bowley {reflimR}

Bowley skewness

Description

Calculates a robust skewness measure for x based on the interquartile range (or any other quantile range).

Usage

bowley(x, alpha = 0.25)

Arguments

x

numeric vector

alpha

lower quantile of the range to be regarded (e. g. 0.25)

Details

Bowley's quantile skewness is calculated from (q[1] - 2 * q[2] + q[3]) / (q[3] - q[1]), where q is a vector of quantiles alpha, 0.5, and 1 - alpha. The default value for alpha = 0.25 indicates an interval from the first to the third quartile.

Value

Bowley's quantile skewness

References

1. Bowley, AL (1920). Elements of Statistics. London : P.S. King & Son, Ltd.

2. Klawonn F, Hoffmann G, Orth M. Quantitative laboratory results: normal or lognormal distribution. J Lab Med 2020; 44: 143–50. doi:10.1515/labmed-2020-0005.

Examples

bowley(1 : 100)
bowley(rnorm(1000, 3, 0.2))
bowley(rlnorm(1000, 3, 0.5))