Generalized linear model based gamma control chart

Traditional monitoring techniques are frequently used for monitoring a response variable, while ignoring the other important variables. A simple linear regression model to introduce covariates-based charts has received a lot of attention in the recent publications. When the response variable belongs to the exponential family, the generalized linear model (GLM) is a flexible approach to model a phenomenon. This study uses gamma distribution to introduce GLM-based Shewhart-type control charts. The monitoring statistic is developed using the Pearson residuals (PRs) obtained from the gamma regression model. The suggested charts' performance is evaluated using the run-length properties and extensive Monte Carlo simulations. A comparison of Pearson-residual to the deviance-residual charts is also discussed in this article. Finally, to emphasize the significance of the study, the proposed control charts are implemented on a real-life data set.