It's actually pretty simple. Same lens (e.g. not a 25mm for m4/3 vs a 50 for FF) has the same DOF with any given sensor size, if:
1. You print the image such that the subject matter is the same size.
So if you take a photo of a person with the exact same lens, at same distance from lens to subject, and put any of these backs attached: ff film, ff digital, aps-c, aps-h, m4/3, and print so that in each image the person (subject) is the same height, the DOF must be the same. [...]
I urge you to spend a few dollars and hours and test this out for yourself with prints.