COVID-19 pooled tests analysis

	B	C	D	E	F	G	H
1	Please read the accompanying aricle at:			http://articles.qos.ch/covid19-testing.html
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3	The present analysis builds on the yet unpublished work "Pooling Method for Accelerated Testing of COVID-19" by researches at Technion Israel.
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6	Optimal pool sizes as function of infection ratios:
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8	Discard frequency: that frequency at which pools would need to be discarded given a positive test result (i.e. not all negatives).
9	The optimal pool size should be close to the estimated discard frequency.
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11	Infection rates			Test pool size
12	One in every	Infection ratio		16	32	64	128
13			Discard frequency
14	100	0.01		6.732092331	3.636103635	2.107910194	1.381695757
15	200	0.005		12.97540657	6.747722996	3.643868787	2.111694323
16	300	0.003333333333		19.22318427	9.868268348	5.197477088	2.875348573
17	400	0.0025		25.47207438	12.99104278	6.755528562	3.647746605
18	1000	0.001		62.97007878	31.73704035	16.12252183	8.319262186
19	2000	0.0005		125.4694142	62.98570736	31.74485414	16.12642773
20	4000	0.00025		250.4690821	125.4850411	62.99352067	31.74876054
21	5000	0.0002		312.9690157	156.7349079	78.61825401	39.56072714
22	8000	0.000125		500.468916	250.484708	125.492854	62.99742708
23	10000	0.0001		625.4688828	312.9846414	156.7427207	78.6221604
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25	Country	Population	Confirmed Cases as of 2020-03-18	Ratio of cases to population	Actual infections**	Actual infection ratio
26	Country	Population	Confirmed Cases as of 2020-03-18	Ratio of cases to population	Actual infections**	Actual infection ratio
27	Italy	60480000	35000	1728	175000	345.6
28	Swizerland	8570000	3000	2856.666667	15000	571.3333333
29	South Korea	51470000	8565	6009.340339	42825	1201.868068
30	Israel	8712000	433	20120.09238	2165	4024.018476
31	USA	327200000	9458	34595.05181	47290	6919.010362
32	France	66990000	7730	8666.235446	38650	1733.247089
33					** "Actual" infection rate assumes 5 fold underestimation of confirmed results
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35	Given these tables above, USA and Israel could use pool sizes of 64, S. Korea and France 32, Italy and Swizerland 16.
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37	It should be noted that the discard rate for a given pool size can help estimate the true contamination rate in a country.
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