Rapid Antibody Test — HIV

Test Characteristics

Metric Value
False-negative rate 0.5% (sensitivity 99.5%)
False-positive rate 0.5% (specificity 99.5%)
Bayes factor 100×
Base rate 0.5% overall US adult prevalence

Interpreting Results

Scenario Prior + Result − Result
Average-risk US adult 0.5% 100 × 0.5% = 50%0.5%× 10050% 1/100 × 0.5% = 0.005%0.5%÷ 1000.005%
IV drug use or MSM, high-prevalence area 5% 100 × 5% ≥ 100%5%× 100100% 1/100 × 5% = 0.05%5%÷ 1000.05%

100 × 5% ≥ 100%5%× 100100%: exact posterior is 84%. The key teaching example: even with BF = 100×, a positive test in the general population gives only 50% probability — about half of positives are false. Confirmatory testing always required. Negative is extraordinarily reassuring, except during window period (<4 weeks).

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