Likelihood ratio
The likelihood ratio is defined as the probability of obtaining a positive test result in a patient with the disease divided by the probability of obtaining a positive test result in a patient without the disease1.
Calculation
\[ \textrm{+LR} = \frac{(\textrm{Probability of obtaining a positive test in a patient with the disease})}{\textrm{Probability of attaining a positive test in a person without the disease}} \]
\[ \textrm{+LR} = \frac{Sensitivity}{1 - Specificity} = \frac{(\textrm{True Positive Rate})}{(\textrm{False Positive Rate})} \]
Likelihood ratio vs Sensitivity
The likelihood ratio is defined as the probability of obtaining a positive test result in a patient with the disease divided by the probability of obtaining a positive test result in a patient without the disease1.
Sensitivity is the probability of obtaining a positive test result in a patient with the disease1.