Barely Significant
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Why statistical inference from clinical trials is likely to generate false and irreproducible results.

BMC Med Res Methodol · 2017 · PMC5568363 · PMID 28830371

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highly significantno p-value reported
Another highly significant prognostic factor is the intrinsic aggressiveness of the disease; however, its reliable assessment at early stages of the disease has proven so far to be elusive.

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may be significantno p-value reported
The correction to the assumed asymptotic distribution with an infinite tail that arises from such a truncation, as measured by some probability metric, may be small; however, the downstream effects of this error on the distribution of the test statistic and outcomes of statistical analysis may 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.