Barely Significant
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Assessing multivariate gene-metabolome associations with rare variants using Bayesian reduced rank regression.

Bioinformatics · 2014 · PMC4080737 · PMID 24665129

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closest p · 1.0× alpha
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The sentences

nominally significantP < 0.05actually significant
We considered a replication significant if the test was nominally significant ( P < 0.05) in both replication datasets, and the P -value for the pooled estimate was significant after correcting for the multiple tests.

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highly significantno p-value reported
For example, when we investigated the results more carefully, we discovered SNPs in which the minor allele was present in few individuals, and such individuals could be almost perfectly identified by a seemingly random combination of phenotypes, leading to a large spurious canonical correlation test score (or, equivalently, a highly significant P -value).

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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.