NDA Based Hierarchical Classification Scheme for Identifying the Contributors to a Multivariate Control Chart

2011 ◽  
Vol 467-469 ◽  
pp. 427-432
Author(s):  
H.Y. Huang ◽  
Jong Chih Chien
Keyword(s):  
Control Charts ◽  
Classification Scheme ◽  
Hierarchical Classification ◽  
Property A ◽  
Multivariate Control Charts ◽  
Related Quality ◽  
Control Event ◽  
Multivariate Control Chart ◽  
Multivariate Control ◽  
Interpretation Problem

Many multivariate control charts have been proposed for monitoring several related quality characteristics simultaneously. However, even when an out-of-control signal is detected, the employed multivariate control charts generally do not provide any interpretable information associated with that signal. That is, the contributors of the out-of-control event can not be identified by the charts. Hence, how to tackle this interpretation problem effectively is an important issue in multivariate process control. One rarely addressed but very crucial property of this interpretation problem is that the number of possible outcomes can be very large. According to this key property, a nonparametric discriminant analysis (NDA)-based hierarchical classification scheme is proposed in this paper. A simulation experiment including several popular classification methods was conducted for evaluating the performance of the proposed method. The result shows that our proposed scheme is very competitive when measured against these popular methods.

scholarly journals On multivariate control charts

Production ◽  
2011 ◽  
Vol 21 (2) ◽  
pp. 235-241 ◽  
Author(s):  
Marianne Frisén
Keyword(s):  
Control Chart ◽  
Industrial Production ◽  
Control Charts ◽  
Multivariate Control Charts ◽  
Multivariate Control Chart ◽  
Multivariate Control

Industrial production requires multivariate control charts to enable monitoring of several components. Recently there has been an increased interest also in other areas such as detection of bioterrorism, spatial surveillance and transaction strategies in finance. In the literature, several types of multivariate counterparts to the univariate Shewhart, EWMA and CUSUM methods have been proposed. We review general approaches to multivariate control chart. Suggestions are made on the special challenges of evaluating multivariate surveillance methods.

scholarly journals Propuesta de Carta de Control Multivariada utilizando la Media Winsorizada basada en la Carta |S| / Proposed Multivariate Control Chart using Winsorized Mean based on the |S| Chart

2018 ◽  
Vol 29 (1) ◽  
pp. 65-79
Author(s):  
Rister Junior Barreto Pombo ◽  
Angellys Paola Ariza Guerrero ◽  
Roberto José Herrera Acosta
Keyword(s):  
Covariance Matrix ◽  
Control Chart ◽  
Control Charts ◽  
Quality Monitoring ◽  
Multivariate Control Charts ◽  
Global Quality ◽  
Simultaneous Evaluation ◽  
Multivariate Control Chart ◽  
Implementation Methodology ◽  
Multivariate Control

Resumen— El monitoreo global de la calidad de un producto está sujeto a la evaluación simultánea de varias de sus características; es necesario bajo estas condiciones la implementación de las cartas de control tipo multivariadas. La variabilidad, en este caso la matriz de varianza covarianza, es sin duda el más importante de los estadísticos desde la perspectiva multivariada, que puede ser monitoreada con distintas cartas. Entre éstas se encuentran: las cartas Shewhart, CUSUM y EWMA. En este artículo se desarrolla una metodología de implementación de la Media Winsorizada en la carta de control multivariada de varianza efectiva |S|, encontrando una gran utilidad en procesos con valores extremos.  El estudio muestra además una comparación entre la carta de control tradicional multivariante y la carta propuesta, que muestra mayor sensibilidad.Abstract— The global quality monitoring of a product is often subject to the simultaneous evaluation of several of its features; under these circumstances it is necessary to implement multivariate control charts. Variability, in this particular case, the variance-covariance matrix is indisputably the most important of the statistics from the multivariate perspective and it can be monitored with different charts, among these: Shewhart, CUSUM and EWMA. This article develops the Winsorized Mean in the effective variance multivariate control |S|-chart implementation methodology and it was demonstrated that the modification was more efficient when the sample hat outliers. This study shows a comparison between the traditional multivariate control chart and a proposed chart which was found to have more sensitivity. 

scholarly journals Use of multivariate control charts to assess the status of reef fish assemblages in the Northwestern Hawaiian Islands

PeerJ ◽  
2017 ◽  
Vol 5 ◽  
pp. e3651 ◽  
Author(s):  
Atsuko Fukunaga ◽  
Randall K. Kosaki
Keyword(s):  
Reef Fish ◽  
Control Charts ◽  
Fish Assemblages ◽  
Confidence Bounds ◽  
Multivariate Control Charts ◽  
National Monument ◽  
Northwestern Hawaiian Islands ◽  
The Status ◽  
Multivariate Control Chart ◽  
Multivariate Control

A distance-based multivariate control chart is a useful tool for ecological monitoring to detect changes in biological community resulting from natural or anthropogenic disturbances at permanent monitoring sites. It is based on a matrix of any distances or dissimilarities among observations obtained from species composition and abundance data, and bootstrapping techniques are used to set upper confidence bounds that trigger an alarm for further investigations. We extended the use of multivariate control charts to stratified random sampling and analyzed reef fish monitoring data collected annually on shallow (≤30 m) reefs across the Northwestern Hawaiian Islands (NWHI), part of the Papahānaumokuākea Marine National Monument. Fish assemblages in the NWHI were mostly stable, with exceptions in the south region (Nihoa, Mokumanamana and French Frigate Shoals) in 2012 and 2015 where changes in the assemblage structure exceeded the upper confidence bounds of multivariate control charts. However, these were due to changes in relative abundances of native species, and potentially related to the small numbers of survey sites and relatively low coral covers at the sites, particularly in 2015. The present study showed that multivariate control charts can be used to evaluate the status of biological communities in a very large protected area. Future monitoring of fish assemblages in the Papahānaumokuākea Marine National Monument should be accompanied by specific habitat or environmental variables that are related to potential threats to its shallow-water ecosystems. This should allow for more detailed investigations into potential causes and mechanisms of changes in fish assemblages when a multivariate control chart triggers an alarm.

scholarly journals Systematic literature review of Brazilian research on multivariate control charts

2021 ◽  
Vol 16 (1) ◽  
pp. 122-149
Author(s):  
Renan Mitsuo Ueda ◽  
Leandro Cantorski da Rosa ◽  
Wesley Vieira da Silva ◽  
Ícaro Romolo Sousa Agostino ◽  
Adriano Mendonça Souza
Keyword(s):  
Literature Review ◽  
Bibliometric Analysis ◽  
Systematic Literature Review ◽  
Control Charts ◽  
Design Methodology ◽  
Web Of Science ◽  
Multivariate Control Charts ◽  
Know How ◽  
Multivariate Control ◽  
The Web

Purpose – This paper aims to present a Systematic Literature Review (SLR) of studies in Brazil with applications of multivariate control charts indexed in journals on the Web of Science. Design/methodology/approach – The following steps were carried out: a detailed synthesis was performed on the general characteristics of the corpus, co-citation and collaboration networks analyzed; and a co-occurrence of terms in the text corpus was verified. A Systematic Literature Review was carried out using the protocols set out by Biolchini et al. (2007), Kitchenham (2004) and Tranfield, Denyer and Smart (2003). Papers were selected from the Web of Science database, and after applying filters, results for 29 articles were given to compose the corpus. Findings – A tendency was found for an increase in publications, along with more international research on the issue. The journal most used for publication was the Microchemical Journal. This analysis provided relevant authors for research in this area: Harold Hotelling, Douglas Montgomery, and John Frederick MacGregor. Important Brazilian researchers were highlighted who work mainly in the pharmaceutical and biodiesel industry. Originality/value – No articles were found that had carried out a Systematic Literature Review of Brazilian research on multivariate control charts. The main contributions to this manuscript related to an increase in scientific know-how in the area of multivariate and bibliometric analysis. Keywords - Multivariate Control Charts. Systematic literature review. Bibliometric analysis.

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