I initially responded to an overly broad generic comment
" Since the vaccines didn’t stop transmission, can’t the same be said of them? "
with the broadly true statement that no vaccine that I'm aware of stops transmission .. they ideally reduce transmission* (being effectively not a vaccine if they fail to slow spread through a population (or mitigate effects of a virus that does spread)).
The studies I cite are just two (of many) first off the rank that demonstrate that the two of the more widely used vaccines did indeed slow transmission at the time they were used.
> Here's a better example. In a 94% vaccinated study, 56% reported being unaware of their infection:
I read that with interest the entire way through,
* it fails to support a claim that "vaccines did not reduce transmission of Delta or Omicron variants"
* it supports a claim that "vaccines reduced the effect of having a COVID variant (to the degree that most did not even realise they'd been infected)"
The specific statistical reason that your "better example" doesn't address the transmission rate (through vaccinated Vs unvaccinated populations) is that it exclusively looks at people infected and the bulk of those are vaccinated.
There's no larger view there of infection rates in a bigger population, and no differential look at infection rates in unavaccinated Vs vaccinated.
What the study confirms (re: transmission) is something I conceded in my first coment: vaccines do not stop transmission
(again, they ideally reduce transmission rates (not addressed in your 'better' study)).
If you're interested in a longwinded careful, multi factor analysis and model type paper (of which there are many) one such example is
which is detailed but lacks any clearcut gotcha messages .. it bears close reading and laments in places the lack of early vaccine uptake in the population (Australia) during the Delta and Omnicron waves (ie. supports vaccines reducing transmission rates, doesn't dwell on it as not enough people are vaccinated at that time and so looks at other mitigations).
" Since the vaccines didn’t stop transmission, can’t the same be said of them? "
with the broadly true statement that no vaccine that I'm aware of stops transmission .. they ideally reduce transmission* (being effectively not a vaccine if they fail to slow spread through a population (or mitigate effects of a virus that does spread)).
The studies I cite are just two (of many) first off the rank that demonstrate that the two of the more widely used vaccines did indeed slow transmission at the time they were used.
> Here's a better example. In a 94% vaccinated study, 56% reported being unaware of their infection:
I read that with interest the entire way through,
* it fails to support a claim that "vaccines did not reduce transmission of Delta or Omicron variants"
* it supports a claim that "vaccines reduced the effect of having a COVID variant (to the degree that most did not even realise they'd been infected)"
The specific statistical reason that your "better example" doesn't address the transmission rate (through vaccinated Vs unvaccinated populations) is that it exclusively looks at people infected and the bulk of those are vaccinated.
There's no larger view there of infection rates in a bigger population, and no differential look at infection rates in unavaccinated Vs vaccinated.
What the study confirms (re: transmission) is something I conceded in my first coment: vaccines do not stop transmission
(again, they ideally reduce transmission rates (not addressed in your 'better' study)).
If you're interested in a longwinded careful, multi factor analysis and model type paper (of which there are many) one such example is
https://www.frontiersin.org/articles/10.3389/fpubh.2022.8230...
which is detailed but lacks any clearcut gotcha messages .. it bears close reading and laments in places the lack of early vaccine uptake in the population (Australia) during the Delta and Omnicron waves (ie. supports vaccines reducing transmission rates, doesn't dwell on it as not enough people are vaccinated at that time and so looks at other mitigations).