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TECHNICAL PAPERS

Limitations of Statistical Design of Experiments Approaches in Engineering Testing

[+] Author and Article Information
Stelu Deaconu, Hugh W. Coleman

Propulsion Research Center, Mechanical and Aerospace Engineering Department, University of Alabama in Huntsville, Huntsville, AL 35899

J. Fluids Eng 122(2), 254-259 (Mar 02, 2000) (6 pages) doi:10.1115/1.483252 History: Received January 28, 1999; Revised March 02, 2000
Copyright © 2000 by ASME
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References

Hicks, C. R., 1964, Fundamental Concepts in the Design of Experiments, Holt, Rinehart, and Winston, New York.
Montgomery, D. C., 1997, Design and Analysis of Experiments, Fourth Edition, Wiley, New York.
Brown, K. K., 1996, “Assessment of the Experimental Uncertainty Associated with Regressions,” Ph.D. dissertation, Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville.
Brown,  K. K., Coleman,  H. W., and Steele,  W. G., 1998, “A Methodology for Determining the Experimental Uncertainty Associated with Regressions,” ASME J. Fluids Eng., 120, No. 3, pp. 445–456.
Box,  G. E. P., and Draper,  N. R., 1959, “A Basis for the Selection of a Response Surface Design,” J. Am. Stat. Assoc., 54, No. 287, pp. 622–654.
Box,  G. E. P., and Draper,  N. R., 1963, “The Choice of a Second Order Rotatable Design,” Biometrika, 50, Parts 3 and 4, pp. 335–352.
Graybill, F. A., 1961, An Introduction to Linear Statistical Models, McGraw-Hill, New York.
Coleman, H. W., and Steele, W. G., 1999, Experimentation and Uncertainty Analysis For Engineers, Second Edition, Wiley, New York.
Montgomery, D. C., and Peck, E. A., 1992, Introduction to Linear Regression Analysis, Second Edition, Wiley, New York.
Deaconu, S, 1997, “Statistical Design of Experiments and the Validation of Regression Models,” Masters thesis, Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville.

Figures

Grahic Jump Location
Coverage using linear model (α=0.05,Nrep=3)
Grahic Jump Location
Generic model estimation as function of random uncertainty
Grahic Jump Location
Coverage using quadratic model (ANOVA PMSE, Nrep=3,α=0.01)
Grahic Jump Location
Coverage using quadratic model (ANOVA CV, α=0.05,Nrep=3). (a) Test matrix with extremum point in origin, (b) arbitrary test matrix.

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