Barely Significant
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Design and analysis of randomized clinical trials requiring prolonged observation of each patient. II. analysis and examples.

Br J Cancer · 1977 · PMC2025310 · PMID 831755

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highly significantno p-value reported
Even if survival is not significantly different, there may be a highly significant immediate effect of one treatment which is of great interest.

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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.