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The question is not "are journals biased?" The question is, are more respected journals less likely to publish a falsehood? If the "better" journals have more accurate reviewers or more reviewers then yeah, they will publish fewer falsehoods.

Re: the formula (1-p)^n. It's http://en.wikipedia.org/wiki/Geometric_distribution . If the observers are independent then the formula holds. If they're not then it holds approximately according to how dependent the different observers are.

"The question is not "are journals biased?" The question is, are more respected journals less likely to publish a falsehood?"

What you said originally was that if the author's evidence was sufficient then he would have been able to get in published in a better journal. But if you're admitting that journals are biased, then surely you must see that your original assertion doesn't always --or maybe even often-- hold. Maybe it's true, but I'm certainly not willing to accept it on faith.

"If the "better" journals have more accurate reviewers or more reviewers then yeah, they will publish fewer falsehoods."

Your definition of 'better' journals sounds like a tautology. How do you know that 'better' journals have better reviewers? Can you actually prove that having better reviewers is what makes 'better' journals better?

I'd certainly be willing to be persuaded by evidence, but right now I believe that the best journals are the ones with the best vetting process about as much as I believe the best vodka is the one that costs the most, the world's best author is the one with the most sales, etc.

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