gwern comments on Outside the Laboratory - Less Wrong
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I'd rather prefer two studies with 0.05% on the same claim by different scientifists to one study with 0.005%. Proving replicable of scientific studies with actually replicating them is better than going for a even lower p value.
I wouldn't. Two studies opens the door to publication bias concerns and muddles the 'replication': rarely do people do a straight replication.
From Nickerson in http://lesswrong.com/lw/g13/against_nhst/
Agreed. It's much easier for a false effect to garner two 'statistically significant' studies with p < .05 than to gain one statistically significant study with p < .005 (though you really want p < .0001).
If you put the general significance standard at P<0.005 you will even further decrease the amount of straight replications. We need more straight replication instead of less.
A single study can wrong due to systematic bias. One researcher could engage in fraud and therefore get a P<0.005 result. He could also simply be bad at blinding his subjects properly. There are many possible ways to get a P<0.005 result by messing up the underlying science in a way that you can't see by reading a paper.
Having a second researcher reproduce the effects is vital to know that the first result is not due to some error in the experiment setup of the first study.