Consider starting a side project, that you have your own analytics on. This lets you explore, play, do practice analysis and also see the effect that it has on your own project. It means you can dabble, muck around, and just see how things work.
It also gives you a safe place to try stuff, and then you can take that to work if you want.
This is usually a stand out habit of the top analytics folks, they have had their own side project, where they played, learned. And then were able to apply those earnings, or round out their skills.