Bayesian Inference Calculator
Calculate posterior probability, Bayes factor, likelihood ratio, and evidence strength using Bayes' theorem.
Inputs
Results
Posterior Probability P(H|E)
66.67%
Bayes Factor
2
Likelihood Ratio4
Prior Odds1
Posterior Odds2
Update Factor1.333
Posterior Probability P(H|E)
66.67%
Bayes Factor
2
How to Use This Calculator
- Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
- Prior Probability P(H) — Prior probability of hypothesis Accepts values from 0 to 1 (default: 0.5).
- Likelihood P(E|H) — Probability of evidence given hypothesis Accepts values from 0 to 1 (default: 0.8).
- Evidence Probability P(E) — Marginal probability of evidence Accepts values from 0 to 1 (default: 0.6).
- Once all inputs are set, review your results in the Results panel. Here's what each output means:
- Posterior Probability P(H|E) — shown as a percentage. This is the primary result of this calculator.
- Bayes Factor — shown as a numeric value. This is the primary result of this calculator.
- Likelihood Ratio — shown as a numeric value.
- Prior Odds — shown as a numeric value.
- Posterior Odds — shown as a numeric value.
- Update Factor — shown as a numeric value.
- Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula
P(H|E) = P(E|H) × P(H) / P(E)Related Calculators
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