I hate to barge in with personal stories on such a data driven debate.... but.... 
 
If you are 'Asian' in the 1950s.... apartheid was pretty much in order even if you are not black. But by the time the 70s come around, things start to change, and landlords no longer tell you that there is nothing available for the likes of that kind, and Asians no longer get denied service at restaurants.  
 
Fast forward to the late 90s, and there has been a sea of change in attitudes. With 'Asians' now know to be successful, wealthy, and even the laggard of laggards, India, catching up with China, things changed yet again. 
 
Personally, in my generation, I would say that serious discrimination on the dating front ended in the mid-80s.... there will always be the 1/3 of white women who wouldn't date an Asian (and the same proportion that wouldn't date outside of their ethnic group (i.e. Irish, Scottish, etc.), but there is 1/3 that is pretty open to the possibilities, and the other 1/3 that sits on the fence depending on what churns up. 
 
The best indication of this is how willing are white women are to flirt.... on that indicator... I would say it is a pretty open field. 
 
The skewed statistics have a historical legacy behind it.... look at the younger (30 or under set), and you will see totally different behavior. 
 
Oh... here is another thought.... mixed Eurasian kids can be gorgeous and highly intelligent. That is one huge driver for Asians of both sexes to marry outside of their race.  
 
Every time I look at my kids (the mixed ones), I kick myself to be sure I wasn't dreaming. 
 
And btw, it is not just me, but other parents (of all races) who say this --- come up to us, unsolicited, commenting on how gorgeous the kids are.