Harmonic Mean
The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals of the input values. Common uses include computing the mean of ratios, for instance the average P/E ratio in a portfolio. Also it is the correct mean for averaging speeds weighted for distance.
harmonic_mean(x, weights = NULL, na.rm = c(TRUE, FALSE))
x |
A vector of values to take the harmonic mean for |
weights |
Optional vector of weights. |
na.rm |
remove NAs (default = TRUE). |
Harmonic mean of x
Other Miscellaneous Stats Functions:
FishersMethod(),
SE_from_p(),
geometric_mean(),
oddsratio(),
reliability(),
umxCov2cor(),
umxHetCor(),
umxWeightedAIC(),
umx_apply(),
umx_cor(),
umx_means(),
umx_r_test(),
umx_round(),
umx_scale(),
umx_var(),
umx
# Harmonic means are suitable for ratios tmp = c(33/1, 23/1) harmonic_mean(tmp) geometric_mean(tmp) mean(tmp) # Example with weights harmonic_mean(c(33/1, 23/1), weights= c(.2, .8)) # If Jack travels outbound at 1 mph, and returns at 10 miles an hour, what is his average speed? harmonic_mean(c(1,10)) # 1.81 mph
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