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Revista Colombiana de Estadística

Print version ISSN 0120-1751

Rev.Colomb.Estad. vol.37 no.1 Bogotá Jan./June 2014

https://doi.org/10.15446/rce.v37n1.44364 

http://dx.doi.org/10.15446/rce.v37n1.44364

Profile Monitoring for Compositional Data

Monitoreo de perfiles para datos composicionales

RUBÉN DARÍO GUEVARA-GONZÁLEZ1, JOSÉ ALBERTO VARGAS-NAVAS2, DORIAN LUIS LINERO-SEGRERA3

1National University of Colombia, Department of Statistics, Bogotá, Colombia. Assistant professor. Email: rdguevarag@unal.edu.co
2National University of Colombia, Department of Statistics, Bogotá, Colombia. Professor. Email: javargasn@unal.edu.co
3National University of Colombia, Engineering School, Bogotá, Colombia. Assistant professor. Email: dllineros@unal.edu.co


Abstract

In a growing number of quality control applications, the quality of a product or process is best characterized and summarized by a functional relationship between a response variable and one or more explanatory variables. Profile monitoring is used to understand and to check the stability of this relationship over time. In some applications with compositional data, the relationship can be characterized by a Dirichlet regression model. We evaluate five T2 control charts for monitoring these profiles in Phase I. A real example from production of concrete is given.

Key words: Control chart, Dirichlet distribution, Statistical process\linebreak control.


Resumen

En un gran número de aplicaciones la calidad de un producto o proceso está mejor representada por una relación funcional entre una variable de respuesta y una o más variables explicatorias. El monitoreo de perfiles permite entender y chequear la estabilidad de esta relación funcional a través del tiempo. En algunas aplicaciones con datos composicionales, la relación puede ser representada por un modelo de regresión Dirichlet. En este artículo nosotros evaluamos cinco cartas de control T2 para monitorear estos perfiles en Fase I. Un ejemplo real asociado a la producción de concreto es presentado.

Palabras clave: carta de control, control estadístico de procesos, distribución Dirichlet.


Texto completo disponible en PDF


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[Recibido en octubre de 2013. Aceptado en marzo de 2014]

Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:

@ARTICLE{RCEv37n1a11,
    AUTHOR  = {Guevara-González, Rubén Darío and Vargas-Navas, José Alberto and Linero-Segrera, Dorian Luis},
    TITLE   = {{Profile Monitoring for Compositional Data}},
    JOURNAL = {Revista Colombiana de Estadística},
    YEAR    = {2014},
    volume  = {37},
    number  = {1},
    pages   = {159-181}
}