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Journal of Industrial and Systems Engineering
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Volume Volume 12 (2019)
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Issue Special issue on Statistical Processes and Statistical Modeling
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Hakimi, A., Farughi, H., Amiri, A., Arkat, J. (2019). New phase II control chart for monitoring ordinal contingency table based processes. Journal of Industrial and Systems Engineering, 12(Special issue on Statistical Processes and Statistical Modeling), 15-34.
Ahmad Hakimi; Hiwa Farughi; Amirhossein Amiri; Jamal Arkat. "New phase II control chart for monitoring ordinal contingency table based processes". Journal of Industrial and Systems Engineering, 12, Special issue on Statistical Processes and Statistical Modeling, 2019, 15-34.
Hakimi, A., Farughi, H., Amiri, A., Arkat, J. (2019). 'New phase II control chart for monitoring ordinal contingency table based processes', Journal of Industrial and Systems Engineering, 12(Special issue on Statistical Processes and Statistical Modeling), pp. 15-34.
Hakimi, A., Farughi, H., Amiri, A., Arkat, J. New phase II control chart for monitoring ordinal contingency table based processes. Journal of Industrial and Systems Engineering, 2019; 12(Special issue on Statistical Processes and Statistical Modeling): 15-34.

New phase II control chart for monitoring ordinal contingency table based processes

Article 2, Volume 12, Special issue on Statistical Processes and Statistical Modeling, Winter 2019, Page 15-34  XML PDF (1.04 MB)
Document Type: Research Paper
Authors
Ahmad Hakimi1; Hiwa Farughi email orcid 1; Amirhossein Amiriorcid 2; Jamal Arkat1
1Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran
2Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran.
Abstract
In some statistical process monitoring applications, quality of a process or product is described by more than one ordinal factors called ordinal multivariate process. To show the relationship between these factors, an ordinal contingency table is used and modeled with ordinal log-linear model. In this paper, a new control charts based on ordinal-normal statistic is developed to monitor the ordinal log-linear model based processes in Phase II. Performance of the proposed control chart is evaluated through simulation studies and a real numerical example. In addition, to show the efficiency of ordinal-normal control chart, performance of the proposed control chart is compared with an existing Generalized-p chart. Results show the better performance of the proposed control chart in detecting the out-of-control condition.
Keywords
Statistical process monitoring; ordinal contingency table; ordinal-normal control chart; Phase
Main Subjects
Quality Control and Statistical Process; Statistics
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