Major surgical procedures may require transfusion of several units of blood. Blood transfusions from other people may be associated with transfusion reactions that cause fever or infections such as hepatitis or AIDS that are carried (and donated) in blood. However, self-donations of blood may cause anemia in a patient who will be undergoing surgery a few weeks later. Previous research with epoetin alfa suggests that epoetin alfa increases the rate of red blood cell production and decreases anemia. This randomized, double-blind, placebo-controlled, multicenter study is designed to determine whether epoetin alfa in patients with low hematocrit (red blood cell percentage <39 percent) will stimulate the bone marrow to produce red blood cells and therefore increase a patient's ability to self-donate blood prior to major surgery for joint diseases. Patients will be randomly assigned to receive either 600 units of epoetin alfa per kilogram of body weight or matching placebo, injected into a vein on the first study day, and every 3 to 4 days thereafter for 21 days. Effectiveness will be determined by the number of units of self-donated blood collected, the number of units of donor blood used at the time of surgery, and the red blood cell percentages just before surgery. Safety evaluations including the incidence of adverse events, physical examinations, and clinical laboratory tests will be performed throughout the study. The study hypothesis is that patients treated with epoetin alfa will be able to donate more units of blood during the 3 weeks prior to surgery, will need fewer donor-donated units of blood, and will have a higher level of red blood cells than patients who receive placebo. 600 units of epoetin alfa per kilogram of body weight, or an equivalent volume of placebo, injected into a vein every 3 to 4 days for 21 days (6 doses) during the period before surgery.