A combinatorial procedure for constructing D-optimal exact designs
DOI:
https://doi.org/10.6092/issn.1973-2201/3519Abstract
The basic problem considered in this paper may be stated as follows: find an N-point exact design measure which maximizes the determinant of the information matrix of a given response function. The combinatorial algorithm introduced in the paper reaches the global D-optimal design quite rapidly and a comparison against the variance exchange algorithm is indicated.References
A. C. ATKINSON, A. N. DONEV, (1992), Optimal Experimental Design, Oxford University Press.
G. E. P. BOX, N. R.DRAPER, (1959), A basis for the selection of a response surface design, “Journal of American Statistical Association”, vol. 54, pp. 622-654.
N.R. DRAPPER, J.A. JOHN, (1998), Response Surface Designs Where Levels of Some Factors are Difficult to Change, “Australian and New Zealand Journal of Statistics”, vol. 40, no. 4, pp. 487-495.
V.V. FEDOROV, (1972), Theory of Optimal Experiment. Academic Press, New York.
T. J MITCHELL, (1974), An Algorithm for the Construction of D-Optimal Experimental Designs, “Technometrics”, 16, 203-210.
T. J. MITCHELL, (2000), An Algorithm for the Construction of “D-Optimal” Experimental Designs, “Technometrics”, vol. 42, no. 1.
I B. ONUKOGU, (1997), Foundations of Optimal Exploration of Response Surfaces, Ephrata Press, Nsukka, Nigeria.
I.B. ONUKOGU, P.E CHIGBU, (2002), Super Convergent Line Series in Optimal Design of Experiments and Mathematical Programming, AP Express Publishers, Nsukka, Nigeria.
A. PAZMAN, (1986), Foundations of Optimum Experimental Designs, D. Riedel Publishing Company.
A. I. STREET, D.J STREET, (1987), Combinatorics of Experimental Design, Oxford University Press.
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