Inclusion Criteria: - Subjects with active non-myeloid malignancy(ies) including lymphocytic leukemias - Receiving chemotherapy and expected to receive at least 8 additional weeks of cyclic cytotoxic chemotherapy anticipated to be on a QW, every other week (Q2W) or every three weeks (Q3W) schedule - Anemia due to cancer and/or chemotherapy (screening Hb less than 11.0 g/dL) - Eastern Cooperative Oncology Group (ECOG) performance status of 0 to 2 Exclusion Criteria: - Subjects with acute myelogenous leukemia (AML), chronic myelogenous leukemia (CML), or myelodysplastic syndromes (MDS) - Other underlying hematologic disorder, which could cause anemia, other than a non-myeloid malignancy - Active bleeding - Severe, unstable, active chronic inflammatory disease (e.g., ulcerative disease, peptic ulcer disease, rheumatoid arthritis) - Active, unstable systemic or chronic infection - Planned elective surgery during the study where significant blood loss is expected - Known iron deficiency (to be considered iron deficient a subject must have both of the following: a saturated transferrin less than 15% and ferritin less than 10 ng/mL at screening) - Unstable angina, or uncontrolled cardiac arrhythmia - Hypertension (diastolic blood pressure greater than 100 mmHg) - Inadequate renal and/or liver function (e.g., creatinine greater than 2 X upper limit of normal (ULN) and/or transaminase greater than 5 X ULN) - History of pure red blood cell aplasia - Known positive human immunodeficiency virus (HIV) test or acquired immune deficiency syndrome (AIDS) status - Known positive antibody response to any erythropoietic agent - Subject has known sensitivity to any erythropoietic agents, the study drug, or its excipients to be administered during this study