Barely Significant
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No evidence for theta power as a marker of hypnotic state in highly hypnotizable subjects.

Heliyon · 2021 · PMC8102752 · PMID 33997402

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almost significantno p-value reported
A decrease in gamma power under hypnotic suggestion and an almost significant decrease under neutral hypnosis were observed, compared to post-hypnosis.

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That said, the difference between HY and PoH did not reach statistical significance whereas that between SU and PoH did, so the gamma power may have been influenced by our hypnotic suggestion for altering tone perception ( Hiltunen et al., 2019 , p. 199): They are just in the background as if they are meaningless and muffled...

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The mean gamma powers under both hypnotic conditions were highly similar ( Figure 2 ), while the decrease of gamma power in HY compared to PoH almost reached statistical significance.

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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.