Barely Significant
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In Healthy Young Men, a Short Exhaustive Exercise Alters the Oxidative Stress Only Slightly, Independent of the Actual Fitness.

Oxid Med Cell Longev · 2016 · PMC4773557 · PMID 26989456

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The sentences

highly significantP < 0.0001actually significant
As an example, the dependence of the exercise-induced change in the activity of Catalase on its initial activity was highly significant ( P < 0.0001) and strong ( R 2 = 0.43).

also in 132,142 other papers

G6PD decreased slightly and insignificantly, whereas the activity of all other studied enzymes increased slightly or moderately but the increase did not reach statistical significance and even the statistically significant changes were relatively small (up to ca 20%), as seen in Figure 1 .

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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.