Barely Significant
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EEG alpha synchronization is related to top-down processing in convergent and divergent thinking.

Neuropsychologia · 2011 · PMC3198250 · PMID 21925520

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hedged sentences
0.0010
closest p · 0.0× alpha
0.6600
boldest claim

The sentences

highly significantp < .001actually significant
Most interestingly, there was a highly significant main effect CONDITION ( F [1,29] = 26.27, p < .001, partial- η 2 = .48), revealing generally stronger alpha-synchronization (or lower alpha-desynchronization, respectively) during task performance under high as compared to low internal processing demands (see Fig. 2 ).

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While the four-way interaction (additionally involving TASK), however, failed to reach statistical significance ( p = .66), a follow-up univariate analysis (Greenhouse-Geisser corrected dfs) per task revealed a significant CONDITION × AREA × HEMISPHERE interaction only for the divergent task ( F [2.23,64.63] = 7.27, p < .001, partial- η 2 = .20) but not for the convergent task ( F [3.17,91.83] = 1.15, ns ., partial- η 2 = .04).

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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.