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> the research doesn't mention anything about the socioeconomic environment in which each of the children grew in.

The main trick behind randomized control trials is that you can disregard factors like this because these effects would be randomly distributed as well.

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Not always, and in this case, the study is very light on details on how the selection process was done. The burden of the RCT is on the research team and the quality of the randomization varies between studies.

If a study is going to draw debatable conclusion after 10 years on high dose Vitamin D during pregnancy, I'd expect at least some comment in the study on the general socio economic landscape and grouping.

Regardless, this study looks like a sham to me.

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