Advanced SearchSearch Tips
Strategical Issues in Multiple-Objective Optimal Experimental Design
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Strategical Issues in Multiple-Objective Optimal Experimental Design
Kim Young-Il; Kahng Myung-Wook;
  PDF(new window)
Many of statistical experimental designs have multiple goals. It is often impractical to use the single-objective criterion for this purpose. It is necessary to modify the existing optimum experimental design criteria. There exist three criteria handling this problem in general: compound, constrained, maxi-min approach. This paper extends Kahng and Kim's idea to develop another approach to incorporate several experimental design criteria in accordance of their importance in practical way. Furthermore this paper investigate its relationship with the maxi-min approach. It shows logically that the often realized infeasibility can be still avoided with the rank of importance of the objectives intact.
-optimality;Compound design;Constrained design;maxi-min design;
 Cited by
Hybrid Approach When Multiple Objectives Exist,;;

Communications for Statistical Applications and Methods, 2007. vol.14. 3, pp.531-540 crossref(new window)
김영일 (1993). D-와 이분산 G-최적을 중심으로 한 오차-로버스트적 실험계획법, 응용통계연구, 제6권 2호, 303-309

김영일, 강명욱 (2002). Multiple Constrained Optimal Experimental Design. 한국통계학회논문집, 제9권 3호, 619-627

염준근, 남기성 (2000). A Study on D-Optimal Design Using the Genetic Algorithm. 한국통계학회논문집, 제7권 1호, 357-370

Atkinson, A.C. (1972). Planning experiments to detect inadequate regression models. Biometrika, Vol. 59, 275-293 crossref(new window)

Atkinson, A.C. and Bogacka, B. (1997). Compound D-and $D_{s-} $-optimum designs for determining the order of a chemical reaction. Technometrics, Vol. 39. 347-356 crossref(new window)

Atwood, C.L. (1969). Optimal and Efficient Designs of Experiments. The Annals of Mathematical Statistics, Vol. 40, 1570-1602 crossref(new window)

Box, G.E.P. and Draper, N.R (1959). A basis for the selection of a response surface design. Journal of the American Statistical Association, Vol. 54, 622-653 crossref(new window)

Box, G.E.P. and Draper, N.R. (1975). Robust Design. Biometrika, Vol. 62, 347-352 crossref(new window)

Cook, R.D. and Wong, W.K. (1994). On the equivalence between constrained and compound optimal designs. Journal of the American Statistical Association, Vol. 89, 687-692 crossref(new window)

Cook, R.D. and Fedorov, V.V. (1995). Constrained optimization of experimental design with discussion. Statistics, Vol. 26, 129-178 crossref(new window)

Dette, H, and Franke, T. (2000). Constrained $D_1$ - and D-optimal designs for polynomial regression. Ruhr- Universitat Bochum technical paper

Fedorov, V.V. (1972). Theory of Optimal Experiemnts. Academic Press, New York

Huang, Y.C. (1996). Multiple-objective optimal designs. Doctor of Public Health Dissertation, Department of Biostatistics, School of Public Health, UCLA

Huang, Y.C, and Wong, W.K. (1998a). Sequential construction of multiple -objective designs. Biometrics, Vol. 54, 188-197

Huang, Y.C. and Wong, W.K. (1998b). Multiple-objective designs. Journal of Biopharmaceutical Statistie, Vol. 8, 635-643 crossref(new window)

Imhof, L. and Wong, W.K. (1999). A graphical method for finding maximin designs. Biometrics, Vol. 54, 188-197

Lauter, E. (1974). Experimental planning in a class of models. Mathematishe Operationsforshung und Statistik, Vol. 5, 673-708

Lauter, E. (1976). Optimal multipurpose designs for regression models. Mathmatische Operationsforsli und Statistics, Vol. 7, 51-68 crossref(new window)

Lee, C.M.S. (1987). Constrained optimal designs for regression models. Communications in Statistics, Part A-theory and Methods, Vol. 16, 765-783 crossref(new window)

Lee, C.M.S. (1998). Constrained optimal designs. Journal of Statistical Planning and Inierence, Vol. 18, 377-389

Pukelsheim, F. (1993). Optimal Design of Experiments. Wiley, New York

Silvey, S.D. (1980). Optimal Design. Chapman Hall, New York

Stigler, S.M. (1971) Optimal experimental design for polynomial regression. Journal of the American Statistical Association, Vol. 66, 311-318 crossref(new window)

Studden, W.J, (1982). Some robust-type D-optimal designs in polynomial regression. Journal of the American Statistical Association, Vol. 66, 311-318 crossref(new window)

Wong, W.K. (1995). A graphical approach for constructing constrained D-and L - optimal designs using efficiency plots. Journal of Statistical Simulation and Computations, Vol. 53, 143-152 crossref(new window)

Wong, W.K. (1999). Recent advances in multiple-objective design strategies. Statistica Neerlandica, Vol. 53, 257-276 crossref(new window)

Zhu, W., Ahn, H. and Wong, W.K. (1998). Multiple-objective optimal designs for the logit model. Communications in Statistics-Theory and Methods, Vol. 27, 1581-1592 crossref(new window)