The studies I've seen actually demonstrate that women get called for interviews slightly more often than men. (The studies were not in software engineering, so different industries certainly are different).
I've heard more personal experiments (be it by gender or ethnicity) leaning more towards white/male names getting more interviews and jobs than ethnic/female names.
It would be especially interesting to compare by gender the amount of interest, frequency of landing an interview, and rate of success of landing an interview. I'd be very curious to see if biases shift depending on the phase of hiring process.
