First-order response surface modelling of curvilinear relationships Online publication date: Tue, 31-Aug-2010
by Vladimir B. Bokov
International Journal of Experimental Design and Process Optimisation (IJEDPO), Vol. 1, No. 4, 2010
Abstract: Process or product characterisation involves the determination of quantitative estimates of physical quantities from experiment, along with estimates of their associated uncertainties. Herewith a comprehensive model is the key to extracting information from the experimental data. The information obtained depends directly on model performance. With this concern a novel response surface modelling technique has been fashioned by using jointly original explanatory variables and physics-based transformed explanatory variable. It lets us approximate adequately the true unknown model on the considered region of interest for the original explanatory variables using first-order design only. This technique has allowed attaining the advanced level of model precision. Pneumatic gauge candidate models' building, solving, and validation reviled that the first-order response surface model with physics-based transformed explanatory variable permits to attain adequacy and maximum precision.
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