During the COVID pandemic, universal testing had once been a topic in Hong Kong. Even if we can handle millions of testings a day, is it a good approach?
Let’s assume 99.9% accurate for positive and 99% for negative and 80,000 people are infected.
positive | false positive |
---|---|
99.9% | 0.1% |
negative | false negative |
---|---|
99% | 1% |
We will find 7,920,000 x 0.001 + 80,000 x 0.99 = 87,120 people infected. But among them, only 1 - (80,000 x 0.99/87,120) = 9.1% are not infected. They are false positive cases. While 1%, 800 infected people will test negative! Given that the figures I used were almost ideal!
As a result, universal testing is pointless. It will find many false positive cases, while hundreds false negative cases will be missed.
So what are the right moves? Here are my suggestions.
- We test all patients who thought they have got the virus, even with very mild symptoms. So we can detect the newly infected cases and isolate them as soon as possible.
- We test the correlations of the confirm cases sooner the better, obviously they are more likely to be infected than any others.
- We keep testing high risk population. Such as staff in hospitals, nurses, doctors, etc. If they have got the virus, they will infect the most vulnerable people.
- Start random testings. Let’s test 500 people randomly, from all walks of life. It will give us a basic idea how the virus spreads in the community. We can do this on monthly basis.
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🧮Math
🧮Math