How can I get totally anonymous from an app on android & bluestack

I am using an app on android I have confirmed that : - if I clear the app data or even reinstall the app from google play, the app does have a specific behaviour - if I install the app on a completely new device (I'm actually using bluestack android emulator), the app does have a different behaviour => hence, what is the data specific to an android install an app can access? how can I change this data without reinstalling the entire os?