Let’s say I have a time series of store sales for a store. I have specific times where an intervention occurred, for example a store inspection. Each intervention is done by a coach using a specific questionnaire (for example food safety). How could I quantify the effect of the interventions on the store sales after an intervention, also quantify the effect of each coach and how long the effect usually stay there if there is one?
I am thinking a hierarchical model, where stores, coachs and questionnaires each share some priors, but not sure where to start.