Some GPS manufacturers add their own 'extra' NMEA sentences to their products I.e. Garmin use GPRME, this gives an accuracy figure in metres, I haven't seen a formula detailing how they arrive at these figures, although I would guess that they use the info. in GSA and GGA, here is a link that may help :-
http://edu-observatory.org/gps/gps_accuracy.html
If you have access to a Garmin unit, you could examine the HDOP, VDOP, PDOP, number of satellites in view etc. and compare them to the HPE and VPE figures presented in the PGRME sentence, in that way it may be possible to determine values similar to their's