Example of the Lorenz Curve
Consider the following table:
Adjusted Lorenz Cure for Premature Mortality Using
Urban Income Quintile (Fiscal Years: 2004-2007)
cal_yrs
5: 2004‐2007
5: 2004‐2007
5: 2004‐2007
5: 2004‐2007
5: 2004‐2007
chquint
crude_nu crude_de
m
nom
U1
U2
U3
U4
U5
2566
1726
1571
1273
1014
514408
523465
524817
537436
539752
2639878
(points for x‐axis)
(points for y‐axix)
crude_cu
adjust_cu
percent_ m_perce
adjust_n
adj_rate
m_perce
denom nt_deno
um
nt_num
m
0.19486 0.19486 5.30749 2730.21 0.33415
0.19829 0.39315 3.35153 1754.41 0.54887
0.1988 0.59196 2.79607 1467.42 0.72847
0.20358 0.79554 2.27631 1223.37 0.87819
0.20446
1 1.84388
995.24
1
8170.65
Here we see that U1 (lowest urban neighbourhood income quintile representing 19.5% of the population)
accounts for 33.4% of all premature deaths.
Adjusted Lorenz Curve for Premature Mortality in Urban Areas for 2004-2007
Adjusted by (2004-2007) age & sex, residents aged 0-74
100%
100.0%
Cumulative Percent of Premature Deaths
87.8%
80%
72.8%
60%
54.9%
40%
33.4%
20%
GINI = 0.205 (95% CI 0.192, 0.218)
0%
19.5%
U1
39.3%
U2
59.2%
U3
79.6%
U4
100%
U5
Cumulative Percent of the Population
Lorenz Curve
Line of Equality
Source: Martens P, Brownell M, Au W, MacWiliam L, Prior H, Schultz J, Guenette W, Elliott
L, Buchan S, Anderson M, Caetano P, Metge C, Santos R, Serwonka K. Health Inequities in
Manitoba: Is the Socioeconomic Gap in Health Widening or Narrowing Over Time? Winnipeg,
MB: Manitoba Centre for Health Policy, 2010.