Using a sample of Virginia hospitals, performance measures of quality were examined as they related to technical efficiency. Efficiency scores for the study hospitals were computed using Data Envelopment Analysis (DEA). The study found that the technically efficient hospitals were performing well as far as quality measures were concerned. Some of the technically inefficient hospitals were also performing well with respect to quality. DEA can be used to benchmark both dimensions of hospital performance: technical efficiency and quality. The results have policy implications in view of growing concern that hospitals may be improving their efficiency at the expense of quality.