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The F test statistics are used to determine the usefulness of the model.
We therefore achieved optimization to create a balance between statistical performance, parsimony, and usefulness of the model using the routine gbm.simplify, a method analogous to backwards selection in regression [46].
Receiver-operating characteristic curves (ROC) and sensitivity and specificity analyses were used to assess the usefulness of the model.
Most statistical packages provide further statistics that may be used to measure the usefulness of the model and that are similar to the coefficient of determination (R) in linear regression [ 3].
To provide initial qualitative validation and illustrate the usefulness of the model, we use the model to investigate Edge on Impact experiments (Strassburger, 2004) on Aluminum Oxynitride (AlON), and discuss the interactions of multiple mechanisms during such an impact event.
Akaike's information criterion(23) was used to evaluate the relative usefulness of the model.
The mathematical and experimental procedures for determination of the equilibrium constant and the usefulness of the model were demonstrated using verapamil hydrochloride and sulfopropyl dextran microsphere system as an example.
During the step-wise backward linear regression, the R-square and the F-statistic (as a test for the global usefulness of the model) have been used to determine the final model [ 38, 39]v.
Control-relevant identification seeks to both simplify the modelling task and improve the usefulness of the model by taking into account controller requirements during system identification.
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Examples highlighting the usefulness of the models are presented using isoresponse surfaces to demonstrate single and coupled effects of mixture parameters on measured properties.
The results of the case study demonstrate the usefulness of the model-based evaluation method.
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