Selected article for: "batch size and entire batch negative probability"

Author: Haran Shani-Narkiss; Omri David Gilday; Nadav Yayon; Itamar Daniel Landau
Title: Efficient and Practical Sample Pooling High-Throughput PCR Diagnosis of COVID-19
  • Document date: 2020_4_7
  • ID: 6ji8dkkz_32
    Snippet: Consider the example in the introduction in which we have N=1000 samples, p=0.001, and the batch size is b=100. Then we initially perform = 10 ⁄ tests, and the probability that any entire batch is negative is (1 − ) ≈ 0.9, so that the fraction of batches expected to be positive is 1 10 ⁄ . We therefore perform an additional 10 ⁄ = 100 tests, for a total of (1 10 ⁄ 0 + 1 10 ⁄ ) = 11 100 ⁄ = 110......
    Document: Consider the example in the introduction in which we have N=1000 samples, p=0.001, and the batch size is b=100. Then we initially perform = 10 ⁄ tests, and the probability that any entire batch is negative is (1 − ) ≈ 0.9, so that the fraction of batches expected to be positive is 1 10 ⁄ . We therefore perform an additional 10 ⁄ = 100 tests, for a total of (1 10 ⁄ 0 + 1 10 ⁄ ) = 11 100 ⁄ = 110.

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