// multi-utility computation suite · offline · instant · precise
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math.bayes Calculator
Calculates posterior probability using Bayes' theorem from prior probability, sensitivity (true positive rate), and specificity (true negative rate). Medical diagnostic tests are the classic Bayes application: even a 99% accurate test on a rare disease has a surprisingly low positive predictive value.
Inputs
Prior
Reference formula or conversion factor shown for context.
Sens
Reference formula or conversion factor shown for context.
Spec
Reference formula or conversion factor shown for context.
N
Total number in the group you are studying. Matters for finite-population corrections when the sample covers a large fraction of the total.
Results
P(A|B) posterior
Reference formula or conversion factor shown for context.