Researchers at MSKCC are conducting a study to determine the best way to assign patients to receive ANH. Currently, patients are assigned to undergo ANH based on the amount of liver that is expected to be removed (also called 'extent of resection'). We are looking at whether assigning patients to receive ANH based on a nomogram more appropriately selects patients who would benefit from undergoing ANH. A nomogram is a predictive mathematical tool that uses a point system to evaluate each patient's anticipated blood transfusion needs based on the data from many previous patients with the same condition(s). Using this method, your risk of requiring a blood transfusion will be calculated, and depending on the predicted risk of transfusion, you may or may not be selected to undergo ANH. All patients will undergo randomization (a computer-generated decision, as in the flip of a coin): half will be assigned to the arm using the nomogram-based selection for ANH, and half will be assigned based on the planned operative procedure.