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Individual T-2 Control Chart for Compositional Data

The usual Hotel ling T-2 control chart is not appropriate for monitoring processes where the quality characteristic is a mixture. The composition of mixtures are vectors of positive elements that represent parts of a whole, to which standard multivariate techniques are not appropriate due to their restricted sample space. There are many applications where a mixture is monitored against time, such as in the chemical industry, product composition, impurity profile, or gas components analysis. In this paper, a multivariate control chart for individual compositional observations based on the T-2 statistic is proposed and compared with the typical one in terms of average run length. We show how results are more consistent with compositional data nature and illustrate implementation in a real-world example

This work has been partially financed by the Agencia de Gestio d’Ajuts Universitaris i de Recerca (Ref: 2009SGR424) and by the Ministerio de Ciencia e Innovacion (Ref: MTM2012-33236 and Ref: MTM2009-13272). The authors wish to thank the Universitat de Girona for the grant given to Marina Vives-Mestres during her doctoral studies

American Society for Quality

Manager: Ministerio de Economía y Competitividad (Espanya)
Generalitat de Catalunya. Agència de Gestió d’Ajuts Universitaris i de Recerca
Ministerio de Ciencia e Innovación (Espanya)
Author: Vives Mestres, Marina
Daunis i Estadella, Josep
Martín Fernández, Josep Antoni
Date: 2018 June 5
Abstract: The usual Hotel ling T-2 control chart is not appropriate for monitoring processes where the quality characteristic is a mixture. The composition of mixtures are vectors of positive elements that represent parts of a whole, to which standard multivariate techniques are not appropriate due to their restricted sample space. There are many applications where a mixture is monitored against time, such as in the chemical industry, product composition, impurity profile, or gas components analysis. In this paper, a multivariate control chart for individual compositional observations based on the T-2 statistic is proposed and compared with the typical one in terms of average run length. We show how results are more consistent with compositional data nature and illustrate implementation in a real-world example
This work has been partially financed by the Agencia de Gestio d’Ajuts Universitaris i de Recerca (Ref: 2009SGR424) and by the Ministerio de Ciencia e Innovacion (Ref: MTM2012-33236 and Ref: MTM2009-13272). The authors wish to thank the Universitat de Girona for the grant given to Marina Vives-Mestres during her doctoral studies
Document access: http://hdl.handle.net/2072/320791
Language: eng
Publisher: American Society for Quality
Rights: Tots els drets reservats
Subject: Anàlisi multivariable
Multivariate analysis
Title: Individual T-2 Control Chart for Compositional Data
Type: info:eu-repo/semantics/article
Repository: Recercat

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