@Before makes more sense to use in certain cases because it gets called AFTER the constructor for the class.  This difference is important when you're using a mock framework like Mockito with @Mock annotations, because your @Before method will be called after the mocks are initialized.  Then you can use your mocks to provide constructor arguments to the class under test.
I find this to be a very common pattern in my unit tests when using collaborating beans.
Here's an (admittedly contrived) example:
@RunWith(MockitoJUnitRunner.class)
public class CalculatorTest {
    @Mock Adder adder;
    @Mock Subtractor subtractor;
    @Mock Divider divider;
    @Mock Multiplier multiplier;
    Calculator calculator;
    @Before
    public void setUp() {
        calculator = new Calculator(adder,subtractor,divider,multiplier);
    }
    @Test
    public void testAdd() {
        BigDecimal value = calculator.add(2,2);
        verify(adder).add(eq(2),eq(2));
    }
}