Eddington said that the mirage effect did most of the bending, but that there was a discrepancy of couple of arc-seconds that he attributed to GR. The criticism is that he didn't have the instrumentation necessary to estimate the mirage effect to that accuracy. We still don't. Check out Edward Dowdye's presentation entitled, "The Failed Attempts to Detect Macro Lensing":
http://www.youtube.com/watch?v=6kJ8gTdOsekOr read one of his papers, such as:
Dowdye, Jr., E. H., 2007: Time resolved images from the center of the Galaxy appear to counter General Relativity.
Astronomische Nachrichten, 328 (2): 186-191