harmonic_mean {umx}

Harmonic Mean

Description

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.

Usage

harmonic_mean(x, weights = NULL, na.rm = c(TRUE, FALSE))

Arguments

x

A vector of values to take the harmonic mean for

weights

Optional vector of weights.

na.rm

remove NAs (default = TRUE).

Value

• Harmonic mean of x

References

• https://en.wikipedia.org/wiki/Harmonic_mean

See Also

Other Miscellaneous Stats Functions: FishersMethod(), SE_from_p(), geometric_mean(), oddsratio(), reliability(), umxCov2cor(), umxHetCor(), umxParan(), umxWeightedAIC(), umx_apply(), umx_cor(), umx_means(), umx_r_test(), umx_round(), umx_scale(), umx_var(), umx

Examples

# 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