A sensitivity figure for a skin-tone band with 12 positive cases has a confidence interval about ±20 points wide. No method can narrow it. This calculator shows the precision ceiling for each band, and the case counts needed for the claim you want to make.
Positive cases = confirmed cases of the condition your model detects (for example, biopsy-confirmed malignant lesions), not total images.
| Band | Positive cases | Precision ceiling (95%) | Can the audit make a claim? |
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Ceiling = 1.96 × √(p(1−p)·DEFF / n), in percentage points: the narrowest 95% interval any sensitivity estimate near p can have with n positives. Our audits make no per-band claim below 30 positives and report the ceiling instead.
Gap detection uses the standard two-proportion sample-size formula with equal allocation. Repeated images per patient raise every number by the design effect.