Volume 33, Issue 1 (IJIEPR 2022)                   IJIEPR 2022, 33(1): 68-85 | Back to browse issues page

XML Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Hakimi A, Farughi H, Amiri A, Arkat J. Phase I Monitoring of Multivariate Ordinal Based Processes: The MR and LRT Approaches (A Real Case Study in Drug Dissolution Process). IJIEPR 2022; 33 (1) :68-85
URL: http://ijiepr.iust.ac.ir/article-1-1245-en.html
Phase I Monitoring of Multivariate Ordinal Based Processes: The MR and LRT Approaches (A Real Case Study in Drug Dissolution Process)
Ahmad Hakimi1 , Hiwa Farughi 2, Amirhossein Amiri3 , Jamal Arkat4
1- Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan
2- Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran , h.farughi@uok.ac.ir
3- Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran
4- Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran
Abstract:   (2415 Views) 
In some statistical processes monitoring (SPM) applications, relationship between two or more ordinal factors is shown by an ordinal contingency table (OCT) and it is described by the ordinal Log-linear model (OLLM). Newton-Raphson algorithm methods have also been used to estimate the parameters of the log-linear model. In this paper, the OLLM based processes is monitored using MR and likelihood ratio test (LRT) approaches in Phase I. Some simulation studies are applied to performance evaluation of the proposed approaches in terms of probability of signal under step shifts, drifts and the presence of outliers. Results show that, by imposing the small and moderate shifts in the ordinal log-linear model parameters, the MR statistic has better performance than LRT. In addition, a real case study in dissolution testing in pharmaceutical industry is employed to show the application of the proposed control charts in Phase I. 
Keywords: Ordinal log-linear model, Likelihood ratio test, Statistical process monitoring, Drug dissolution, Phase I.
Full-Text [PDF 954 kb]   (708 Downloads)    
Type of Study: Research | Subject: Statistical Process Control Statistical Process Control or Quality Control
Received: 2021/04/18 | Accepted: 2022/01/10 | Published: 2022/03/19
Add your comments about this article : Your username or Email:
CAPTCHA
Send email to the article author

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.