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Article
Model comparison tests to determine data information content
Applied Mathematics Letters (2015)
  • H.T. Banks, North Carolina State University
  • John E. Banks
  • Kathryn Link, North Carolina State University
  • Jay A. Rosenheim, University of California - Davis
  • Chelsea Ross, North Carolina State University
  • Kristen Tillman, North Carolina State University
Abstract
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.
Keywords
  • Ordinary least squares; Model comparison in inverse problems; Information content
Publication Date
Spring 2015
DOI
http://dx.doi.org/10.1016/j.aml.2014.11.002
Citation Information
H.T. Banks, John E. Banks, Kathryn Link, Jay A. Rosenheim, et al.. "Model comparison tests to determine data information content" Applied Mathematics Letters Vol. 43 (2015) p. 10 - 18
Available at: http://works.bepress.com/john_banks/62/