Barely Significant
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Integrated information increases with fitness in the evolution of animats.

PLoS Comput Biol · 2011 · PMC3197648 · PMID 22028639

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highly significantno p-value reported
For all measures, we observe positive and highly significant correlations with fitness ( Fig. 8 and Table 1 ).

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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.