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Out-of-control signals in three-part compositional T2 control chart

nterpretation of out-of-control signals in multivariate control charts is a persistent problem. Identifying the variables contributing to the signal is of crucial importance for process control. Both procedures turn out to be more complicated when observations are compositions (variables adding to a constant sum). Compositional T-2 control chart (TC2) is suitable for monitoring compositions because it is based on a transformation of the data, which moves it from restricted to real space. This paper proposes a method for interpreting the out-of-control signals of the TC2 control chart for three-part compositions on the basis of an appropriate selection of the transformation. An example of industrial application illustrates the introduced techniques

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 PhD studies (BR2011/66)

© Quality and Reliability Engineering International, 2014, vol. 30, núm. 3, p. 337-346

Wiley

Author: Vives Mestres, Marina
Daunis i Estadella, Josep
Martín Fernández, Josep Antoni
Date: 2014 April
Abstract: nterpretation of out-of-control signals in multivariate control charts is a persistent problem. Identifying the variables contributing to the signal is of crucial importance for process control. Both procedures turn out to be more complicated when observations are compositions (variables adding to a constant sum). Compositional T-2 control chart (TC2) is suitable for monitoring compositions because it is based on a transformation of the data, which moves it from restricted to real space. This paper proposes a method for interpreting the out-of-control signals of the TC2 control chart for three-part compositions on the basis of an appropriate selection of the transformation. An example of industrial application illustrates the introduced techniques
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 PhD studies (BR2011/66)
Format: application/pdf
ISSN: 0748-8017 (versió paper)
1099-1638 (versió electrònica)
Document access: http://hdl.handle.net/10256/10933
Language: eng
Publisher: Wiley
Collection: MINECO/PN 2013-2015/MTM2012-33236
MICINN/PN 2010-2012/MTM2009-13272
AGAUR/2009-2014/2009 SGR-424
Reproducció digital del document publicat a: http://dx.doi.org/10.1002/qre.1583
Articles publicats (D-IMA)
Is part of: © Quality and Reliability Engineering International, 2014, vol. 30, núm. 3, p. 337-346
Rights: Tots els drets reservats
Subject: Anàlisi multivariable
Multivariate analysis
Title: Out-of-control signals in three-part compositional T2 control chart
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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