Integrated Analysis of Computer and Physical Experiments

Scientific investigations frequently involve data from computer experiment(s) as well as related physical experimental data on the same factors and related response variable(s). There may also be one or more expert opinions regarding the response of interest. Traditional statistical approaches consi...

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Bibliographic Details
Published in:Technometrics 2004-05, Vol.46 (2), p.153-164
Main Authors: Reese, C. Shane, Wilson, Alyson G, Hamada, Michael, Martz, Harry F, Ryan, Kenneth J
Format: Article
Language:English
Subjects:
Bayesian hierarchical models
Calibration
Coatings
Computer analysis
Computer modeling
Design analysis
Experiment design
Experimental data
Experiments
Flow velocity
Integrated approach
Linear models
Personal computers
Regression
Scientific method
Statistical analysis
Statistical variance
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Summary:Scientific investigations frequently involve data from computer experiment(s) as well as related physical experimental data on the same factors and related response variable(s). There may also be one or more expert opinions regarding the response of interest. Traditional statistical approaches consider each of these datasets separately with corresponding separate analyses and fitted statistical models. A compelling argument can be made that better, more precise statistical models can be obtained if the combined data are analyzed simultaneously using a hierarchical Bayesian integrated modeling approach. However, such an integrated approach must recognize important differences, such as possible biases, in these experiments and expert opinions. We illustrate our proposed integrated methodology by using it to model the thermodynamic operation point of a top-spray fluidized bed microencapsulation processing unit. Such units are used in the food industry to tune the effect of functional ingredients and additives. An important thermodynamic response variable of interest, Y, is the steady-state outlet air temperature. In addition to a set of physical experimental observations involving six factors used to predictY, similar results from three different computer models are also available. The integrated data from the physical experiment and the three computer models are used to fit an appropriate response surface (regression) model for predicting Y.
ISSN:0040-1706
1537-2723
DOI:10.1198/004017004000000211