Geometric Mean
The Geometric mean is the nth-root of the product of n input values.
Common uses include computing economic utility. That is to say, the utility of
c(1, 2, 10) is
(1 * 2 * 10)/3
= 6.6 not 6.3 (the arithmetic mean).
geometric_mean(x, na.rm = c(TRUE, FALSE))
x |
A vector of values. |
na.rm |
remove NAs by default. |
Geometric mean of x
Other Miscellaneous Stats Functions:
FishersMethod(),
SE_from_p(),
harmonic_mean(),
oddsratio(),
reliability(),
umxCov2cor(),
umxHetCor(),
umxWeightedAIC(),
umx_apply(),
umx_cor(),
umx_means(),
umx_r_test(),
umx_round(),
umx_scale(),
umx_var(),
umx
geometric_mean(c(50, 100)) # For a given sum, geometric mean is maximised with equality geometric_mean(c(75,75)) v = c(1, 149); c(sum(v), geometric_mean(v), mean(v), median(v)) # 150.00000 12.20656 75.00000 75.00000 # Underlying logic sqrt(50 * 100) # Alternate form using logs exp(mean(log(c(50 *100)))) # Reciprocal duality 1/geometric_mean(c(100, 50)) geometric_mean(c(1/100, 1/50))
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