What exactly is "back focusing"?
"Back focusing" means that the camera
consistently focuses behind the intended focus point when using one-point autofocus.
How should I test my system for it?
Apply intelligence to the following suggestion:
Mount your camera on a tripod, and find a table or something that can be slightly below the camera's level (just a few inches will do) to set up your test target on.
Select a nice and contrasty target for focus, such as a calling card with crisp, black print on a white background, place it facing the camera and in plane with the focus plane, and so that the card is close enough to be reasonably easy to focus on.
Select a wide aperture (to reduce DoF effects, but not so wide that your lens is too soft), focus on the target, and switch to manual mode afterwards.
Place objects near the calling card, both in front and back, and make sure that those objects also have nice and contrast-rich detail that will enable you to see whether they're in focus or not. One typical trick is to use a black-on-white ruler, lying on the table. You can also place e.g. another calling card diagonally in the frame, so that the center of the card should be in focus (in plane with the original calling card), while e.g. the left side is closer to the camera and the right side further away.
Take test shots in RAW mode, compare at 100% zoom with no sharpening.
Are there any web sites with authoritative information and not just hearsay?
What do you think is "hearsay" and what do you think is "authorative information"? Is a personal experience report one or the other?
You'll find several such reports here, on both front-focusing and back-focusing.