The term you're looking for is pseudo anonymous.
If you want true anonymity grab your bitcoins with cash or mine them , use mixers all the time. This is the only way to ensure you are truly hidden.
Again , if you buy some bitcoins from Gox , with verified papers and then spend them directly on SR let's say , nobody looking at the chain will know a thing.
But once the FBI starts asking Gox for info , you're toast.