1Universidad Pedagógica y Tecnológica de Colombia, Departamento de Matemáticas y Estadística, Tunja, Colombia. Profesora auxiliar. Email: cguerreros@unal.edu.co
2Universidad Nacional de Colombia, Facultad de Ciencias, Departamento de Estadística, Bogotá, Colombia. Profesor asociado. Email: oomelom@unal.edu.co
En este artículo se propone una metodología de modelamiento conjunto de tratamientos con niveles cuantitativos medidos en el tiempo, a través de la combinación de las metodologías de superficie de respuesta y curvas de crecimiento. Se realiza la estimación de los parámetros del modelo propuesto, los cuales miden el efecto de los factores asociados al modelo de superficie de respuesta de segundo orden a lo largo del tiempo. Se plantea y juzga las diferentes hipótesis de interés y, finalmente, con el modelo ajustado se encuentran las condiciones de optimización de un conjunto de tratamientos a través del tiempo. Por último, se presenta una aplicación, analizada mediante curvas de crecimiento por .
Palabras clave: superficie de respuesta, curvas de crecimiento, optimización, análisis univariado.
A methodology is suggested to jointly model treatments with quantitative levels measured in time, by combining the response surface and the growth curve techniques. The models parameters are estimated; these measure the effect through time of the factors related to the second order response surface model. The hypothesis of interest are formulated and tested. Additionally, by means of the fitted model, the optimality conditions throughout time are established for a set of specific treatments. As a final step, an application previously analyzed with growth curves by is now assessed with the proposed model.
Key words: Response surfaces, Growth curves, Optimization, Univariate analysis.
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Referencias
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCEv31n2a05,
AUTHOR = {Guerrero, Sara Cristina and Melo, Óscar Orlando},
TITLE = {{Optimización de curvas de crecimiento a través de análisis univariado}},
JOURNAL = {Revista Colombiana de Estadística},
YEAR = {2008}, ]]>
volume = {31},
number = {2},
pages = {193-209}
}