Likelihood Ratio (LR) & PED Calculator
Use this tool to estimate post-event disease probability (PED) from test sensitivity, specificity, and your pre-test probability.
What is an LR PED calculator?
An LR PED calculator helps you turn test characteristics into meaningful clinical probabilities. In this context, LR means likelihood ratio, and PED means post-event disease probability (your updated probability after getting a test result).
Instead of stopping at sensitivity and specificity, this calculator goes one step further: it estimates what your disease probability looks like after a positive test and after a negative test. This is especially useful in evidence-based medicine, screening strategy, and bedside decision-making.
How the LR PED calculator works
Step 1: Compute likelihood ratios
The calculator derives the two key likelihood ratios from sensitivity and specificity:
LR- = (1 - Sensitivity) / Specificity
- LR+ tells you how much a positive test increases disease odds.
- LR- tells you how much a negative test decreases disease odds.
Step 2: Convert pre-test probability to post-test probability
Your pre-test probability (clinical suspicion before testing) is updated using Bayes-style logic. The calculator returns:
- Post-test probability after a positive result (PED+)
- Post-test probability after a negative result (PED-)
How to interpret your results
Use these rough ranges as a quick guide:
- < 10%: low probability (disease unlikely)
- 10% to 50%: intermediate zone (consider additional testing/context)
- > 50%: higher probability (clinical action may be justified)
Interpretation should always be integrated with patient history, prevalence in your setting, and test quality. No calculator replaces clinical judgment.
Worked example
Suppose sensitivity is 90%, specificity is 80%, and pre-test probability is 30%. LR+ becomes 4.5 and LR- becomes 0.125. That means:
- A positive test substantially increases disease probability.
- A negative test greatly reduces disease probability.
This is exactly the sort of update that helps with triage, follow-up imaging, treatment thresholds, and patient counseling.
Common use cases for LR and PED
Diagnostic testing
Evaluate whether a lab marker, bedside test, or imaging finding meaningfully shifts the probability of disease.
Emergency medicine
Rapidly estimate whether test results move risk high enough (or low enough) for immediate action.
Primary care and screening
Combine baseline risk with test performance to avoid overtesting and reduce false reassurance.
Practical tips
- Use realistic pre-test probability based on local prevalence and clinical presentation.
- Double-check whether your sensitivity/specificity values come from populations similar to yours.
- Remember: excellent LR values can still underperform in low-quality or biased studies.
- When in doubt, run multiple scenarios (optimistic, typical, conservative) to bracket uncertainty.
Limitations
LR-based calculations assume stable test performance and independent evidence. Real-world care can violate these assumptions. Spectrum effects, referral bias, and imperfect reference standards all influence reliability. Treat output as decision support, not absolute truth.
FAQ
Can I use this for any disease?
Yes, if you have credible sensitivity, specificity, and a reasonable pre-test probability estimate.
What does a very high LR+ mean?
It means a positive result strongly increases disease probability, sometimes dramatically.
What does a very low LR- mean?
It means a negative result strongly lowers disease probability and may help rule out disease.
What if I already know a custom LR from literature?
Enter it in the custom LR field. The calculator will provide an additional PED estimate using your custom value.