Barely Significant
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Budgerigars have complex sleep structure similar to that of mammals.

PLoS Biol · 2020 · PMC7707536 · PMID 33201883

2
hedged sentences
0.0020
closest p · 0.0× alpha
0.0600
boldest claim

The sentences

highly significantp = 0.002actually significant
These trends in IS and SWS were not significant, but as per above this was due to the low TST in the first hour of night: when this hour was omitted, there was a highly significant linear decrease in both IS (slope = -4.90 s/hour of night, r 2 = 0.732, p = 0.002) and SWS (slope = −7.66 s/hour of night, r 2 = 0.753, p = 0.001).

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did not quite achieve significancep = 0.06so close (0.05 < p ≤ 0.1)
On average, NREM episodes (25.1 ± 6.6 s) were longer than REM episodes (11.3 ± 5.1 s) ( Fig 3B ) although this difference did not quite achieve significance (paired t test, t (4) = 2.57, p = 0.06).

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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.