Rafael Irizarry makes an interesting contribution to a discussion about whether the standard statistical significance threshold (p < 0.05) should be tightened up.
"The gist of my thought is that, for some scientific fields, the
pessimist's criticism is missing a critical point: that in practice,
there is an inverse relationship between increasing rates of true
discoveries and decreasing rates of false discoveries and that true
discoveries from fields such as the biomedical sciences provide an
enormous benefit to society."
While Irizarry's comment dwells on the hard sciences, recognizing the
inevitable trade off between stringency and discovery (by plotting true
positive and false positive rates for a given classifying procedure)
potentially implicates empirical legal scholarship as well.
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