USMLE Step 3 Biostats: Formulas
2 x 2 table - Top vs Side:
Disease vs Exposure
Reality vs Test Result
A,B,C,D (Left to Right, Top to Bottom)
Sensitivity - A/(A+C)
or TP/(TP+FN)
Specificity - D/(D+B)
or TN/(TN+FP)
PPV - A/(A+B)
or TP/ (TP+FP)
NPV - D/(D+C)
or TN/ (TN+FN)
Relative Risk - A/(A+B) / C/(C+D)
Use in Cohort
Remember: In RR you are looking forward at risk of a disease/outcome in the *exposed
vs unexposed groups*
*risk of disease/outcome* in exposed vs. *risk of disease/outcome* in non-exposed
RR comparing groups - If the RR of an outcome in group A as compared to group B is x
then the RR in group B as compared to group A is 1/x
Odds Ratio - (A/C)/(B/D)
or AD/BC
Use in Case Control
Remember: Odds of *exposure* in the cases divided by Odds of *exposure* in the
controls (because you are looking back in time). So it's not like in RR where you are
looking forward at *risk of disease/outcome* (*risk of disease/outcome* in exposed vs.
*risk of disease/outcome* in non-exposed)
Absolute Risk Reduction (ARR) (used when evaluating an intervention/treatment) -
Event Rate in Control - Event Rate in Exposed
aka:
CER - EER
2 x 2 table - Top vs Side:
Disease vs Exposure
Reality vs Test Result
A,B,C,D (Left to Right, Top to Bottom)
Sensitivity - A/(A+C)
or TP/(TP+FN)
Specificity - D/(D+B)
or TN/(TN+FP)
PPV - A/(A+B)
or TP/ (TP+FP)
NPV - D/(D+C)
or TN/ (TN+FN)
Relative Risk - A/(A+B) / C/(C+D)
Use in Cohort
Remember: In RR you are looking forward at risk of a disease/outcome in the *exposed
vs unexposed groups*
*risk of disease/outcome* in exposed vs. *risk of disease/outcome* in non-exposed
RR comparing groups - If the RR of an outcome in group A as compared to group B is x
then the RR in group B as compared to group A is 1/x
Odds Ratio - (A/C)/(B/D)
or AD/BC
Use in Case Control
Remember: Odds of *exposure* in the cases divided by Odds of *exposure* in the
controls (because you are looking back in time). So it's not like in RR where you are
looking forward at *risk of disease/outcome* (*risk of disease/outcome* in exposed vs.
*risk of disease/outcome* in non-exposed)
Absolute Risk Reduction (ARR) (used when evaluating an intervention/treatment) -
Event Rate in Control - Event Rate in Exposed
aka:
CER - EER