Harmonic Mean and Its Confidence Interval
Calculates the harmonic mean and its confidence interval of a vector x.
Hmean(x, method = c("classic", "boot"), conf.level = NA, sides = c("two.sided","left","right"), na.rm = FALSE, ...)
- a positive numeric vector. An object which is not a vector is coerced (if possible) by as.vector.
- a vector of character strings representing the type of intervals required. The value should be any subset of the values
- confidence level of the interval. Default is
- a character string specifying the side of the confidence interval, must be one of
"right". You can specify just the initial letter.
"left"would be analogue to a hypothesis of
- logical, indicating whether
NAvalues should be stripped before the computation proceeds. Defaults to
- further arguments are passed to the
bootfunction. Supported arguments are
paralleland the number of bootstrap replicates
R. If not defined those will be set to their defaults, being
"boot.parallel"(and if that is not set,
To compute the harmonic mean,
1/x is first calculated, before the arithmetic mean and its confidence interval are computed by
MeanCI. The harmonic mean is then the reciprocal of the arithmetic mean of the reciprocals of the values. The same applies to the confidence interval.
The harmonic mean is restricted to strictly positive inputs, if any argument is negative, then the result will be
If the lower bound of the confidence interval is not greater than zero, then the confidence interval is not defined, and thus
NA will be reported.
sapply to calculate the measures from data frame, resp. from a matrix.
a numeric value.
Snedecor, G. W., Cochran, W. G. (1989) Statistical Methods, 8th ed. Ames, IA: Iowa State University Press
x <- runif(5) Hmean(x) m <- matrix(runif(50), nrow = 10) apply(m, 2, Hmean) sapply(as.data.frame(m), Hmean)