Gender blinding in orchestral auditions (which usually involves screening the performers from sight and thus is pretty-much foolproof) has been shown to improve the percentage of women who are hired.
See, for example, 'Orchestrating Impartiality: The Impact of "Blind" Auditions on Female Musicians', Claudia Goldin, Cecilia Rouse: http://www.nber.org/papers/w5903