An operational definition of a statistically meaningful trend.

PLoS One · 2011 · PMC3084280 · PMID 21552532

Europe PMC DOI

hedged sentence

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closest p

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boldest claim

The sentences

a weak trendno p-value reported

highly significantno p-value reported

If a large number of data is available, even a weak trend with many data points scattered far away from the trend line and thus with a correlation coefficient (r 2 value) near zero can be highly significant [3] .

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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.