Barely Significant
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Modeling for Fidelity: virtual mentorship by scientists fosters teacher self-efficacy and promotes implementation of novel high school biomedical curricula.

PLoS One · 2014 · PMC4281152 · PMID 25551645

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hedged sentence
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The sentences

highly significantp<0.0001actually significant
Even though average pre- and post-test scores were highly variable among schools (p<0.001, ANOVA) the pre- to post-change within each individual school was highly significant (p<0.0001, paired t test).

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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.