleviate this requirement were either symmetrizations of asymmetric techniques, or Bayesian, minimax, and sequential approaches. Here we present a genuinely symmetric criterion based on a linearized distance between mean‐value surfaces and the newly introduced tool of flexible nominal sets. We demonstrate the computational efficiency of the approach using the proposed criterion and provide a Monte‐Carlo evaluation of its discrimination performance on the basis of the likelihood ratio. An application for a pair of competing models in enzyme kinetics is given. John Wiley and Sons Inc. 2020-01-20 2020-07 /pmc/articles/PMC9328432/ /pubmed/31957085 http://dx.doi.org/10.1002/bimj.201900074 Text en © 2020 The Authors. Biometrical Journal published by WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim. https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle General Biometry
Harman, Radoslav
Müller, Werner G.
A design criterion for symmetric model discrimination based on flexible nominal sets
title A design criterion for symmetric model discrimination based on flexible nominal sets
title_full A design criterion for symmetric model discrimination based on flexible nominal sets
title_fullStr A design criterion for symmetric model discrimination based on flexible nominal sets
title_full_unstemmed A design criterion for symmetric model discrimination based on flexible nominal sets
title_short A design criterion for symmetric model discrimination based on flexible nominal sets
title_sort design criterion for symmetric model discrimination based on flexible nominal sets
topic General Biometry
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9328432/
https://www.ncbi.nlm.nih.gov/pubmed/31957085
http://dx.doi.org/10.1002/bimj.201900074
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