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It means, within the laws of statistical analysis, that the statistic occurs more frequently than the baseline number which is considered "random" for the particular application. It happens more frequently than "random" - hence there is, or may be, something "significant" about that.

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Q: What does it mean if a statistic is significant?
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A high F statistic would results in a lower Sig, or P value, which would indicate that your results are significant.


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