Final answer:
To compare treatment outcomes for patients who had the same operation but were treated by different surgeons, the facility should use the Case-mix index.
Step-by-step explanation:
If a facility wishes to compare the number and quality of treatments on patients who underwent the same operation with different surgeons, it should use the Case-mix index. The Case-mix index is a tool that facilities use to measure the overall complexity and resource usage of a group of patients. Each patient is assigned a weight that reflects the severity and resource requirements of their condition, which in turn allows for a standardized comparison. The case-mix index is a measure that reflects the average complexity and resource use of patients treated at a healthcare facility. It considers factors such as the severity of illness, comorbidities, and treatments received by patients.