Premium
An explanation for an apparent failure of the box‐hill procedure for model discrimination
Author(s) -
Bajramovic R.,
Reilly Park M.
Publication year - 1977
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450550115
Subject(s) - convergence (economics) , nonlinear system , variable (mathematics) , computer science , mathematics , algorithm , mathematical analysis , physics , economics , quantum mechanics , economic growth
Froment and Mezaki made an early attempt to verify, by using real experimental results, that the Box‐Hill procedure could accomplish more efficient model discrimination than less sophisticated procedures. They found rapid convergence but the conclusion varied, depending on the conditions of the initial experimental trials. In attempting to remedy this inconsistency several workers have found changes in the Box‐Hill method which can eliminate it. In this investigation an explanation of the failure is sought and found in terms of the requirements of the method. It is shown that direct application of the unmodified procedure is successful if the dependent variable is chosen so as to minimize the effect of errors in the independent variables even though this means changing the form of the model from linear to nonlinear in the parameters.