This study is intended to evaluate the dose-response relationship of GSK1278863 over the first 4 weeks of treatment and evaluate the safety and efficacy of GSK1278863 over 24 weeks to maintain hemoglobin (Hgb) level in hemodialysis-dependent (HDD) subjects with anemia associated with chronic kidney disease (CKD) who are switched from a stable dose of recombinant human erythropoietin (rhEPO). The data generated will enable selection of the starting dose(s) and optimize dose adjustment regimen(s) for Phase 3 clinical trials.