The formula to calculate the post-test probability is:
Pre Test Odds=P1−P
Post Test Odds=Pre Test Odds×LR
Post Test Probability=Post Test Odds1+Post Test Odds
Where:
Let's say the pre-test probability (P) is 0.012 and the likelihood ratio (LR) is 5. Using the formula:
Pre Test Odds=0.0121−0.012=0.012
[ \text{Post Test Odds} = 0.012 \times 5 = 0.06 ]
Post Test Probability=0.061+0.06=0.0566
We get a post-test probability of approximately 0.0566 or 5.66%.