Pointwise RMS bias error estimates for design of experiments

Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting

Volumn 12, Issue , 2006, Pages 8761-8782

  Goel, Tushar ^a,d   Haftka, Raphael T ^a,d   Shyy, Wei ^b,d   Watson, Layne T ^c,d  

^a UNIVERSITY OF FLORIDA   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^d AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; DATA ACQUISITION; MACHINE DESIGN; POLYNOMIALS; PROBLEM SOLVING;

HIGH DIMENSIONAL DESIGN SPACES; SURFACE APPROXIMATIONS; SURFACE MODELS;

ERROR ANALYSIS;

EID: 34250829084     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-724     Document Type: Conference Paper

References (17)

1. Myers, R.H., Montgomery, D.C., Response Surface Methodology-Process and Product Optimization Using Designed Experiments, New York: John Wiley & Sons, Inc., 1995, pp. 208-279.
2. Box, G.E.P., Wilson, K.B., "On the Experimental Attainment of Optimum Conditions", Journal of Royal Statistical Society, 1951, pp. 1-45.
3. Goel, T., Papila, M., Haftka, R.T., Shyy, W., "Generalized Pointwise Bias Error Bounds for Response Surface Approximation", to appear in International Journal of Numerical Methods in Engineering.
4. Box, G.E.P., Draper, N.R., "The Choice of a Second Order Rotatable Design", Biometrika, 50 (3), 1963, pp. 335-352.
5. Draper, N.R., Lawrence, W.E., "Designs which Minimize Model Inadequacies: Cuboidal Regions of Interest", Biometrika, 52 (1-2), 1965, pp.111-118.
6. Kupper, L.L., Meydrech, E.F., "A New Approach to Mean Squared Error Estimation of Response Surfaces", Biometrika, 60 (3), 1973, pp.573-579.
7. Welch, W.J., "A Mean Squared Error Criterion for the Design of Experiments", Biometrika, 70(1), 1983, pp.205-213.
8. nd edition, New York, Marcel Dekker Inc., 1996, pp. 207-247.
9. th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, Materials Conference, Kissimmee FL, 1997, pp. 1225-1238, AIAA-1997-1053.
10. Montepiedra, G., Fedorov, V.V., "Minimum Bias Designs with Constraints", Journal of Statistical Planning and Inference, 63, 1997, pp.97-111.
11. Fedorov, V.V., Montepiedra, G., Nachtsheim C.J., "Design of Experiments for Locally Weighted Regression", Journal of Statistical Planning and Inference, 81, 1999, pp. 363-383.
12. Palmer, K., Tsui, K.L., "A Minimum Bias Latin Hypercube Design", Institute of Industrial Engineers Transactions, 33(9), 2001, pp.793-808.
13. Qu, X., Venter, G., Haftka, R.T., "New Formulation of a Minimum-Bias Experimental Design based on Gauss Quadrature", Structural and Multidisciplinary Optimization, 28(4), 2004, pp.231-242.
14. nd AIAA/ASME/ASCE/ASC Structures, Structural Dynamics, and Material Conference, Seattle, WA, 2001, AIAA-01-1680.
15. Papila, M., Haftka, R.T., Watson, L.T., "Bias Error Bounds for Response Surface Approximations and Min-Max Bias Design", AIAA Journal, 43(8), 2005, pp. 1797-1807.
16. MATLAB®, The Language of Technical Computing, Version 6.5, Release 13, © 1984-2002, The Math Works Inc.
17. JMP®, The Statistical Discovery Software™, Version 5, © 1989-2003, SAS Institute Inc., Cary NC, USA.