This study aims to characterize the relationship between dose of GSK1278863 and hemoglobin (Hgb) response in hemodialysis-dependent (HDD) subjects with anemia associated with chronic kidney disease (CKD). It is anticipated that the data generated will enable selection of the starting dose(s) and optimize dose adjustment regimen(s) for Phase 3 clinical trials. This study will consist of a screening phase of 3-9 weeks, a 4-week treatment phase and a follow-up visit approximately 4 weeks after completing treatment.