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Standard Error of the
Coefficient of Variation

Providing certain assumptions are met, the standard error of the coefficient of variation (SE(CV)) can be estimated using this equation:

Algebraically speaking -

SE (CV)  ≈        CV     1+2  (  CV  ) 2
√(2n) 100 

When the CV is less than 15, a much simpler formula can be used:

SE (CV) ≈      CV  
  • CV is the coefficient of variation,
  • n is the number of observations.

This expression for the standard error is approximate and assumes that samples are being drawn from a normally distributed population.