Barely Significant
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When one size does not fit all: a simple statistical method to deal with across-individual variations of effects.

PLoS One · 2012 · PMC3377596 · PMID 22723931

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hedged sentence
0.0010
closest p · 0.0× alpha
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boldest claim

The sentences

highly significantp<0.001actually significant
In our aforementioned study, the systematic inaccuracies revealed highly significant (F tests, p<0.001 for 6 out of 10 subjects).

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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.