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Potential pitfalls in model discrimination
Author(s) -
Pritchard D. J.,
Bacon D. W.
Publication year - 1974
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.5450520116
Subject(s) - variance (accounting) , statistics , mathematics , explained sum of squares , experimental data , least squares function approximation , computer science , accounting , estimator , business
Statistical experimental design techniques for model discrimination are evaluated using data obtained by Juusola (1971) for the oxidation of o‐xylene over a vanadium oxide catalyst. The Box‐Hill (1967) design procedure for discrimination is found to be particularly sensitive to underestimation of the variance of the measured response. An analogous weighted criterion is developed and found to perform satisfactorily with data fitted using weighted least squares. Other numerical difficulties encountered in using the discrimination design criteria are also discussed.