1.92 stops? It seems to be a little known fact that you get less depth of field as format size increases. And by how much. Relative to full frame, just multiply the f/number by the crop factor, which gives about one and a quarter stops for Canon/Nikon crop, and exactly two stops for 4/3rds format. Canon 1D at 1.3x is just under one stop.
I've also had debates on here where people deny this based on a skewed application of theory and focal length. The truth is that focal length is primarily relevant to angle of view, so that has to change with format for you to frame the picture in a similar way. A 50mm lens on full frame is about the same as a 30mm lens on crop (actually 31mm Canon, and 33mm Nikon). So the image size is smaller, so depth of field is increased. Check it out on
www.dofmaster.com and keep the focusing distance and the f/number the same, but change the camera format and focal length to maintain the same angle of view, and there you have it.
If you want shallow depth of field, then full frame does it better than crop, and vice versa. In all the arguments about crop vs full frame, this is one fundamental that technology can never change. So if that is important to you, and it probably should be, then an alternative to the 70-200 f/2.8 on a crop camera, is the 70-200 f/4 on full frame. But then you also loose the reach
These desicions are never easy.
But if you only want f/2.8 for it's low light capability, then IS helps massively with static subjects, and upping the ISO is another option with modern cameras that are really very good at ISO levels unheard of a few years ago.