Practitioners guide on parametric, nonparametric, and semiparametric profile monitoring

Profile monitoring is one of the methods used in statistical process control ((Formula presented.)) to understand the functional relationship between response and explanatory variables by tracking this relationship and estimating parameters. SPC is done in two phases: In Phase (Formula presented.), a statistical model is created and its parameters estimated using historical data. Phase (Formula presented.) implements the statistical model and monitors the live ongoing process. Control charts are graphical tools used to monitor these functional relationships over time in both Phase (Formula presented.) and Phase (Formula presented.). This study provides a step-by-step application for parametric, nonparametric, and semiparametric methods in profile monitoring and creates an in-depth guideline with comparative analysis studies for novice practitioners. A comparative analysis under each distributional assumption is conducted for various control charts