gini.index {lawstat}

Measures of Relative Variability – Gini Index

Description

Gini index for measuring relative inequality (or relative variation) of the data (Gini 1912). NAs from the data are omitted.

Usage

gini.index(x)

Arguments

x

the input data.

Details

See also Gastwirth (1988).

Value

A list with the following components:

statistic

the Gini index.

parameter

the mean difference of the set of numbers.

data.name

a character string giving the name of the data.

Author(s)

Wallace Hui, Yulia R. Gel, Joseph L. Gastwirth, Weiwen Miao

References

Gastwirth JL (1988). Statistical Reasoning in Law and Public Policy: Statistical Concepts and Issues of Fairness, volume 1. Academic Press, San Diego, CA.

Gini C (1912). “Variabilita e mutabilita.” Reprinted in Memorie di Metodologica Statistica (Ed. Pizetti E. and Salvemini, T.), 1955, Rome: Libreria Eredi Virgilio Veschi. English translation in Metron, 2005, 63(1): 3–38.

See Also

cd, j.maad, lorenz.curve

Examples

## The Baker v. Carr Case: one-person-one-vote decision. 
## Measure of Relative Inequality of Population data in 33 districts 
## of the Tennessee Legislature in 1900 and 1972. See 
## popdata (see Gastwirth (1988)).
data(popdata)
gini.index(popdata[,"pop1900"])
gini.index(popdata[,"pop1972"])