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Originally Posted by
prosciencemum 
OK maybe a factor of two is pushing it, but if there was a serious increase in the rate of these things in vaccinated children it's likely it would have been noticed. That was my point.
It is true that 95% of the measurements will be in the confidence interval, but it's also true that the distribution is not flat, so it's more likely the true value is close to the estimate based on the sample measurement. For example its very unlikely that all three rates for unvaccinated kids were high while all three for vaccinated were low. And that's what would be needed to hide a big difference in the rates in the sense that proves vaccines are correlated to these diseases (which are all long term in this example, so I doubt parents "forgetting" could be a major issue).
I hope this will be repeated with a larger sample size. It is very important to keep looking for these effects.
I think you have to quantify "likely", maybe.... which is what confidence intervals try to do. It would have been interesting to see the stats for all children at once, not subdivided into three groups, I think. As it is, when one child's (or one family's) answers could change the results by perhaps ten percentage points, I think likely is too strong a word.
The vaccine data was collected over the long-term, but the info about disease history was based on a retrospective, one-time survey sent to parents, so it's very subject to parental forgetfulness, or perhaps confabulation - if non-vaxing parents believe that not vaxing reduced their children's chance of getting certain diseases, then their memories will be more likely to support that. Or is there a bias in survey response - are non-vaxers with ill children less trusting of the government and therefore less likely to return surveys?
Also, it seems likely to me that many of the non-vaxed children would be from the same families - if parents don't vaccinate one child, why would they vaccinate subsequent ones? So they're not truly independent.
I think some qualitative research would have been helpful here, as well as a larger sample of unvaxed kids and a distinction between fully vaxed kids and partially vaxed kids. Research with people is really different from most physical science stuff - there are a lot more variables that can't be controlled, ethically, and it's hard to understand the whole picture without understanding the people.
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