Author: Istvan Szapudi
Title: Efficient sample pooling strategies for COVID-19 data gathering Document date: 2020_4_7
ID: nsxp3xwf_3
Snippet: We introduce a simple model to quantify the aim of a CoViD-19 survey: in a particular age bracket, let's assume that a fraction p of the population is infected. We want to measure this fraction. The fraction of the population not infected is q = 1 − p. Let us assume that in our survey we pool the samples of n persons. For such a test to be negative, the probability is P − = q n , and consequently, the probability that the test yields a positi.....
Document: We introduce a simple model to quantify the aim of a CoViD-19 survey: in a particular age bracket, let's assume that a fraction p of the population is infected. We want to measure this fraction. The fraction of the population not infected is q = 1 − p. Let us assume that in our survey we pool the samples of n persons. For such a test to be negative, the probability is P − = q n , and consequently, the probability that the test yields a positive result is P + = 1 − q n . As a consequence, after N measurements, the probability of finding N + positive and N − results is
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