Barely Significant
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Bias in phylogenetic tree reconciliation methods: implications for vertebrate genome evolution.

Genome Biol · 2007 · PMC2323230 · PMID 17634151

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The sentences

highly significantP = 0.0001actually significant
The correlation on just tip branches remains strong and highly significant (mammals: r = 0.99, P = 0.0001; Drosophila : r = 0.97, P = 0.001).

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mildly significantP = 0.01actually significant
The number of gene losses also appears to be badly estimated by tree reconciliation methods: correlation with likelihood estimates is either non-significant (mammals: r = 0.52, P = 0.18) or mildly significant ( Drosophila : r = 0.63, P = 0.01).

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marginally significantP = 0.045actually significant
As shown in Table 1 , there is no significant correlation between the number of gains and bootstrap cut-off for doublet branches in Drosophila ( r = -0.12, P = 0.83), and only a marginally significant relationship in mammals, but in the opposite direction from the relationships found earlier ( r = -0.82, P = 0.045).

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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.