Thanks for the replies. Will watch video shortly.
Followup question: If I'm working on a radio system, which will be connected to an antenna and ground system, is it then necessary/appropriate to tie negative into earth ground? Or is this an "it depends" kind of question?
As usual, w2aew's video gets right to the point. Excellent.
Now, having said that, I wouldn't necessarily use the Gnd terminal. I could create the +- 15V arrangement by just jumpering the appropriate terminals and never make an earth ground connection. As to whether that is a good idea, yes, it depends. It's nice to have things locked down to a ground reference. But it's also a source of annoyance if the ground itself has some kind of noise. It shouldn't have, but it might.
I certainly don't earth reference my battery projects so I can't see a compelling reason to earth reference any other projects. There are exceptions...
Then there is USB... I am going to get a ground reference to any uC project that uses USB to communicate with a desktop (not true if I'm using a laptop running on battery). How many earth grounds do I want? Then there is my scope ground lead - it is earth grounded. All of a sudden, I have a bunch of earth grounds running around my project. Not my first choice! There are USB isolators to remove this ground connection.
Earth grounding is a complicated subject. In general, the earth ground is for safety. It is intended to keep metal surfaces (enclosures and such) from getting 'hot' relative to a presumed grounded person. This would apply to any circuit operating at more than 50V (to ground). Most of my projects run at 5V and whether they are ground referenced depends entirely on whether the scope is being used or there is a USB connection.
Radio is outside my pay grade. I would expect everything to be earth grounded and power supplies to be ground referenced. The last thing you would want is a transmitter output shorted to a chassis.