I think the SPC tests for detecting process shift would be EWMA and Cusum. The code has EWMA support, but it relies on a function to work and so is tied directly to PostgreSQL.
I use the binomial CIs in dashboarding scenarios, so if the user selects a different subset of data, all the graphs are auto-updated (on the SQL side). Which when you get people subset into tinier slices of data it becomes more important.
So if you can upfront identify the processes you want to monitor, then when flagged have this send an alert. That is better than a dashboard forcing people to click on stuff and hope they identify a anomaly in the process.