Cain’s image has suffered greatly in recent weeks, based not only on the sexual harassment allegations but also on questions about his grasp of policy issues, such as the situation in Libya. His Positive Intensity Score has tumbled from 34 in early October to 9 now. Also, Gallup’s most recent update on Republican nomination preferences shows Cain slipping behind Mitt Romney and Newt Gingrich.

The gender gap in views of Cain was evident earlier this year, but has become much more pronounced since his alleged behavior toward women became an issue. In Gallup tracking conducted Oct. 3-16, shortly after his Florida straw poll win made him a leading contender for the nomination, his net favorable rating among Republican men was +46 and among Republican women, +40. The gender gap held at about 10 points until mid-November polling, when it doubled after the sexual harassment allegations surfaced.