Generalized linear model based gamma control chart

Abstract

AbstractTraditional 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.