Barely Significant
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A Bayesian approach to efficient differential allocation for resampling-based significance testing.

BMC Bioinformatics · 2009 · PMC2718927 · PMID 19558706

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likely to be significantno p-value reported
Techniques such as this are different from our situation since we are taking a non-parametric approach to a simpler testing situation, but we still share the similar idea that one can gain power by differentially allocating resources towards the tests that are most likely to be significant.

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Quoted from the open-access full text in Europe PMC under the licence the publisher applied. The sentence is reproduced exactly as published; the emphasis is ours.