pskewness Interface

public interface pskewness

Calculates the population skewness of a set of values given in a vector of any size with one dimension applying the following equation:

$$S_{x} = \frac{1}{n }\sum\limits_{i=1}^{n}\left( \frac{x_{i}-\overline{x} }{\sigma_{x}} \right)^3$$

Where:

• $x$ is a vector with real numbers.
• $n$ is how many numbers are included in $x$.

Syntax

y = pskewness(x)

Where:

• x = vector of rank 1 with real numbers. See this example to use an array of rank larger than 1.
• y = real number of the same kind as x with the population skewness of x.

Example

The following program calculates the population skewness of a vector:

 PROGRAM pskewnessExample
    USE FU_Statistics, ONLY: pskewness
    IMPLICIT NONE
    REAL, DIMENSION(5) :: x = [1., 2., 3., 4., 5.]
    WRITE(*,*) pskewness(x)
 END PROGRAM pskewnessExample

Module Procedures