gini | R Documentation |
The function gini()
calculates the Gini Index associated to the variable var
.
gini(var)
var |
a vector of numerical values of size n |
Let x_k
, k=1,...,K be the distinct values taken by var
.
For each site, Gini.r returns two pairs of frequencies. The pair (f
,g
) where f represents
f_k=\frac{1}{n}\sum_i 1(Var_i=x_k)
(n is the length of var
) and g represents
g_k=\frac{x_k}{\bar{x}}f_k
The pair (F,G) represents the corresponding cumulative frequencies.
The Gini Index is calculated as :
I_G=\frac{1}{2\bar{x}}\sum_{i=1}^K\sum_{j=1}^K|x_i-x_j|
(f, F, g, G, gini) where f, F, g and G are vectors of size K and gini a numeric value.
This function is used in ginimap.R but it is not an interactive function.
Thomas-Agnan C., Aragon Y., Ruiz-Gazen A., Laurent T., Robidou L.
Thibault Laurent, Anne Ruiz-Gazen, Christine Thomas-Agnan (2012), GeoXp: An R Package for Exploratory Spatial Data Analysis. Journal of Statistical Software, 47(2), 1-23.
ginimap
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