Shewhart control chart of Poisson regression under ridge regression

Abstract

The control chart is important in many fields. A residual control chart is a graph and statistical tool used to monitor a process or product. This study uses a new 2 k estimator with only a k estimator from (Yassin & Mohamed, 2022) and makes a comparison between them. Therefore, this study is made up of two parts. The first part deals with generating and real data following Poisson regression with respect to a multicollinearity problem and using ridge regression to solve it. The second part includes drawing a residual-based Shewhart control chart and calculating the Average Run Length. A sample of water was taken after treatment, and control charts were prepared after resolving multicollinearity problems in the relevant data via ridge regression.