Árboles de clasificación para el análisis de gráficos de control multivariantes

In statistical quality control, one of the most widely used tools are the control charts. The main problem of the multivariate control charts lies in that they only indicate that a change in the process has happened, but they do not show which variable or variables are the source of this change. In...

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Main Authors: Matías Gámez Martínez, Esteban Alfaro Cortés, José Luis Alfaro Navarro, Noelia García Rubio
Format: Article
Language:Spanish
Published: Universidad de Costa Rica 2009-02-01
Series:Revista de Matemática: Teoría y Aplicaciones
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/1417
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spelling doaj-825d46b58b0d4219aef2490fa7faa9342020-11-25T00:59:57ZspaUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732009-02-01161304210.15517/rmta.v16i1.14171349Árboles de clasificación para el análisis de gráficos de control multivariantesMatías Gámez Martínez0Esteban Alfaro Cortés1José Luis Alfaro Navarro2Noelia García Rubio3Universidad de Castilla, Facultad de Ciencias Económicas y Empresariales de AlbaceteUniversidad de Castilla, Facultad de Ciencias Económicas y Empresariales de AlbaceteUniversidad de Castilla, Facultad de Ciencias Económicas y Empresariales de AlbaceteUniversidad de Castilla, Facultad de Ciencias Económicas y Empresariales de AlbaceteIn statistical quality control, one of the most widely used tools are the control charts. The main problem of the multivariate control charts lies in that they only indicate that a change in the process has happened, but they do not show which variable or variables are the source of this change. In the specialized literature there are many approaches to tackle this problem, although the most usual consists on the decomposition of the T2 statistic. In this research, we propose an alternative method through the application of classification trees. The results show that this method constitutes a good tool to help to interpret the multivariate control charts. Keywords: Statistic Process Control, T2 Hotelling, Classification trees.https://revistas.ucr.ac.cr/index.php/matematica/article/view/1417
collection DOAJ
language Spanish
format Article
sources DOAJ
author Matías Gámez Martínez
Esteban Alfaro Cortés
José Luis Alfaro Navarro
Noelia García Rubio
spellingShingle Matías Gámez Martínez
Esteban Alfaro Cortés
José Luis Alfaro Navarro
Noelia García Rubio
Árboles de clasificación para el análisis de gráficos de control multivariantes
Revista de Matemática: Teoría y Aplicaciones
author_facet Matías Gámez Martínez
Esteban Alfaro Cortés
José Luis Alfaro Navarro
Noelia García Rubio
author_sort Matías Gámez Martínez
title Árboles de clasificación para el análisis de gráficos de control multivariantes
title_short Árboles de clasificación para el análisis de gráficos de control multivariantes
title_full Árboles de clasificación para el análisis de gráficos de control multivariantes
title_fullStr Árboles de clasificación para el análisis de gráficos de control multivariantes
title_full_unstemmed Árboles de clasificación para el análisis de gráficos de control multivariantes
title_sort árboles de clasificación para el análisis de gráficos de control multivariantes
publisher Universidad de Costa Rica
series Revista de Matemática: Teoría y Aplicaciones
issn 2215-3373
publishDate 2009-02-01
description In statistical quality control, one of the most widely used tools are the control charts. The main problem of the multivariate control charts lies in that they only indicate that a change in the process has happened, but they do not show which variable or variables are the source of this change. In the specialized literature there are many approaches to tackle this problem, although the most usual consists on the decomposition of the T2 statistic. In this research, we propose an alternative method through the application of classification trees. The results show that this method constitutes a good tool to help to interpret the multivariate control charts. Keywords: Statistic Process Control, T2 Hotelling, Classification trees.
url https://revistas.ucr.ac.cr/index.php/matematica/article/view/1417
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