Enhanced Model for Monitoring and Quality Control Using the Control Chart for Binomial Regression with Application
Mohamed S. Hamed *
Department of Business Administration, Gulf Colleges, KSA, Saudi Arabia and Department of Statistics& Mathematics and Insurance, Faculties of Commerce, Benha University, Egypt.
Shaimaa Y. Mohammed
Bader Institutes for Information's technology, Badr City, Egypt.
Salah m. Mohamed
Department of Applied Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt.
Amal Mohamed Abdel Fattah
Department of Applied Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
The aim of this study is to use a new approach called the Shewhart control chart with binomial regression, but under this condition, there was a multicollinearity problem in binomial regression model, and solving this problem by principal component, binomial regression with control chart is a statistical method used in quality control to monitor and improve the quality of products or services. This method involves using binomial regression to model the relationship between an input variable and output variable, and then integrating control charts to detect any changes in the process over time. The study used another control chart with a new approach and use another mythology to treat multicollinearity problems, also we used missing values and draw control charts.
Keywords: Quality control, model monitoring, shewhart control chart, binomial regression model, Generalized Linear Model (GLM)