International Journal of Experimental Design and Process Optimisation
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International Journal of Experimental Design and Process Optimisation (1 paper in press)
USING CRITERION-BASED MODEL AVERAGING IN TWO-INPUT MRSM PROBLEMS:
Investigating Cloning of an Under-Fitted Response Model
by Domingo Pavolo, Delson Chikobvu Abstract: Cloning of an under-fitted parent ordinary least squares response model using model averaging to combine its genetic ordinary least squares models is presented and investigated as a solution to the models problem of parametric bias and variability with the intention of improving prediction accuracy. The permutation of genetic models that is produced from the set of the under-fitted ordinary least squares models independent variables is first determined. Sets of genetic models that combine to give the same functional form as the parent ordinary least squares model are then obtained and combined using criterion-based model averaging. The mean squared error of the clones are very close to that of the parent ordinary least squares model but always larger. The mean squared forecasted error suggest that most of the clones have better prediction accuracy than the ordinary least squares model. Combining the clones using criterion-based frequentist model averaging and arithmetic model averaging shows that the higher the number of clones combined using criterion-based frequentist model averaging the better the fitness to data than arithmetic model averaging while the higher the number of clones combined using arithmetic averaging the better the prediction accuracy. Keywords: response surface cloning; multi-response surface methodology; ordinary least squares model; response models; all regressions modeling.