Here's part of the abstract from Rios Morrison and Chung 2011, published in the Journal of Experimental Social Psychology:
In both studies, nonminority participants were randomly assigned to mark their race/ethnicity as either "White" or "European American" on a demographic survey, before answering questions about their interethnic attitudes. Results demonstrated that nonminorities primed to think of themselves as White (versus European American) were subsequently less supportive of multiculturalism and more racially prejudiced, due to decreases in identification with ethnic minorities.
So asking white respondents to select their race/ethnicity as "European American" instead of "White" influenced whites' attitudes toward and about ethnic minorities. The final sample for study 1 was a convenience sample of 77 self-identified whites and 52 non-whites, and the final sample for study 2 was 111 white undergraduates.
Like I wrote before, if you're thinking that it would be interesting to see whether results hold in a nationally representative sample with a large sample size, well, that was tried, with a survey experiment as part of the Time Sharing Experiments in the Social Sciences. Here are the results:
I'm mentioning these results again because in October 2014 the journal that published Rios Morrison and Chung 2011 desk rejected the manuscript that I submitted describing these results. So you can read in the Journal of Experimental Social Psychology about results for the low-powered test on convenience samples for the "European American" versus "White" self-identification hypothesis, but you won't be able to read in the JESP about results when that hypothesis was tested with a higher-powered test on a nationally-representative sample with data collected by a disinterested third party.
I submitted a revision of the manuscript to Social Psychological and Personality Science, which extended a revise-and-resubmit offer conditional on inclusion of a replication of the TESS experiment. I planned to conduct an experiment with an MTurk sample, but I eventually declined the revise-and-resubmit opportunity for various reasons.