seminars:stat:210513
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| + | We propose a mathematical model based on probability theory to optimize | ||
| + | COVID-19 testing by a multi-step batch testing approach with variable batch | ||
| + | sizes. This model and simulation tool dramatically increase the efficiency | ||
| + | and efficacy of the tests in a large population at a low cost, particularly | ||
| + | when the infection rate is low. The proposed method combines statistical | ||
| + | modeling with numerical methods to solve nonlinear equations and obtain | ||
| + | optimal batch sizes at each step of tests, with the flexibility to | ||
| + | incorporate geographic and demographic information. In theory, this method | ||
| + | substantially improves the false positive rate and positive predictive | ||
| + | value as well. We also conducted a Monte Carlo simulation to verify this | ||
| + | theory. Our simulation results show that our method significantly reduces | ||
| + | the false negative rate. More accurate assessment can be made if the | ||
| + | dilution effect or other practical factors are taken into consideration. The | ||
| + | proposed method will be particularly useful for the early detection of | ||
| + | infectious diseases and prevention of future pandemics. | ||
| + | will have broader impacts on medical testing for contagious diseases in | ||
| + | general. | ||
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