Title: Phase II monitoring of the nominal logistic regression profiles based on Wald and Rao score test statistics (a case study in healthcare: diabetic patients)

Authors: Kasra Jahani; Hamidreza Feili; Fereydon Ohadi

Addresses: Department of Industrial Engineering, Faculty of Engineering, Islamic Azad University, Branch of Karaj, Iran ' Department of Industrial Engineering, Faculty of Engineering, Islamic Azad University, Branch of Karaj, Iran ' Department of Industrial Engineering, Faculty of Engineering, Islamic Azad University, Branch of Karaj, Iran

Abstract: In many statistical process monitoring (SPM), quality of process or product describes by a relationship between one or more predictor variable(s) and a nominal response variable called nominal logistic regression profile (NLRP). In this paper, two control charts including Wald and Rao score test (RST) is developed to monitor NLRP in Phase II. In addition, to evaluate the parameter estimation effect on the performance of control charts, maximum likelihood estimation (MLE) is developed in Phase I. Performance of the proposed control charts are evaluated using some simulation studies and results show that Wald control chart has better performance than RST chart under different shifts in NLRP parameters. Furthermore, to show the efficiency of the proposed approaches in real application, a case study in health-care is applied. Real case results is also showed that Wald control chart has better performance in faster detecting the out-of-control condition.

Keywords: nominal logistic regression profile; NLRP; control chart; Phase II; statistical process monitoring; SPM; healthcare systems.

DOI: 10.1504/IJPQM.2019.100142

International Journal of Productivity and Quality Management, 2019 Vol.27 No.2, pp.161 - 176

Available online: 11 Jun 2019 *

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