![]() The analysis shown in Figure 2 confirms that there is significant evidence for the claim that the data has a trend based on a two-sided test. This is consistent with the line chart of the time series data shown in Figure 3. Note that S = -44 (cell R7), which indicates the potential for a downward trend. In fact, the MK Test, based on this table is shown in Figure 2. S is now the sum of the elements in this table. Note that if S > 0 then later observations in the time series tend to be larger than those that appear earlier in the time series, while the reverse is true if S COLUMN(D4)-COLUMN($D4),SIGN($C4-D$3),””) , x n, the MK Test uses the following statistic: The null hypothesis for this test is that there is no trend, and the alternative hypothesis is that there is a trend in the two-sided test or that there is an upward trend (or downward trend) in the one-sided test. It does require that there is no autocorrelation. ![]() It does not require that the data be normally distributed or linear. ![]() The Mann-Kendall Test is used to determine whether a time series has a monotonic upward or downward trend.
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