Barely Significant
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Genetic tests for estimating dairy breed proportion and parentage assignment in East African crossbred cattle.

Genet Sel Evol · 2017 · PMC5596489 · PMID 28899355

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The sentences

highly significantP < 0.0001actually significant
Although statistically highly significant (P < 0.0001), this difference is small since only a proportion of SNPs were tested with the SNP panels.

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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.