In our company, we are moving some teams to scrum. Before scrum, it seems we don't have a lot of visibility into the productivity of the teams, and we don't necessarily have a way to measure the quality of the output the teams produce.
With the teams which have moved to scrum, senior management and the teams who have made the switch see the value. The development teams love the collective ownership and protection from disruptions, and the senior managers love being able to have a platform to have their feedback heard in the sprint review meetings. We have also had "anecdotal evidence" in the form of customers saying things like "Wow! What happened to you all? Did you get funding or something?" in response to the perceived faster development.
So, scrum feels faster. It feels nicer. But unfortunately many people still want to see hard data and don't like fuzzy warm feelings or evidence based on observation alone.
Is there any way to measure productivity against an old system where you previously had little to no data? How does one approach convincing other teams in the organization that there are benefits to using agile methodologies like scrum when there's no hard data?