Hoover {wINEQ}

Hoover index

Description

Computes Hoover inequality measure of a given variable taking into account weights.

Usage

Hoover(X, W = rep(1, length(X)))

Arguments

X

is a data vector

W

is a vector of weights

Details

Let x_i be the income of the i-th person and \overline{x} be the mean income. Then the Hoover index H is:

H={\frac {1}{2}}{\frac {\sum_{i}|x_{i}-{\overline{x}}|}{\sum_{i}x_{i}}}

Value

The value of Hoover coefficient.

References

Hoover E. M. Jr.: (1936) The Measurement of Industrial Localization, The Review of Economics and Statistics, 18

Hoover E. M. Jr.: (1984) An Introduction to Regional Economics, ISBN 0-07-554440-7

Examples

# Compare weighted and unweighted result
X=1:10
W=1:10
Hoover(X)
Hoover(X,W)

data(Tourism)
#Hoover index for Total expenditure with sample weights
X=Tourism$`Total expenditure`
W=Tourism$`Sample weight`
Hoover(X,W)