Barely Significant
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Alliance and Treatment Outcome in Family-Involved Treatment for Youth Problems: A Three-Level Meta-analysis.

Clin Child Fam Psychol Rev · 2018 · PMC5899120 · PMID 29218565

3
hedged sentences
0.0670
closest p · 1.3× alpha
0.0670
boldest claim

The sentences

just failed to reach significancep = .067so close (0.05 < p ≤ 0.1)
The effect size for the correlation between alliance change scores and outcome just failed to reach significance, showing a trend ( r = .281, CI − .023, .538; p = .067), which suggests that alliances that improve during the treatment process might lead to more favorable treatment outcomes.

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marginally significantno p-value reported
If we take into account that our meta-analysis on alliance change scores and treatment outcome showed a marginally significant larger effect size compared to the association between level of alliance and outcome, our findings underline the importance of viewing the alliance as a dynamic process rather than a static, single-moment entity.

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a trend toward significanceno p-value reported
Results of the analysis on the association between alliance change scores and treatment outcome showed a trend toward significance indicating a moderate association of r = .281, which is considerably larger than the correlation between level of alliance with fixed moment measures and treatment outcome ( r = .18).

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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.