Characteristic Polynomial Criteria in Optimal Experimental Design

  1. Rodríguez-Díaz, J. M. 1
  2. López-Fidalgo, J. 1
  1. 1 Universidad de Salamanca
    info

    Universidad de Salamanca

    Salamanca, España

    ROR https://ror.org/02f40zc51

Llibre:
Contributions to Statistics

ISSN: 1431-1968

ISBN: 9783790811117

Any de publicació: 1998

Pàgines: 31-38

Tipus: Capítol de llibre

DOI: 10.1007/978-3-642-58988-1_4 GOOGLE SCHOLAR lock_openAccés obert editor

Resum

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,…

Referències bibliogràfiques

  • 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.