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

Libro:
Contributions to Statistics

ISSN: 1431-1968

ISBN: 9783790811117

Año de publicación: 1998

Páginas: 31-38

Tipo: Capítulo de Libro

DOI: 10.1007/978-3-642-58988-1_4 GOOGLE SCHOLAR lock_openAcceso abierto editor

Resumen

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,…

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