by using this formula
where y=data values at times i and j and n=length of the data set
and
Under the null hypothesis that yi are independent and randomly ordered, the statistic S is approximately normally distributed when n≥8, with zero mean and variance as follows:
The standardized test statistic ZS is computed by:
Decide on a probability level of significance (95% typically)
The trend is said to be decreasing if ZS is negative and the computed probability is greater than the level of significance. The trend is said to be increasing if the ZS is positive and the computed probability is greater than the level of significance. If the computed probability is less than the level of significance, there is no trend.
you can use Excel to compute the equations. Tq
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Mann-Kendall test
Analysis of Variance (ANOVA) compares 3 or more means. The t-test would only compare 2 means.
In a lab or wherever they can conduct an experiment
Correlation and regression analysis can help business to investigate the determinants of key variables such as their sales. Variations in a companies sales are likely to be related to variation in product prices,consumers,incomes,tastes and preference's multiple regression analysis can be used to investigate the nature of this relationship and correlation analysis can be used to test the goodness of fit. Regression can also be used to estimate the trend in a time series to make forecast
It can be, but it is also a statistical distribution in its own right - on which the test is based.