in a RCT study, incidence of disease in new treatment was 2/100/year, in control group incidence of disease was 3/100/year. which is correct:
a) new treatment protects against disease better since RR<1
b) control group had 50% higher risk for disease compared to new treatment group
c) both a and b are correct
d) both a and b are incorrect
RR is the relative risk. It is defined by the ratio of probability of incidence of disease when subjected to new treatment to the probability of incidence of disease when in a control group.
So RR is given by
Since the relative risk is less than 1 , it means that the new treatment protects against the disease in a better way.
Hence, option a is correct.
Risk for disease when subjected to new treatment = 2/100 = 0.02
Risk for disease when in control group = 3/100 = 0.03
Difference in risk = 0.03-0.02 = 0.01
Percentage difference in risk of the control group compared to the new treatment
Hence, the control group has 50% higher risk of disease as compared to the new treatment.
Hence, option b is also right.
So the correct option is option c , that is, both options are correct.
Thank you.
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