Post-Test Probability Formula:
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Post-test probability is the updated probability of a condition after considering the results of a diagnostic test. It combines the pretest probability (initial likelihood before testing) with the test's likelihood ratio to provide a more accurate assessment.
The calculator uses the following formula:
Where:
Explanation: The formula converts pretest odds to post-test odds using the likelihood ratio, then converts back to probability.
Details: Understanding post-test probability helps clinicians interpret diagnostic test results in context, avoiding over- or under-estimation of disease probability based on test results alone.
Tips: Enter pretest odds (not probability) and likelihood ratio. Both values must be positive numbers. The result will be a probability between 0 and 1.
Q1: How do I convert pretest probability to odds?
A: Odds = Probability/(1-Probability). For example, 20% probability = 0.2/(1-0.2) = 0.25 odds.
Q2: What's the difference between positive and negative LR?
A: Positive LR is used when test is positive, negative LR when test is negative. This calculator works with either.
Q3: What is a good likelihood ratio?
A: LR >10 or <0.1 generate large shifts in probability. LR 1 means no change in probability.
Q4: Can I use this for multiple tests?
A: Yes, by using the post-test probability from first test as pretest probability for next test.
Q5: How accurate is this calculation?
A: It's mathematically precise, but depends on accurate pretest probability and LR estimates.