Notes

 

1)       Probability that U or more upward trending sites occur in a random selection of size U+D, assuming that direction of trend at each site is independent, and that upward trending and downward trending sites are equally likely. 

 

2)       Probability that U+D or more of the sites would show trends at the given significance level, assuming that the measurements at each site are independent and approximately normally distributed.

 

3)       Probability that D or more downward trending sites occur in a random selection of size U+D, assuming that direction of trend at each site is independent, and that upward trending and downward trending sites are equally likely. 

 

Reference

 

[Gilbert, 1987].  Richard O. Gilbert, Statistical Methods for Environmental Pollution Monitoring.  New York:  Van Nostrand Reinhold.