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z =    r -  ( 2nm + 1)
N
2nm(2nmN)
N2 (N − 1)
Where:
  • z is the z-statistic which is compared to the standard normal deviate;
  • r is the number of runs in your series;
  • n and m are the frequencies of your two classes of observations;
  • N is the total number of observations (= n + m)