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Background: Pooling is a popular strategy for increasing SARS-CoV-2 testing throughput. A common pooling scheme is Dorfman pooling: test N individuals simultaneously. If the first test is positive - retest each individual. Methods: Using a probabilistic model, we analyze the false-negative rate (i.e., the probability of a negative result for an infected individual) of Dorfman pooling. Our model is conservative in that it ignores sample dilution effects, which can only worsen pooling performance. Results: We show that one can expect a 60-80% increase in false-negative rates under Dorfman pooling, for reasonable parameter values. On average, when separate testing misses, e.g., ten infected individuals - Dorfman pooling misses more than sixteen. Discussion: In most pooling schemes, identifying an infected individual requires positive results in multiple tests and hence substantially increases false-negative rates. It is an inherent shortcoming of pooling schemes and should be kept in mind by policy makers.
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?:doi
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10.1101/2020.12.02.20242651
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document_parses/pdf_json/4f934478ee8e980738ffd9e67066356b9df022f7.json
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?:title
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The inherent problem of pooling: increased false-negative rates
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