Barely Significant
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Magnesium-L-threonate improves sleep quality and daytime functioning in adults with self-reported sleep problems: A randomized controlled trial.

Sleep Med X · 2024 · PMC11381753 · PMID 39252819

3
hedged sentences
0.0590
closest p · 1.2× alpha
0.0590
boldest claim

The sentences

approached significancep = 0.059so close (0.05 < p ≤ 0.1)
Comparing activity daily movement score, MgT approached significance at day 7 (p = 0.059) and was significantly improved at day 14 (p = 0.035) and day 21 (p = 0.044) over placebo.

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failed to reach significanceno p-value reported
In most of the measurements using questionnaires, both MgT group and placebo group showed a statistical significance over the baseline (as evidenced by the significant p values of condition and time separately) but failed to reach significance when compared between MgT and placebo (as evidenced by the p value of the interaction).

also in 4,113 other papers

Nonsignificant improvements (i.e., trending in the right direction) were evidenced for the MgT compared to the placebo for most other LSEQ and RSQ parameters; they did not reach statistical significance, apparently due to the strong placebo effects that is often associated with subjective measures.

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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.