kurtosis {analyzer}

Kurtosis

Description

kurtosis calculates the Kurtosis

Usage

kurtosis(x, na.rm = T)

Arguments

x

a numeric vector, matrix or a data.frame

na.rm

(logical) Should missing values be removed?

Details

This function calculates the kurtosis of data which is a measure of the "tailedness" of the probability distribution of a real-valued random variable. Like skewness, kurtosis describes the shape of a probability distribution. The formula used is:

\frac{E[(X-\mu)^{4}]}{( E[(X-\mu)^2])^{2}}

. This formula is the typical definition used in many older textbooks and wikipedia

Value

returns a single value if x is a vector, otherwise a named vector of size = ncol(x).

Examples

# for a single vector
kurtosis(mtcars$mpg)

# for a dataframe
kurtosis(mtcars)