Estimate skewness

Estimate the skewness of a numeric distribution.

Usage

estimate_skewness(x, na_rm = TRUE)

Arguments

x

Numeric vector.

na_rm

Logical value. If TRUE, missing values are removed before estimation.

Value

A numeric value giving the estimated skewness.

Details

The function computes the moment-based skewness

$$ \frac{\frac{1}{n}\sum_i (x_i - \bar{x})^3} {\left(\frac{1}{n}\sum_i (x_i - \bar{x})^2\right)^{3/2}} $$

Missing values are removed by default. Positive values indicate a distribution with a longer or heavier right tail; negative values indicate a distribution with a longer or heavier left tail.

See also

Other data analysis: acf_vec(), estimate_acf(), estimate_kurtosis(), estimate_mode(), estimate_pacf(), pacf_vec(), summarise_data(), summarise_split(), summarise_stats()

Examples

x <- c(1, 2, 3, 4, 10, NA)

estimate_skewness(x)
#> [1] 1.13842
estimate_skewness(x, na_rm = TRUE)
#> [1] 1.13842

set.seed(123)
y <- rexp(100)
estimate_skewness(y)
#> [1] 2.790016