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Statistical significance is a characteristic of a statistic viewed in light of a null hypothesis and a given significance level. It reflects whether the statistic belongs to the rejection region (is statistically significant) or the acceptance region (is not statistically significant).

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Which statistical tests to use for identifying trends in multiple time series?

I'm processing several time series in an effort to identify meaningful trends over time. More specifically, I'm computing several time- and frequency-domain metrics (e.g. RMS, Peak-to-Peak, Integral, …
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