Barely Significant
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Hemispheric division of function is the result of independent probabilistic biases.

Neuropsychologia · 2009 · PMC2706326 · PMID 19428426

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The sentences

highly significantp < .001actually significant
Strong positive correlations were found for both the word generation ( r = .61) and spatial memory task ( r = .59), which were both highly significant ( p < .001).

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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.