// multi-utility computation suite · offline · instant · precise
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math.bayes-theorem-disease Calculator
Applies Bayes' theorem to disease screening: given test sensitivity, specificity, and disease prevalence, it calculates the positive predictive value (PPV). The PPV is often shockingly lower than test accuracy suggests — a 99% accurate test for a 0.1% prevalence disease has only ~9% PPV.
Inputs
Prevalence Pct
Reference formula or conversion factor shown for context.
Sensitivity Pct
Reference formula or conversion factor shown for context.
Specificity Pct
Reference formula or conversion factor shown for context.
Results
positive predictive value (PPV)
The computed numeric or monetary value.
negative predictive value (NPV)
The computed numeric or monetary value.
true positive rate
The value at the specified point or condition.
false positive rate
The value at the specified point or condition.
Bayes: P(D|+) = P(+|D)P(D) / P(+)
Reference formula or conversion factor shown for context.