Barely Significant
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The 4.2 ka event is not remarkable in the context of Holocene climate variability.

Nat Commun · 2024 · PMC11297131 · PMID 39095415

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highly significantno p-value reported
Although the dry excursion at 8.2 ka became insignificant following the test-multiplicity correction, it remains significant for both temperature and hydroclimate if we consider net excursions (wet/warm minus cold/dry), and is highly significant when we consider the joint occurrence of cold and dry excursions (Fig. 3c ).

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marginally significantno p-value reported
Interestingly, this cold interval appears to predate the period of strongest volcanic activity and lowest solar irradiance of the first millennium, which coincides with the “Late Antique Little Ice Age” between 536 and 660 CE (ca 1.4 ka) 50 , although we find marginally significant excursions during that interval as well.

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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.