Rein in the Four Horsemen of Irreproducibility
nature.com
nature.com
Mark Crislip, host of PusCast, has made a few good wisecracks on this subject. Perhaps the most poetic is (paraphrasing here): "When you mix cow pie and apple pie, you do not make the cow pie better. You make the apple pie worse."
The quote referenced is poetic and pithy but I fail to understand how it applies to meta-analysis and selection bias. What is the cow pie in this scenario?
The root problem with using meta-analysis is that it just wasn't designed to work with real-world science. It generally assumes that it's being applied to an unbiased sample of unbiased results. It's now pretty well understood that the published literature is really a biased sample of (oftentimes) biased results. No amount of selection criteria can fix that; the best you can hope for is that they will yield a biased sample of unbiased results.
I'm no expert on health science, I'm just taking potshots from the peanut gallery, but I'd guess it's pretty much always better to ditch the shiny mathematical bauble and its false promise of providing an easy, simple, objective answer to an inherently subtle and complex problem, roll up your sleeves, and get to work on a proper systematic review.
Does this mean we cant do "science" on such a dataset? Maybe we cant do the "usual" science, of case vs. control => p.value. But a lot of domains of science operate on uncontrolled data sets and make do with post-hoc interpretation (geology, I'm looking at you).
We need different mathematical tools and epistemologies to confront these datatsets; we cant just hope that everyone will suddenly start doing it "right".
Bah, the real star of that sort of science is Astronomy!