Simulates two methods for COVID-19 Group tests

For english speakers, please check the papers. They are quite intuitive. For portuguese speakers the notebook is in Portuguese. The methods are the Partition scheme defined by Eberhardt, Jens Niklas et al. and the Matrix Scheme by Sinnott-Armstrong, Nasa et al.

Also, we assume that testing 32 samples in a group is feasible. This was reported by (Yelin, Idan, et al.).

Main References

1. Eberhardt, Jens Niklas., Breuckmann, Nikolas Peter., and Eberhardt, Christiane Sigrid. "Multi-Stage Group Testing Improves Efficiency of Large-Scale COVID-19 Screening." Journal of Clinical Virology (2020): 104382. Online: https://www.sciencedirect.com/science/article/pii/S1386653220301244
2. Sinnott-Armstrong, Nasa., and Klein, Daniel L., and Hickey, Brendam. "Evaluation of Group Testing for SARS-CoV-2 RNA." medRxiv (2020). Online: https://www.medrxiv.org/content/10.1101/2020.03.27.20043968v1
3. Yelin, Idan, et al. "Evaluation of COVID-19 RT-qPCR test in multi-sample pools." medRxiv (2020). Online: https://www.medrxiv.org/content/10.1101/2020.03.26.20039438v1

All References Considered

1. Broder, Andrei Z., and Kumar, Ravi. "A Note on Double Pooling Tests." arXiv preprint arXiv:2004.01684 (2020). Online: https://arxiv.org/pdf/2004.01684.pdf
2. Dorfman, Robert. “The detection of defective members of large populations.” Ann MathStat., 14:436–440, 1943
3. Du, Ding-Zhu and Hwang, Frank K. “Combinatorial Group Testing and its Applications”. World Scientific, 1993.
4. Eberhardt, Jens Niklas., Breuckmann, Nikolas Peter., and Eberhardt, Christiane Sigrid. "Multi-Stage Group Testing Improves Efficiency of Large-Scale COVID-19 Screening." Journal of Clinical Virology (2020): 104382. Online: https://www.sciencedirect.com/science/article/pii/S1386653220301244
5. Seifried, Erhard., et al. “Pool testing of SARS-CoV-2 samples increases test capacity.” (2020). Online: https://www.medica.de/de/News/Redaktionelle_News/Pool-Testen_von_SARS-CoV-2_Proben_erhoht_Testkapazitat.
6. Gollier, Christian, and Olivier Gossner. "Group testing against Covid-19." Covid Economics 1.2 (2020): 32-42. Online: https://www.tse-fr.eu/sites/default/files/TSE/documents/doc/by/gollier/covid_economics.pdf
7. Sinnott-Armstrong, Nasa., and Klein, Daniel L., and Hickey, Brendam. "Evaluation of Group Testing for SARS-CoV-2 RNA." medRxiv (2020). Online: https://www.medrxiv.org/content/10.1101/2020.03.27.20043968v1
8. Yelin, Idan, et al. "Evaluation of COVID-19 RT-qPCR test in multi-sample pools." medRxiv (2020). Online: https://www.medrxiv.org/content/10.1101/2020.03.26.20039438v1
9. Zhu, Na, et al. "A novel coronavirus from patients with pneumonia in China, 2019." New England Journal of Medicine (2020). Online: https://www.nejm.org/doi/full/10.1056/NEJMoa2001017