Published

2007-01-01

UNA INTRODUCCIÓN A LOS DISEÑOS ÓPTIMOS

AN INTRODUCTION TO OPTIMAL DESIGNS

Keywords:

función de información, matriz de información, criterios de optimalidad, teoremas de equivalencia, modelos de regresión no lineal (es)
Information function, Information matrix, Optimality criteria, Equivalence theorems, Nonlinear regression models (en)

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Authors

  • Víctor Ignacio López Universidad Nacional de Colombia Sede Medellín / Centro de Investigación en Matemáticas (CIMAT)
  • Rogelio Ramos Centro de Investigación en Matemáticas (CIMAT)
Introducimos varios conceptos utilizados en la teoría de diseños de experimentos óptimos. Definimos criterios de optimalidad utilizados en esta área y exploramos sus propiedades. Se listan algunos resultados importantes para encontrar diseños óptimos para modelos lineales y no lineales, entre ellos teoremas de equivalencia. Finalmente se presentan algunos ejemplos típicos donde se aplica la teoría vista anteriormente.
We introduce several concepts used in optimal experimental design. Optimality criteria used in this area are defined and their properties are explored. Some important results for finding optimal designs in linear and nonlinear models are listed, specially equivalence theorems are formulated. Finally, we present some examples where that theory is applied.

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How to Cite

López, V. I., & Ramos, R. (2007). AN INTRODUCTION TO OPTIMAL DESIGNS. Revista Colombiana De Estadística, 30(1), 37-51. https://revistas.unal.edu.co/index.php/estad/article/view/29317

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Copyright (c) 2007 Revista Colombiana de Estadística

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