(04-26-2020, 12:47 PM)OutsiderFan Wrote: I'd rather be wrong and learn from my mistakes than never test my ideas, so I don't mind the criticism or take any umbrage to it.
That is such a rational and balanced attitude, are you sure you belong on a sports board :-)? The good thing here is that we can do "thought experiments" here and it costs nothing.
Quote:When I say localized sampling, here's what I was thinking. Say each county gets enough tests to sample 1% of its population every month. They each develop a random sampling method and then when results return, the survey data and doctor-reported data can be given to the epidemiologists and statistical experts to map expected outbreak levels, not past outbreak levels as is done now.
Maybe I'm wrong, but I just don't see the value in identifying cases presenting symptoms when the real issue is stopping the spread among those without symptoms.
The identification of cases presenting symptoms is most important for several reasons. First, as can be seen by the negative rate of the testing being done under the current rules, 89% of the people presenting a reason to be tested are not at present shedding enough virus to be detected. We can say they don't have active disease. They might tomorrow, but for now they are not contagious and can just go home.
The cases that do test positive can spread the disease and must be quarantined. Furthermore, it is certain they were infected by someone else and possible they have in turn infected others. Their contacts need to be interviewed for sure and tested if indicated. These contacts have a greatly increased probability of having the disease over the general public. If the contacts are tested, some presently asymptomatic (or very minor symptomatic) spreaders will be detected. These asymptomatic spreaders will therefore be quarantined, and their contacts will be examined. Using this approach, even multi-level asymptomatic spreaders will be detected (although not all of them). Further, contacts that test negative will also be quarantined, because it is probable that some of them will become ill later.
It is certainly true with this virus that people often are contagious for several days before they show symptoms. It is undoubtedly true that some number of people get the virus, become contagious, and recover from the virus without exhibiting noticeable symptoms. How common this is is being hotly debated at the moment. Multipliers between 2 and 10 have be suggested, but we just don't know. However, some of the people that these asymptomatic persons (to what extent they exist) have infected WILL be symptomatic, the asymptomatic persons will be a contact and therefore will be quarantined. They also will get tested. If they don't test positive, they are over the disease and whatever damage they did is in the past. We won't find the all this way, but we will find a lot of them.
Obviously, earlier detection of asymptomatic spreaders would be better if possible. One could look at "random" testing to do that. Everybody on this board is undoubtedly aware of the issues regarding true "randomness", but let's put those aside for a moment. If we wanted to test 1% of SF County, we would need 833,000 * 0.01 = 8,330 tests. To make it meaningful, we would like to get all the random samples in a day. I don't think you could do that. In a week, probably you could. SF county has done a total of 15,110 tests since the outbreak started, so doing these 8,330 tests is a big leap of faith, but let's say you could do it, and let's say that we can ignore the change in parameters over the week it took to take the samples. In the 8,330 tests we would expect to find about 0.15% symptomatic positives, or 12.5 people, on average. These people would get found anyway because they will report with symptoms. IF the asymptomatic/mild symptom level is 10 times the symptomatic value, we will have 125 such people, on average. Sounds like a win, until you realize there are 12,500 such people in the population, you have found 1% of them, and you can't do this again for 30 days. That is probably 1.5 to 2 "cycles" of the disease.
Can we use these numbers to make a "model". Eventually, possibly. One very serious problem is we know nothing about the probability distribution of our measurements. We are also not sampling a stationary process. Each month, the "state of the disease" will be different. It is difficult for me to envision how these numbers could be used in the short term. It is also not obvious that what happens in one county is directly transferable to another county. One obvious problem with the "thought experiment" outlined above is that I have assumed there is a fixed ratio between symptomatic and asymptomatic people who test positive. There may not be. It also could be a variable. In any case, if there is a fixed correlation between the two numbers, measuring symptomatic cases as we do now would allow us to infer the number of asymptomatic ones. Random sampling would eventually tell us how well we could do this, but it will take much more data than we can get in the short term.
My main thought is that using the symptomatic patients to lead us to the asymptomatic spreaders will probably identify more such people faster than random testing. Neither "net" is prefect, but the contact tracing approach will let us expend our tests in a more "target rich" environment.
Thought welcome!