Multivariate Monitoring Charts for Log-Binomial Regression

The log-binomial regression model is an essential tool for performing relative risk regression to analyze binary outcomes. The Hotelling T2 Control Chart is an effective multivariate process monitoring tool capable of monitoring changes in multiple variables simultaneously. This article combines a multivariate log-binomial regression model with a Hotelling T2 control chart to monitor multiple regression coefficients simultaneously. The challenge is to ensure that the probability of the event occurring (p) does not exceed 1 when adding data drift.