Barely Significant
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Juvenile zebra finches learn the underlying structural regularities of their fathers' song.

Front Psychol · 2015 · PMC4424812 · PMID 26005428

Europe PMCDOI
2
hedged sentences
0.0030
closest p · 0.1× alpha
0.0030
boldest claim

The sentences

highly significantp < 0.003actually significant
A Kruskal–Wallis test revealed this difference to be highly significant ( p < 0.003).

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marginally significantno p-value reported
The former successfully uncovered structural similarities in SAME pairs compared to DIFF pairs for a number of the grammars described above (SYL+M1, COL without introductory notes, MOTIF with and without introductory notes, ADIOS with and without introductory notes, SEQUITUR without introductory notes), while the latter showed a marginally significant difference only with two grammars (SYL, MOTIF without introductory notes).

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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.