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Could CODA Methodology be Useful in Control Chart Techniques?

On standard control charts, the hypothesis of normality is usually assumed without any additionalverification. Nevertheless, in some cases this assumption is not accurate and might cause errors inprocess quality monitoring. In particular, for the control of the proportion of nonconforming units(p-chart) the normality is doubtful when p is small and consequently, lower control limit less than orequal to zero are frequent. Some authors have proposed new techniques to define limits in the p-chart.Others have proposed transformations to improve the detection of special causes.In X-bar charts, the mean of a critical to quality (CTQ) characteristic is monitored. When thevariable is far from normality, then parametric, or even nonparametric, control charts might be used.Recent works suggest applying transformations to make the data quasi-normal. This kind of lack ofnormality is usually present when in those analyses CTQ is a part of a composition.Our proposal is to highlight how above mentioned problems can be treated from a compositionalpoint of view. New strategies are proposed and illustrated trough a case study where a proportionhas the role of a CTQ

Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada

Other contributions: Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
Author: Vives Mestres, Marina
Daunis i Estadella, Josep
Martín Fernández, Josep Antoni
Abstract: On standard control charts, the hypothesis of normality is usually assumed without any additionalverification. Nevertheless, in some cases this assumption is not accurate and might cause errors inprocess quality monitoring. In particular, for the control of the proportion of nonconforming units(p-chart) the normality is doubtful when p is small and consequently, lower control limit less than orequal to zero are frequent. Some authors have proposed new techniques to define limits in the p-chart.Others have proposed transformations to improve the detection of special causes.In X-bar charts, the mean of a critical to quality (CTQ) characteristic is monitored. When thevariable is far from normality, then parametric, or even nonparametric, control charts might be used.Recent works suggest applying transformations to make the data quasi-normal. This kind of lack ofnormality is usually present when in those analyses CTQ is a part of a composition.Our proposal is to highlight how above mentioned problems can be treated from a compositionalpoint of view. New strategies are proposed and illustrated trough a case study where a proportionhas the role of a CTQ
Document access: http://hdl.handle.net/2072/273440
Language: eng
Publisher: Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
Rights: Tots els drets reservats
Subject: Anàlisi multivariable -- Congressos
Multivariate analysis -- Congresses
Estadística matemàtica -- Congressos
Mathematical statistics -- Congresses
Anàlisi d’error (Matemàtica) -- Congressos
Error analysis (Mathematics) -- Congresses
Title: Could CODA Methodology be Useful in Control Chart Techniques?
Type: info:eu-repo/semantics/conferenceObject
Repository: Recercat

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