kurt {MSMU} | R Documentation |
Compute Sample Kurtosis
Description
Calculates the kurtosis of a numeric vector. A value near 0 suggests normal kurtosis (mesokurtic), positive values indicate heavier tails (leptokurtic), and negative values indicate lighter tails (platykurtic).
Usage
kurt(x)
Arguments
x |
A numeric vector. |
Details
The z-scores are computed as:
z_i = \frac{x_i - \bar{x}}{sd}
The kurtosis is then calculated as:
\text{Kurtosis} = \frac{1}{n} \sum_{i=1}^{n} z_i^4 - 3
Where:
-
\bar{x}
is the mean ofx
, -
sd
is the standard deviation ofx
, and
n
is the number of observations.
Value
A single numeric value representing the kurtosis
Examples
# Kurtosis of mpg in mtcars
data("mtcars")
kurt(mtcars$mpg)
[Package MSMU version 0.1.2 Index]