Women Representatives are about as Liberal as their districts

Yglesias writes

As measured by DW-NOMINATE scores, Republican men and Republican women are the same. But Democratic women are much more liberal than their male counterparts:

The next step that it would be interesting to see is whether this is just a coincidence in which no women Democrats represent the kind of districts that tend to elect moderate Democrats. You could compare everyone’s DW-NOMINATE score to their district’s PVI and see if there’s a gender gap in representation.

This is easy enough to check:

Estimated ideology among Representatives in the 111th Congress vs PVI(Average of Kerry and Obama vote). Idealogy estimated from Jackman's  pscl package in R, which has some nerdy advantages over DWNominate.

Now for a regression.

Once you adjust for district partisanship, it doesn't seem that Women representatives are any more liberal than would be expected.