Deriving the CFR by comparing deaths to hospital discharges
Ronan thanks for the graph. We have to be careful in interpreting these numbers.
First these two groups, dead people and survivors (the discharged patients), have nothing in common statistically so charting them together or plotting the difference is not really meaningful.
We need to compare the number of deaths with the number of people who are actually infected to obtain a reasonable estimate of the CFR. As JJackson has pointed out elsewhere in the forum, we can not even guess how many people are actually infected. For the purposes of the 2019-nCoV infections we can assume that the pretty much the entire world population is susceptible to infection. Even in a na?ve population (where no one has immunity), there will always be a few people who do not get infected.
Among the remaining members of the population, some may be infected and asymptomatic and not be counted. Others may be sick with mild symptoms and, if they are not tested, will probably not be counted. Compounding matters is that any given point in time, some people will be presymptomatic even if they are infected.
News media report that testing kits are not widely available. We can speculate that testing is only going to be carried out on very sick individuals presenting themselves for treatment. Presumably the daily increases in confirmed (tested) cases, reflects the increase in severe cases, not the actual number of new infections which could be much larger.
I assume that the discharged (recovered) cases refers only to very sick individuals who have recovered. What we need to know is how many of the confirmed cases are under treatment to understand the relationship of severity to deaths verses recoveries. I don’t think that the health officials are including mild or asymptomatic cases in the discharged or recovered count.
The CFR equation is simple. The numerator is the number of deaths, the denominator is the number of all infected people not just the severely ill ones. The paragraphs above relate to estimating the denominator. But we also need to be skeptical of the numerator, the number deaths.
First, given China’s track record, we have no reason to believe that the number of deaths is real. There are unsupported reports that there are many more deaths that are now being covered up by the Chinese. Second, deaths directly attributable to the coronavirus may be underreported. Because of comorbidities, some deaths may be assigned to a different cause than the coronavirus.
At this early stage of the 2019-nCoV outbreak, we are just guessing at what the final CFR might be.