1Escuela de Estadística, Universidad Nacional de Colombia, Medellín. Profesor asistente. Estudiante de doctorado en Ciencias con Orientación en Probabilidad y Estadística. E-mail: vilopez@unalmed.edu.co
2Centro de Investigación en Matemáticas (CIMAT), Guanajuato, Gto., México. Investigador titular. E-mail: rramosq@cimat.mx
]]> Resumen
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.
Palabras clave: función de información, matriz de información, criterios de optimalidad, teoremas de equivalencia, modelos de regresión no lineal.
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.
Key words: Information function, Information matrix, Optimality criteria, Equivalence theorems, Nonlinear regression models.
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