Barely Significant
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We should have seen this coming.

Front Hum Neurosci · 2014 · PMC4034337 · PMID 24904372

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The sentences

highly significantno p-value reported
But what constitutes extraordinary evidence? The results of this and other similar meta-analyses on psi effects are highly significant under commonly used inferential statistics and in many cases also strongly supported by Bayesian inference.

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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.