NancyLebovitz comments on 2012 Survey Results - Less Wrong
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If you assume that people of color are at least moderately competent judges of their own interests, then the Republicans not attracting people of color should at least be weak evidence that Republicans show prejudice.
It's weak evidence because there are other possible explanations-- perhaps people of color don't like feeling so strongly outnumbered so there's a stable situation which isn't a result of white racism.
It is also weak evidence that the Democratic party is offering non-white voters benefits beyond those they offer to white voters. A model of a race preference Democratic party and a race blind Republican party works just as well as long as you assume Democrats are slightly anti-white.
See Thomas Schelling's Models of Segregation