First-order response surface modelling of curvilinear relationships. (1st September 2010)

• Record Type: Journal Article
• Authors: Bokov, Vladimir B.
• Is Part Of: International journal of experimental design and process optimisation. Volume 1:Number 4(2010)
• Page Start: 327
• Page End: 347
• Publication Date: 2010-09-01
• Subjects: curvilinear relationship -- first-order experimental design -- explanatory variables transformation -- pneumatic gauge modelling -- response surface modelling -- information extraction -- information retrieval -- experimental data; Experimental design -- Periodicals; Process control -- Statistical methods -- Periodicals; 620.0072
• Languages: English
• ISSNs: 2040-2252

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.