KL-optimal experimental design for discriminating between two growth models applied to a beef farm

The body mass growth of organisms is usually represented in terms of what is known as ontogenetic growth models, which represent the relation of dependence between the mass of the body and time. The paper is concerned with a problem of finding an optimal experimental design for discriminating betwee...

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Main Authors: Santiago Campos-Barreiro, Jesús López-Fidalgo
Format: Article
Language:English
Published: AIMS Press 2015-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2016.13.67
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author Santiago Campos-Barreiro
Jesús López-Fidalgo
author_facet Santiago Campos-Barreiro
Jesús López-Fidalgo
author_sort Santiago Campos-Barreiro
collection DOAJ
description The body mass growth of organisms is usually represented in terms of what is known as ontogenetic growth models, which represent the relation of dependence between the mass of the body and time. The paper is concerned with a problem of finding an optimal experimental design for discriminating between two competing mass growth models applied to a beef farm. T-optimality was first introduced for discrimination between models but in this paper, KL-optimality based on the Kullback-Leibler distance is used to deal with correlated obsevations since, in this case, observations on a particular animal are not independent.
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institution Kabale University
issn 1551-0018
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series Mathematical Biosciences and Engineering
spelling doaj-art-cf05ee751fe64c39aacd59bdac5ad1a62025-01-24T02:34:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-09-01131678210.3934/mbe.2016.13.67KL-optimal experimental design for discriminating between two growth models applied to a beef farmSantiago Campos-Barreiro0Jesús López-Fidalgo1Institute of Mathematics Applied to Science and Engineering, University of Castilla-La Mancha, 13071-Ciudad RealInstitute of Mathematics Applied to Science and Engineering, University of Castilla-La Mancha, 13071-Ciudad RealThe body mass growth of organisms is usually represented in terms of what is known as ontogenetic growth models, which represent the relation of dependence between the mass of the body and time. The paper is concerned with a problem of finding an optimal experimental design for discriminating between two competing mass growth models applied to a beef farm. T-optimality was first introduced for discrimination between models but in this paper, KL-optimality based on the Kullback-Leibler distance is used to deal with correlated obsevations since, in this case, observations on a particular animal are not independent.https://www.aimspress.com/article/doi/10.3934/mbe.2016.13.67discrimination between modelskl-optimalitygrowth modelst-optimality.
spellingShingle Santiago Campos-Barreiro
Jesús López-Fidalgo
KL-optimal experimental design for discriminating between two growth models applied to a beef farm
Mathematical Biosciences and Engineering
discrimination between models
kl-optimality
growth models
t-optimality.
title KL-optimal experimental design for discriminating between two growth models applied to a beef farm
title_full KL-optimal experimental design for discriminating between two growth models applied to a beef farm
title_fullStr KL-optimal experimental design for discriminating between two growth models applied to a beef farm
title_full_unstemmed KL-optimal experimental design for discriminating between two growth models applied to a beef farm
title_short KL-optimal experimental design for discriminating between two growth models applied to a beef farm
title_sort kl optimal experimental design for discriminating between two growth models applied to a beef farm
topic discrimination between models
kl-optimality
growth models
t-optimality.
url https://www.aimspress.com/article/doi/10.3934/mbe.2016.13.67
work_keys_str_mv AT santiagocamposbarreiro kloptimalexperimentaldesignfordiscriminatingbetweentwogrowthmodelsappliedtoabeeffarm
AT jesuslopezfidalgo kloptimalexperimentaldesignfordiscriminatingbetweentwogrowthmodelsappliedtoabeeffarm