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Growing Science » International Journal of Industrial Engineering Computations » Modeling quality control data using mixture of parametrical distributions

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International Journal of Industrial Engineering Computations
ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print)
Quarterly Publication
Volume 4 Issue 3 pp. 417-426, 2013

Modeling quality control data using mixture of parametrical distributions Pages 417-426 PDF Download PDF

Authors: Jorge Alberto Achcar, Claudio Luis Piratelli, Roberto Molina de Souza

📋 Author Affiliations:
Jorge Alberto Achcar1, Claudio Luis Piratelli2, Roberto Molina de Souza ORCID 3
1 Department of Social Medicine, University of São Paulo, CEP: 14049-900. Ribeirão Preto - SP, Av. Bandeirantes, 3900 - Monte Alegre, Brazil
2 University Center of Araraquara, CEP 14801-340. Araraquara - SP, Rua Carlos Gomes, 1338 - Centro, Brazil
3 Aeronautics Institute of Technology (ITA), Brazil
doi 10.5267/j.ijiec.2013.03.003
1 Source: Scopus
Crossref 1 Source: CrossRef

🔑 Keywords: Bayesian methods, MCMC methods, Mixture models, Quality control times, Regression

Abstract: In this paper, we present a Bayesian analysis of a data set selected from a Brazilian food company. This data set represents the times taken for different quality control analysts to test manufactured products arriving at the company’s quality control department. The samples selected from each batch contain mixtures of different products, which may be submitted to quality testing taking different times. From preliminary analysis of the data, it was observed that the histograms presented two clusters, indicating a mixture of distributions. A mixture of parametrical distributions was thus assumed in the presence of a covariate in order to analyze the data set and to establish standards to be used by the company for the times taken by the analysts. Inferences and predictions are obtained using a Bayesian approach with standard existing Markov Chain Monte Carlo (MCMC) methods.

How to cite this paper
APA: Achcar, J., Piratelli, C & Souza, R. (2013). Modeling quality control data using mixture of parametrical distributions. International Journal of Industrial Engineering Computations, 4(3), 417-426.
Chicago/Turabian: Achcar, J., Piratelli, C & Souza, R. 2013. "Modeling quality control data using mixture of parametrical distributions." International Journal of Industrial Engineering Computations 4, no. 3 (2013): 417-426.
AMA: Achcar, J., Piratelli, C & Souza, R. Modeling quality control data using mixture of parametrical distributions. International Journal of Industrial Engineering Computations. 2013;4(3):417-426.

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📚 Journal: International Journal of Industrial Engineering Computations | 📅 Year: 2013 | 📖 Volume: 4 | 📄 Issue: 3 | 👁️ Views: 2458 | 📊 Crossref: 1

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