Let's look at some data. 50% of the Irish population are day 60+. 10% day 120+. 4.3% day 180+. We currently have 13.5% of the population unvaccinated (including all 0-11yo). Consider medrxiv.org/content/10.110… even with is bias issues
The 4.3% vaccinated for more than 180 days -best case- have the same viral load as the 13.5% unvaccinated. That leaves 5.7% on days 120-180 with a Ct increase of 0.3 which corresponds to a viral load reduction of 19%. Then 40% on days 60-120 Ct increase of 0.7 or 39% lower load
Take a group of 20 people chosen at random (including 0-11yo). About 3 will be unvaxed. 1 will be 180+ days (same risk as unvax), 1 will be 120-180 days (81% risk), 8 will be 60-120 days (61% risk) so the 60+ days fully vax represent (1+0.81+8*0.61)/3=2.2x risk of unvaxed
And that represents the lower limit. Because of the biases in the paper, the real risk from the vaccinated is actually likely to be higher. Also for office workers we need to exclude the 0-17yo which significantly reduces the proportion of unvaxed.
As people in Ireland return to the offices, if you fear getting infected (and your vax should mean you have not much to fear if you are infected... that's why you got the vax) you are at least twice as likely to be infected by one of your fellow vax office workers not the unvaxed
We can refine some more... 66% are day 30+ so that means 16% are days 30-60. They see a Ct change of 3.6 which is a whopping 91% lower load. There's 3 of them in our 20. Finally 73.5% on day 1+ full vax so that's 7.5% days 7-30 with a 93% lower load
So now the fully vaxed in total represent:
(1*1+1*0.81+8*0.61+3*0.09+1*0.07) = 7
In the group of 20 the 14 fully vaxed represent the same absolute risk as 7 unvaxed, yet there are only 3 unvaxed so you are 2.3 times as likely to get infected from fully vaxed person than unvaxed
But remember, the study reporting these Ct value changes was only looking at patients, and so will be selectively seeing unvaxed with worse outcomes than vaxed.
Also none of their analysis was demographically matched. An earlier paper by the same group was demographically matched and that found Ct changes that were half what they found without demographic controls.
So *if* the Ct changes were only half as much when one controlled for demographics then we might see:
(1*1+1*0.90+8*0.77+3*0.28+1*0.25) = 9.15
In that scenario the 14 fully vaxed are 3 times as likely to infect you as the 3 unvaxed. That was just considering one potential bias 😬
Note: The OWID graphs do not clarify whether their fully vaccinated total is just "had 2nd dose" or "7 days after having 2nd dose" I have erred on the side of caution and assumed it's just "had" 2nd does, if it's 7 days then the % in 60+ increases from 50% to 56%
That represents an additional increase in risk from the fully vaxed group as there would then be 9 in the 60-120 days cohort. If you want to go crazy, consider also how many of the unvax are recovered (who have at least a 5-13x fold lower risk of getting infected than fully vax)
Our official stats are likely to under-estimate the recovered as, for example, we threw 40k potential positives off the queue for testing in April 2020. Also if this is to be believed we have 114k active cases with a 14 day recovery that's 8.2k positives per day yet we see 1.5k
So let's assume the 1.5k positives is accurate, that means there are 21k active cases right now and thus 355k recovered out of 4.9 million or 7%
Unknowns:
* how many got the vax after anyway
* how many got the vax before
* how many were positive but never got a test
If none of the recovered got the vax then that means of the 13.5% unvaxed, half of them would be no risk.
If all of the recovered got the vax then we'd need to see what impact recovered status has depending on recovered pre or post vax... so loads more questions about recovered

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More from @connolly_s

13 Sep
Some interesting questions about the new "active" and "serious" by age graph on the IMoH dashboard. Here's "active" cases and the verticle black line is when they changed the dataset they were reporting
Question 1: What has caused the surge in the population of unvaccinated people that the normalized figures have dropped. If it was that the partially vaccinated were now being counted then we would expect absolute cases for 12-15 to jump by 1400 but they fall slightly... not that
Question 2: Where did the 1400 active cases in 12-15yo disappear to? They're not added to the unvaccinated cases... they're not added to the vaccinated cases... they're not added to the 3rd shot vaccinated cases... these cases have magically disappeared
Read 12 tweets
10 Sep
Ok. So I finally automated my Z-score analysis of Israeli case data. I have yet to automate publishing the generated graphs to Twitter... but here comes 9 weeks of the same analysis methodology... so you can easily compare. First up 29th August to 4th September inclusive
2021-08-22 to 2021-08-28
2021-08-15 to 2021-08-21
Read 17 tweets
30 Aug
Latest Israeli cases analysis, and previous analysis revisited.

First a data health warning. I am basing the numbers in each dose using the published data on ages of vaccinated (data.gov.il/dataset/covid-…).

The readme (data.gov.il/dataset/covid-…) has this caveat. 🤷

(1/n)
With the new data on the 3rd dose I have had to rework the analysis, so the layout will be slightly different than previously. Also to try and limit information overload I only present Z-scores and P-values for selected comparisons against both unvax and 2 dose fully vax

(2/n)
Anyway, here's the data. Interpretation to follow...

(3/n)
Read 11 tweets
18 Aug
Here's the update for Aug 8-14th
@RanIsraeli @MLevitt_NP2013 @prof_shahar @OS51388957 @daridor
I do not think my conclusion that its different reporting rates vs vaccination status is contradicted.
At this point I think this dataset on its own is telling all it can tell 1/n
That doesn't mean there are not useful analysis that can be constructed by pairing other data sets with this data set, but certainly anyone saying this data on its own shows any conclusion about rates across vaccination status is IMHO stretching beyond breakpoint 2/n
Also you can use this data to make statements about individual groups, e.g.:
* The case rate in the vaccinated group is not non-trivial, this supports the assertion that "vaccine does not prevent infection"
3/n
Read 7 tweets
11 Aug
Latest Israeli case data... @RanIsraeli @MLevitt_NP2013 it's complicated, but I'm going to try and explain what it says and what we can conclude. First the background 1/n
So there have been these spreadsheets popping up on social media reporting the age breakdown of cases and the percentage of the population fully vaccinated and highlighting the similarity of those numbers, citing datadashboard.health.gov.il/COVID-19/gener… as the source 2/n
Using that data I was able to compute statistical Z-scores, but as I do not speak Hebrew, my ability to verify the numbers was limited. Those Z-scores implied a significant difference in the case rate between vaccinated and unvaccinated with unvaccinated lower! 3/n
Read 26 tweets
9 Aug
When facing Z scores of 5 and 7 indicating that the unvaccinated care rate is significantly lower than the vaccinated case rate, the precautionary principle has a lot to say about whether to continue vaccination while we await understanding of the cause of this difference. Image
For a null hypothesis is that there is no difference in case rates between vaccinated and unvaccinated, the probability of observing a difference like this is 1 in 8110. This is monthly data so that's once in 675 years Image
The hypothesis everyone is hoping for is that the case rate for vaccinated is less than the case rate for unvaccinated. That requires us to use a single tailed test. The probability of seeing Z=7 on a single tailed test is 1 in 16,207 or once every 1350 years Image
Read 10 tweets

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