Problem 8 a) Calculated the success rates for each category of patients for both hospitals. Which hospital is better? Hospital A High Risk success rate: Success rate=Nr of Success/Total Patients = 160/800=0.2 Low Risk success rate: Success rate=Nr of Success/Total Patients = 400/500=0.8 Hospital B High Risk success rate: Success rate=Nr of Success/Total Patients = 20/200=0.1 Low Risk success rate: Success rate=Nr of Success/Total Patients = 300/500=0.6 Hospital A is better than Hospital B because in both categories Hospital A success rate is higher than Hospital B b) Aggregate the data over the two categories of patients and calculate the overall success rates for both hospitals. Now which hospital is better? Hospital A Hospital A Success Rate = Number of success/Total Patients= 560/1300 =0.4308 Hospital B Hospital B Success Rate = Number of success/Total Patients= 320/700 =0.4571 In this case Hospital B is better because Success rate is higher than Hospital A c) Explain the discrepancy between the results obtained in (a) and (b). In first question Hospital A for both categories it was better than Hospital B. In second question Hospital B was better after merging categories. Discrepancy between the results in A and B is due to the following: Even that number of patients in both Hospitals is the same for Low Risk ,in the High Risk the number of patients in Hospital A is 800 which is Higher than patients in Hospital B (200 patients).Pooling of the samples when ...
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