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Precision can be expressed as SE or confidence intervals (CI) and are interconvertible: Precise parameter estimates are important (models with poor parameter precision are often overparameterized), but the level of precision that is acceptable depends on the size of the database.
In any such development, the power delivery and flow will require enhanced feedback control to maintain the plasma conditions within the precise parameter range discovered here.
MBOED approaches are primarily used in the context of precise parameter estimation and model discrimination.
This paper is concerned with the experimental design for precise parameter estimation in a model of known form.
A sequential experimental design procedure which aims at obtaining precise parameter estimates of the mathematical model is proposed and illustrated.
Additional experiments, based on a D-optimum design of experiments, were performed to obtain more precise parameter estimates as required for final model discrimination.
The numbers of sampling and different measuring times for these models to obtain the precise parameter estimates are present in the conclusion.
A procedure for the sequential design of experiments for model discrimination and precise parameter estimation is presented and applied to the published example of isomerization of n-pentane.
Precise parameter values will result in more reliable model simulations, which can be used for interpretation, or can in turn serve to plan subsequent sampling campaigns to further constrain the model parameters.
A sequential experimental strategy for precise parameter estimation has been used in the case of liquid liquid dispersions in batch-stirred tank reactors where slow chemical reactions take place.
Using a criterion related to the Fisher information matrix as a measure for information content, it is possible to design a sampling scheme that will enable the most precise parameter estimates.
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Justyna Jupowicz-Kozak
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