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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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Can I assess the significance of a linear trend by correlating the trend to the data?

I have an approx. 50 year time-series of the maximum wind speed for a given location in summer (Dec-Jan-Feb). The time-series shows a negative linear trend (weakening of the winds over time), however …
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