Characteristic Polynomial Criteria in Optimal Experimental Design
- Rodríguez-Díaz, J. M. 1
- López-Fidalgo, J. 1
-
1
Universidad de Salamanca
info
ISSN: 1431-1968
ISBN: 9783790811117
Ano de publicación: 1998
Páxinas: 31-38
Tipo: Capítulo de libro
Resumo
Many optimality criteria have been used in the literature of experimental design. Two of the most common are A-optimality and D-optimality. They are the first and the last coefficients of the characteristic polynomial of the inverse information matrix. In this paper, criteria from the remaining coefficients are considered, and some properties are studied. While A-optimality focuses on the average of the estimate variances and D-optimality focuses on all of the covariances, these criteria take into consideration the covariances considered in groups of two, three, four,…
Referencias bibliográficas
- Atkinson A.C. and Donev A.N. (1992). Optimum Experimental Designs. Oxford Science Publications, New York.
- Fedorov V.V. (1972). Theory ofOptimal Experiments. Academic Press, New York.
- Kurosch A.G. (1977). Higher Algebra Course. MIR, Moscow.
- Pázman A. (1986). Foundations of OptimumExperimental Design. D. Reidel publishing company, Dordrecht.
- Pukelsheim F. (1993). Optimal Design of Experiments. John Wiley and Sons, New York.
- Silvey S.D. (1980). Optimal Design. University Press, Cambridge.