skew {semTools}R Documentation

Finding skewness

Description

Finding skewness (g1) of an object

Usage

skew(object, population=FALSE)

Arguments

object

A vector used to find a skewness

population

TRUE to compute the parameter formula. FALSE to compute the sample statistic formula.

Details

The skewness computed is g1. The parameter skewness γ_{2} formula is

γ_{2} = \frac{μ_{3}}{μ^{3/2}_{2}},

where μ_{i} denotes the i order central moment.

The excessive kurtosis formula for sample statistic g_{2} is

g_{2} = \frac{k_{3}}{k^{2}_{2}},

where k_{i} are the i order k-statistic.

The standard error of the skewness is

Var(\hat{g}_2) = \frac{6}{N}

where N is the sample size.

Value

A value of a skewness with a test statistic if the population is specified as FALSE

Author(s)

Sunthud Pornprasertmanit (psunthud@gmail.com)

References

Weisstein, Eric W. (n.d.). Skewness. Retrived from MathWorld–A Wolfram Web Resource http://mathworld.wolfram.com/Skewness.html

See Also

Examples

skew(1:5)

[Package semTools version 0.4-14 Index]