Profile Monitoring for Compositional Data

Rubén Darío Guevara Gonzalez; José Alberto Vargas Navas; Dorian Luis Linero Segrera

Ayuda

Profile Monitoring for Compositional Data

RUBÉN DARÍO GUEVARA-GONZÁLEZ ^[1] ; JOSÉ ALBERTO VARGAS-NAVAS ^[1] ; DORIAN LUIS LINERO-SEGRERA ^[1]
1. [1] Universidad Nacional de Colombia
  
  Universidad Nacional de Colombia
  
  Colombia
Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 37, Nº. 1, 2014, págs. 159-181
Idioma: inglés
DOI: 10.15446/rce.v37n1.44364
Títulos paralelos:
- Monitoreo de perfiles para datos composicionales
Enlaces
- Texto completo
Resumen
- español
  En un gran número de aplicaciones la calidad de un producto o proceso está mejor representada por una relación funcional entre una variable de respuesta y una o más variables explicatorias. El monitoreo de perfiles permite entender y chequear la estabilidad de esta relación funcional a través del tiempo. En algunas aplicaciones con datos composicionales, la relación puede ser representada por un modelo de regresión Dirichlet. En este artículo nosotros evaluamos cinco cartas de control T² para monitorear estos perfiles en Fase I. Un ejemplo real asociado a la producción de concreto es presentado.
- English
  In a growing number of quality control applications, the quality of a product or process is best characterized and summarized by a functional relationship between a response variable and one or more explanatory variables. Profile monitoring is used to understand and to check the stability of this relationship over time. In some applications with compositional data, the relationship can be characterized by a Dirichlet regression model. We evaluate five T² control charts for monitoring these profiles in Phase I. A real example from production of concrete is given.
Referencias bibliográficas
- A. Yeh,Y. Zerehsaz. (2013). 'Phase I Control of Simple Linear Profiles with Individual Observations'. Quality and Reliability Engineering...
- A.. Amiri,C. Zou,M. H. Doroudyan. (2014). 'Monitoring correlated profile and multivariate quality characteristics'. Quality and Reliability...
- Andrew Kusiak,Haiyang Zheng,Zhe. Song. (2009). 'Models for monitoring wind farm power'. Renewable Energy. 34. 583-590
- Arthur B. Yeh,Longcheen Huwang,Yu--Mei. Li. (2009). 'Profile monitoring for a binary response'. IIE Transactions. 41. 931-941
- Arthur Lyons. (2008). Materials for Architects and Builders. Elsevier.
- Changliang Zou,Chunguang Zhou,Zhaojun Wang,Fugee. Tsung. (2007). 'A self-starting control chart for linear profiles'. Journal of Quality...
- Changliang Zou,Xianghui Ning,Fugee Tsung. (2012). 'LASSO-based multivariate linear profile monitoring'. Annals of Operations Research....
- Changliang Zou,Yujuan Zhang,Zhaojun. Wang. (2006). 'A control chart based on a change-point model for monitoring linear profiles'....
- F.S. Stover,R.V. Brill. (1998). 'Statistical Quality Control Applied to Ion Chromatography Calibrations'. Journal of Chromatography....
- Guiqin Yang,Daren B. H. Cline,Robert L. Lytton,Dallas N. Little. (2004). 'Ternary and multivariate quality control charts of aggregate...
- J. Aitchison. (1986). The Statistical Analysis of Compositional Data. Chapman & Hall.
- J. Aitchison. (2003). The Statistical Analysis of Compositional Data. Blackburn Press.
- James D. Williams,William H. Woodall,Jeffrey B. Birch. (2007). 'Statistical Monitoring of Nonlinear Product and Process Quality Profiles'....
- Joe H. Sullivan,William H. Woodall. (1996). 'A comparison of multivariate control charts for individual observations'. Journal of...
- José Alberto Vargas. (2003). 'Robust Estimation in Multivariate Control Charts for Individual Observations'. Journal of Quality Technology....
- K. L. Vasconcellos,F. Cribari-Neto. (2005). 'Improved maximum likelihood estimation in a new class of Beta regression models'. Brazilian...
- Kai Wang Ng,Guo-Liang Tian,Man-Lai Tang. (2011). Dirichlet and related distributions: Theory, methods and applications.. John Wiley &...
- Kaibo Wang,Fugee. Tsung. (2005). 'Using Profile Monitoring Techniques for a Data-rich Environment with Huge Sample Size'. Quality...
- Keunpyo Kim,Mahmoud A. Mahmoud,William H. Woodall. (2003). 'On The Monitoring of Linear Profiles'. Journal of Quality Technology....
- Lan Kang,Susan L. Albin. (2000). 'On-line Monitoring When the Process Yields a Linear Profile'. Journal of Quality Technology. 32....
- M. Eyvazian,R. Noorossana,Abbas Saghaei,Amirhossein Amiri. (2011). 'Phase II monitoring of multivariate multiple linear regression profiles'....
- M.G. Alexander,S. Mindess. (2005). Aggregates in Concrete. Taylor & Francis.
- Mahmoud A. Mahmoud. (2008). 'Phase I Analysis of Multiple Linear Regression Profiles'. Communications in Statistics-Simulation and...
- Mahmoud A. Mahmoud,Peter A. Parker,William H. and Douglas M. Hawkins Woodall. (2007). 'A change point method for linear profile data'....
- Mahmoud A. Mahmoud,William H. Woodall. (2004). 'Phase I Analysis of Linear Profiles with Calibration Applications'. Technometrics....
- Marco J. Maier. (2011). DirichletReg: Dirichlet Regression in R.
- Marina Vives-Mestres,Josep Daunis-i-Estadella,Josep Antoni Martín-Fernández. (2013). 'Out of control signals in three part compositional...
- P. Qiu. (2013). Introduction to Statistical Process Control. CRC Press.
- P. Soleimani,A. Narvand,S. Raissi. (2013). 'Online monitoring of autocorrelated linear profiles via mixed model'. International Journal...
- P.J. Rousseeuw,B.C. Van Zomeren. (1990). 'Unmasking multivariate outlier and leverage points'. Journal of the American Statistical...
- R. Noorossana,M. Eyvazian,A. Amiri,Mahmoud A. Mahmoud. (2010). 'Statistical monitoring of multivariate multiple linear regression profiles...
- R. Noorossana,M. Eyvazian,A. Vaghefi. (2010). 'Phase II monitoring of multivariate simple linear profiles'. Computers & Industrial...
- Ralitza Gueorguieva,Robert Rosenheck,Daniel Zelterman. (2008). 'Dirichlet component regression and its applications to psychiatric data'....
- Rassoul Noorossana,Abbas Saghaei,Amirhossein Amiri. (2012). Statistical Analysis of Profile Monitoring. John Wiley & Sons.
- Russell A. Boyles. (1997). 'Using the chi-square statistic to monitor compositional process data'. Journal of Applied Statistics....
- Silvia L.P. Ferrari,Francisco Cribari-Neto. (2004). 'Beta regression for modelling rates and proportions'. Journal of Applied Statistics....
- Tatiane F.N. Melo,Klaus L.P. Vasconcellos,ArthurJ. Lemonte. (2009). 'Some restriction tests in a new class of regression models for proportions'....
- V. Pawlowsky-Glahn,J.J. Egozcue. (2006). Compositional Data Analysis in the Geosciences: From Theory to Practice. Geological Society.
- W. A. Jensen,J. B. Birch,W. H. Woodall. (2007). 'High breakdown estimation methods for phase I multivariate control charts'. Quality...
- William H. Woodall. (2007). 'Current research in profile monitoring'. Producao. 17. 420-425
- William H. Woodall,Dan J. Spitzner,Douglas C. Montgomery,Shilpa Gupta. (2004). 'Using control charts to monitor process and product quality...
- Y. Zhang,Z. He,C. Zhang,W. H. Woodall. (2013). 'Control Charts for Monitoring Linear Profiles with Within Profile Correlation Using Gaussian...
- Zongjin Li. (2011). Advanced Concrete Technology. John Wiley & Sons.