VITAL DX v4.0 • VERIFIED QUANTITATIVE BRIEFING

Bayesian Positive Predictive Value: 82% Sens / 90% Spec / 10% Prevalence

With 82% sensitivity, 90% specificity, and 10% disease prevalence, the Positive Predictive Value (PPV) of a positive test is 47.7%.

Bayes Theorem: PPV = TP / (TP + FP) = (82% × 10%) / [(82% × 10%) + (10% × 90%)] = 47.7%.
FAQ: What is the PPV when sensitivity is 82%, specificity is 90%, and prevalence is 10%?

The Positive Predictive Value (PPV) is 47.7%, meaning 52.3% of positive results at 10% prevalence are false positives.