Direct Coombs Test (DAT): This test detects antibodies that are already attached to the surface of red blood cells. It is primarily used to diagnose conditions like autoimmune hemolytic anemia and is vital in newborns for detecting hemolytic disease of the newborn due to Rh incompatibility. Indirect Coombs Test (IAT): This test is used to screen for antibodies present in the plasma/serum. It is commonly used in prenatal testing and before blood transfusions to ensure compatibility.