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Profile Monitoring for Compositional Data
Monitoreo de perfiles para datos composicionales
DOI:
https://doi.org/10.15446/rce.v37n1.44364Keywords:
Control chart, Dirichlet distribution, Statistical process control. (en)carta de control, control estadístico de procesos, distribución Dirichlet (es)
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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 T^2 control charts for monitoring these profiles in Phase I. A real example from production of concrete is given.
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 T^2 para monitorear estos perfiles en Fase I. Un ejemplo real asociado a la producción de concreto es presentado.
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