Right, it is merely much more likely to be false than true.
http://www.plosmedicine.org/article/info:doi/10.1371/journal.pmed.0020124
Interesting looking article, but it will take a while to digest properly. I have an elderly friend, now an adjunct professor at a globally known medicial university. He used to be head of research for a major multi-national pharmaceutical company. He has told me the multi-national would as part of it's standard operating procedure have a study on the efficacy of a drug be done at least 20 times.
One study would be published.
I'm sure you understand the implications of that.
Yes, that is the heart of evidence-based medicine. And that is why use of these supplements is not generally recommended.
absence of evidence is not evidence of absence. When something makes logical sense, it still makes logical sense.
No it doesn't - immortality would have to be conferred by taking the anti-oxidants and by not taking the anti-oxidants. There were 405 studies excluded because there were no deaths in both study groups, not that there were no deaths in the anti-oxidants group but some deaths in the control group.
This has to be considered in the context of the researchers publicising the finding that antioxidants may *increase* risk of death - which come to think of it was a classic example of the problem of sub-group analysis as highlighted earlier.
And even if they manage to not to obscure the results, you still obtain all your information about the results from the studies that were not excluded.
This may be the case when determining whether or not anti-oxidants
decrease mortality, but not I believe with the claim they
increase it.
The studies included in the Cochrane analysis were tested for homogeneity and were found to be homogeneous. I agree that it is reasonable to be cautious about meta-analysis. But a careful reading of the study shows that it has the characteristics that allow one to form reliable conclusions - that is, it fulfills the criteria one uses to judge whether it is valid.
Might fulfill yours and the Cochrane researchers criteria, it doesn't fulfill mine! And I'm not the only statistician (though well out of practice) to feel that way about meta-analyses.