Pen

0th

Percentile

Pen's Parade

plots Pen's Parade of a vector x

Keywords
hplot
Usage
Pen(x, n = rep(1, length(x)), group = NULL, scaled = TRUE, abline = TRUE, add = FALSE, segments = NULL, main = "Pen's Parade", ylab = NULL, xlab = NULL, col = NULL, lwd = NULL, las = 1, fill = NULL, ...)
Arguments
x
a vector containing non-negative elements.
n
a vector of frequencies or weights, must be same length as x.
group
a factor coding different groups, must be same length as x. See also details.
scaled
logical. Should Pen's parade be divided by mean(x)?
abline
logical. Should a horizontal line for the mean be drawn?
add
logical. Should the plot be added to an existing plot?
segments
logical. Should histogram-like segments be drawn?
col
a (vector of) color(s) for drawing the curve.
fill
a (vector of) color(s) for filling the area under the curve.
xlab,ylab
axis labels. Suitable defaults depending on scaled and n are chosen.
main, lwd, las, ...
further high-level plot parameters.
Details

Pen's Parade is basically the inverse distribution function (standardized by mean(x)).

Pen allows for fine control of the layout---the graphical parameters col and fill can be vectorized if histogram-like segments are drawn (segments = TRUE)---but implements several heuristics in choosing its default plotting parameters. If a grouping factor group is given, the default is to draw segments with a grey-shaded filling. If no fill color is used, the default is to draw a thick blue curve. But as all of these are just defaults, they can of course easily be changed. See also the examples.

References

F A Cowell: Measurement of Inequality, 2000, in A B Atkinson / F Bourguignon (Eds): Handbook of Income Distribution, Amsterdam,

F A Cowell: Measuring Inequality, 1995 Prentice Hall/Harvester Wheatshef,

J Pen: Income Distribution, 1971, Harmondsworth: Allen Lane.

See Also

Lc, plot.Lc

Aliases
  • Pen
Examples
# load and attach Philippine income data
data(Ilocos)
attach(Ilocos)
# plot Pen's Parade of income
Pen(income)
Pen(income, fill = hsv(0.1, 0.3, 1))

# income distribution of the USA in 1968 (in 10 classes)
# x vector of class means, n vector of class frequencies
x <- c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261)
n <- c(482, 825, 722, 690, 661, 760, 745, 2140, 1911, 1024)
Pen(x, n = n)
# create artificial grouping variable
myfac <- factor(c(1, 1, 1, 2, 2, 2, 3, 3, 3, 3))
Pen(x, n = n, group = myfac)
Documentation reproduced from package ineq, version 0.2-13, License: GPL-2 | GPL-3

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