Barely Significant
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Comparison of multimarker logistic regression models, with application to a genomewide scan of schizophrenia.

BMC Genet · 2010 · PMC2949738 · PMID 20828390

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marginally significantno p-value reported
Marginally significant results To give a high-level comparison of results from each model, we firstly present the number of tests on each chromosome which had p-value 1 × 10 -4 or less.

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highly significantno p-value reported
The prior odds for a specific variant being associated are so low that a highly significant p-value threshold is needed to give confidence that a seemingly statistically significant result is a true positive [ 6 , 7 ].

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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.