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A novel approach for estimating the ARL-BIAS severity of shewhart p-charts

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A novel approach for estimating the ARL-BIAS severity of shewhart p-charts

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dc.contributor.author Argoti-Morales, Marco Antonio es_ES
dc.contributor.author Carrión García, Andrés es_ES
dc.date.accessioned 2019-07-10T20:01:56Z
dc.date.available 2019-07-10T20:01:56Z
dc.date.issued 2018 es_ES
dc.identifier.issn 1800-6450 es_ES
dc.identifier.uri http://hdl.handle.net/10251/123457
dc.description.abstract [EN] The Shewhart p-Chart is a widely used and taught control chart that monitors the process fraction of nonconforming, p. The control limits of this chart are computed from an equation derived from the central limit theorem that assumes the parameters p and sample size, n, provide a good approximation of the binomial to the normal distribution. It is known that if the approximation is poor the chart becomes ARL-biased with a consequent deterioration of its process improvement detection capability. Hence, if one is to use this chart its ARL-biased severity ought to be established in advance. Three parameters are used to estimate a chart's ARL-bias severity, namely the in-control ARL, the relative ARL-bias and the maximum out of control ARL. However, calculating these parameters is a task that requires of lengthy calculations that often entails the use of specialised software. In this paper we present a new approach that facilitates the estimation of the bias severity, this approach consists of a closed-form equation that eases the calculations of the ARL-bias parameters and of a graphical method that permits assessing a p-Chart's ARL-bias severity level according to the severity zone in which its n and p values fall into. es_ES
dc.language Inglés es_ES
dc.publisher University of Kragujevac, Center of Quality es_ES
dc.relation.ispartof International Journal for Quality Research es_ES
dc.rights Reconocimiento - No comercial (by-nc) es_ES
dc.subject Attribute chart es_ES
dc.subject Average run length es_ES
dc.subject ARL-bias es_ES
dc.subject Control chart es_ES
dc.subject Fraction non-conforming es_ES
dc.subject P-Chart es_ES
dc.subject.classification ESTADISTICA E INVESTIGACION OPERATIVA es_ES
dc.title A novel approach for estimating the ARL-BIAS severity of shewhart p-charts es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.18421/IJQR12.01-12 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Estadística e Investigación Operativa Aplicadas y Calidad - Departament d'Estadística i Investigació Operativa Aplicades i Qualitat es_ES
dc.description.bibliographicCitation Argoti-Morales, MA.; Carrión García, A. (2018). A novel approach for estimating the ARL-BIAS severity of shewhart p-charts. International Journal for Quality Research. 12(1):209-226. https://doi.org/10.18421/IJQR12.01-12 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.18421/IJQR12.01-12 es_ES
dc.description.upvformatpinicio 209 es_ES
dc.description.upvformatpfin 226 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 12 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\354620 es_ES


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