Model comparison tests to determine data information content

H.T Banks; J.E Banks; Kathryn Link; J.A Rosenheim; Chelsea Ross; K.A Tillman

doi:10.1016/j.aml.2014.11.002

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Model comparison tests to determine data information content

Journal article

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Model comparison tests to determine data information content

H.T Banks, J.E Banks, Kathryn Link, J.A Rosenheim, Chelsea Ross and K.A Tillman

Applied mathematics letters, Vol.43, pp.10-18

05/2015

DOI: https://doi.org/10.1016/j.aml.2014.11.002

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https://hdl.handle.net/2376/114515

PMCID: PMC4283942

PMID: 25574073

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Abstract

Information content

Ordinary least squares

Model comparison in inverse problems

In the context of inverse or parameter estimation problems we demonstrate the use of statistically based model comparison tests in several examples of practical interest. In these examples we are interested in questions related to information content of a particular given data set and whether the data will support a more complicated model to describe it. In the first example we compare fits for several different models to describe simple decay in a size histogram for aggregates in amyloid fibril formation. In a second example we investigate whether the information content in data sets for the pest Lygus hesperus in cotton fields as it is currently collected is sufficient to support a model in which one distinguishes between nymphs and adults. Finally in a third example with data for patients having undergone an organ transplant, we question whether the data content is sufficient to estimate more than 5 of the fundamental parameters in a particular dynamic model.

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Title: Model comparison tests to determine data information content
Creators: H.T Banks - Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
J.E Banks - Division of Sciences & Mathematics, School of Interdisciplinary Arts & Sciences, University of Washington, Tacoma, Tacoma, WA 98402, USA
Kathryn Link - Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
J.A Rosenheim - Department of Entomology and Nematology, University of California, Davis, Davis, CA 95616, USA
Chelsea Ross - Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
K.A Tillman - Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
Publication Details: Applied mathematics letters, Vol.43, pp.10-18
Academic Unit: UNKNOWN
Publisher: Elsevier Ltd
Identifiers: 99900547338401842
Language: English
Resource Type: Journal article