Distribution of the 25 Pledged Delegates Awarded From Nevada:
Barack Obama: 13
Hillary Clinton: 12
Those are the actual delegate totals from Nevada. And there is no popular vote to contradict it, since caucuses don't have popular vote totals. Barack Obama won Nevada.
Did Hillary Clinton win more state delegates? Yes. However, Barack Obama will send more delegates to the Democratic national convention than Hillary Clinton. And that, really, is all these primaries and caucuses are about: sending more delegates to the Democratic national convention.
After the Obama campaign pointed out it had won more pledged delegates than Clinton did -- which the AP and NBC News later backed up -- the Nevada Democratic Party issued this statement: "Just like in Iowa what was awarded today were delegates to the County Convention. No national convention delegates were awarded…
That said, if the delegate preferences remain unchanged between now and April 2008, the calculations of national convention delegates being circulated by the Associated Press are correct. We look forward to our county and state conventions where we will choose the delegates for the nominee that Nevadans support."
Obama won Nevada. And no, I don't think state delegates are somehow a better determinant of who won, since state delegates are only used to determine national delegates, and the Nevada Democratic Party agrees that it appears Obama will win the national delegate campaign. And there is no popular vote available to contradict this. It certainly appears that Obama, not Clinton, won Nevada.
Update: Perhaps it should more accurately be said that Obama won more districts in Nevada than Clinton. Mainly, the Democratic primaries and caucuses are divided by congressional districts, not states. So, the issue isn't really whether Obama won Nevada or not, since the DNC isn't about winning states. It is, instead, about winning congressional districts. And in that campaign, Obama won today.