Example 1.
TPR=25%; TNR=50% | |||
Likelihood of disease 40% | |||
Number of patients=10 | |||
With disease | 4 | Without disease | 6 |
True positives | 1 | True negatives | 3 |
False negatives | 3 | False positives | 3 |
TPR=TP/with disease=1/4=25% | TNR=TN/without disease=3/6=50% | ||
Likelihood of disease 80% | |||
Number of patients=10 | |||
With disease | 8 | Without disease | 2 |
True positives | 2 | True negatives | 1 |
False negatives | 6 | False positives | 1 |
TPR=TP/with disease=2/8=25% | TNR=TN/without disease=1/2=50% | ||
In the example above, the likelihood of disease varies from 40 to 80%. Note that although the number of persons that test positive or negative for disease change in each scenario, the TPR and the TNR remain the same. |