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Use of the Geometric Mean Return Formula. The formula for the geometric mean return is used specifically for investments that are compounded. By contrast, a simple interest account would use the arithmetic average which is summing the rates and dividing by the number of periods.
Notice that the geometric CV is independent of the geometric mean (unlike the arithmetic CV which is dependent on the arithmetic mean) and the geometric CV is used in the sample size calculation.When calculating the geometric statistics, the data in original scale is log-transformed, then anti-log to transform back.n crossover design, the geometric CV can be estimated from the mixed model and is used to gauge the intra-subject variation. Geometric CV = sqrt(exp(std^2)-1) or CV=sqrt(exp(variance)-1) where the std^2 is estimated by the MSE. Variance is from ODS âCovParmsâ table of SAS PROC MIXEd.