Help - Gini's Coefficient

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From: puneetgupta13@gmail.com on 13 Jun 2006 04:33

---

Hi,
Can anyone suggest me the algorithm to calculate the Gini's
Coefficient? I want to code the algorithm in SAS and want to plot the
Lorenz curve. So that Gini's Coefficient can be calculated.
Thanks in Advacne
Regards,
Puneet

From: Dirk Nachbar on 13 Jun 2006 05:11

---

Puneet

try this program

/************************************************************************
Gini macro

The Gini coefficient is often calculated with the more practical Brown Formula
shown below:

G = | 1 - \sum_{k=1}^{n} (X_{k} - X_{k-1}) (Y_{k} + Y_{k-1}) |

G: Gini coefficient
X_k: cumulated proportion of the population variable, for k =
0,...,n, with X₀ = 0, X_n = 1<br>
Y_k: cumulated proportion of the income variable, for k = 0,...,n,
with Y₀ = 0, Y_n = 1<br>

Source: en.wikipedia.org
***************************************************************************/

options mprint mlogic;
%macro gini(data=,var=,out=all);
data &out;
data gini;
set &data;
where &var>=0;
run;

proc sort data=gini; by &var; run;

data gini (keep= &var &time id cumpay);
set gini;
id=_n_;
retain cumpay 0;
cumpay+&var;
run;

proc summary data=gini;
var id cumpay;
output out=max (drop=_type_ _freq_) max=;
run;

data _null_;
set max;
call symput('gdp',cumpay);
call symput('people',id);
run;

data gini;
set gini;
xk=cumpay/&gdp;
yk=id/&people;
xkk=xk-lag(xk);
ykk=yk+lag(yk);
gini=xkk*ykk;
run;

proc summary data=gini;
var gini;
output out=g (drop=_type_ _freq_) sum=;
run;

data &out;
set g;
gini=abs(1-gini);
run;
%mend;

Dirk Nachbar
Assistant Economist
Pensim2
Department for Work and Pensions
Level 4, The Adelphi
1-11 John Adam St
WC2N 6HT London
020 796 28531



puneetgupta13(a)GMAIL.COM
13/06/2006 09:45

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Subject
Help - Gini's Coefficient






Hi,
Can anyone suggest me the algorithm to calculate the Gini's
Coefficient? I want to code the algorithm in SAS and want to plot the
Lorenz curve. So that Gini's Coefficient can be calculated.
Thanks in Advacne
Regards,
Puneet

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From: Andre Wielki on 13 Jun 2006 07:31

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see at
http://www.sprc.unsw.edu.au/tatlib/gini.sas
http://www.sprc.unsw.edu.au/tatlib/ginic.sas
http://www.public.iastate.edu/~pdixon/sas/bootgini.sas

but also
gini and lorenz
at
http://jacquot.ensae.net/Lorenz.html

hth
Andre

puneetgupta13(a)gmail.com a ?crit :
> Hi,
> Can anyone suggest me the algorithm to calculate the Gini's
> Coefficient? I want to code the algorithm in SAS and want to plot the
> Lorenz curve. So that Gini's Coefficient can be calculated.
> Thanks in Advacne
> Regards,
> Puneet
>
>


--
Andre Wielki
INED (Institut National d'Etudes D?mographiques)
133 Boulevard Davout 75980 Paris Cedex 20
33 (0) 1 56 06 21 54 FRANCE

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