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I feel uninterested in R-nought (or R) when there is evidence for a huge variance around how many people each person will infect. Infections seem to happen at
by learnstats2 6y ago
I feel uninterested in R-nought (or R) when there is evidence for a huge variance around how many people each person will infect.
Infections seem to happen at large gatherings: one person can be identified as infecting 50 others simultaneously, especially in the early cases, even though the R-nought is said to be no more than 2.5
That suggests infectiousness is an incredibly skewed distribution, to the point of implausibility.
An epidemiologist apparently setting out R-nought as the underlying basis for their modelling (or even: communicating it to the public as such) worries me.
I wouldn't begin any statistical modelling unless I was thinking about the distribution of infectiousness more generally: even a high school student of statistics would know to look beyond the mean and to the variance.
- mjevans 6y agoThe statistics work the same way that aggregate physics work. Great at working with the whole, bad at the micro-level. Even after we drive the "R-nought" low enough that just means that on the whole the fire is 'contained' and will eventually burn out. To achieve actual eradication, which is what is required for something like this disease, a strong concerted effort to isolate and contain is required. I am also somewhat fearful that there will be a rush towards large events and other high-risk activities that allow these 1 to 50+ mega-exposures from prolific infecters to happen.
- PragmaticPulp 6y ago> An epidemiologist apparently setting out R-nought as the underlying basis for their modelling (or even: communicating it to the public as such) worries me. One of the core point of the linked article is that R0 has a wide range and therefore can’t be used to draw firm conclusions about herd immunity. > even a high school student of statistics would know to look beyond the mean and to the variance. I’m not sure if you’re responding to the linked article, but the article does a good job of emphasizing exactly that point. The R0 and her immunity calculations aren’t strict values or hard cutoffs. They are very situation dependent and will change over time depending on circumstances and behavior. It’s also important to keep in mind that the current average R0 numbers are measured during the middle of widespread social distancing and similar countermeasures. If people start reducing their precautions under the assumption that herd immunity will protect them, the infection rate might increase again.
- soneil 6y agoR:0 is an average, not a promise. It's that simple. Some people will infect 50 people at a wedding. Some people will spend a couple of weeks in bed having the time of their lives. Some people will just stop breathing. R is based on a populace, not a person.
- alimw 6y agoIt remains a valuable descriptive statistic for the population as a whole. Your own model might do all sorts of clever stuff under the hood, but its prediction will be expressible to first order in terms of R₀ and that's what people are going to be interested in.
- SpicyLemonZest 6y agoIt's a valuable descriptive statistic, but it's very prone to misinterpretation. I've seen a lot of people follow sites like rt.live, where they claim to produce "up-to-date-values for R" and draw (their arbitrary estimate of) R=1 as the dividing line between good and bad. So I'm not sure it ends up as a net positive to the public's understanding of the virus.
- jacquesm 6y agoR0 is an observation, and an average at that. So of course there is huge variance, that's the whole reason we need it in the first place.
- jshen 6y agoYou obviously didn’t read the article.
- dtech 6y agoSome people earn $0, others earn $1000000 a year. That doesn't mean mean an aggregate like mean income isn't useful
- jessaustin 6y agoIncome is a perfect example of a quantity for which mean is not an informative statistic. Really, anything more-or-less bounded on one side is not well-characterized by the mean.
- learnstats2 6y agoIt precisely does mean that mean income isn't useful. Governments don't (or shouldn't) quote it, because it tells you more about the richest person than it does about the population as an aggregate measure.
- newacct583 6y ago> I feel uninterested in R-nought (or R) when there is evidence for a huge variance around how many people each person will infect. Epidemics are by definition aggregate effects. They're defined by statistical models at all levels. Everyone involved understands that there is variance in individual cases. That's literally the whole point of the field inventing terms like R0! I genuinely don't understand what you're trying to say here. It sounds suspiciously like "I don't understand statistics so I refuse to believe in any models that use them."
- learnstats2 6y agoWhat I'm trying to say is: I do understand statistics and therefore the mean is something I would not use in my modelling when there is a high skew in the data: here, the skew appears to be incredibly high - so the mean (here called "R0") is not reliable at all.