Barely Significant
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Estimating mutual information using B-spline functions--an improved similarity measure for analysing gene expression data.

BMC Bioinformatics · 2004 · PMC516800 · PMID 15339346

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highly significantno p-value reported
The second dataset, in contrast, reveals highly significant tuples with high mutual information and low Pearson correlation.

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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.