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. 2021 Oct 12;116(2):128–136. doi: 10.1080/20477724.2021.1978225

Table 1.

Precision of the cumulative incidence estimate assuming a sample size of 1450 participants, by three levels of magnitude of the cumulative incidence hypothesized. Reported are the positive predictive values for the Roche Elecsys Anti-SARS-CoV-2 serum antibody test according to 100% sensitivity and 99.8% specificity declared by the manufacturer

Hypothesized cumulative incidence Confidence interval of the estimated cumulative incidence Confidence level Positive predictive value of the test (confidence interval)
0.440% 0.1%, 1.1% 99.0% 70% (33%, 85%)
0.088% 0.0%, 0.5% 98.2% 31% (0%, 72%)
0.066% 0.0%, 0.5% 98.9% 25% (0%, 72%)