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Amparo Castelló-Climent, Universidad Carlos III de Madrid ... - Ivie

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6 Appendix<br />

I- Computation of the human capital Gini coefficient<br />

The human capital Gini coefficient is computed using data on the average<br />

schooling years and the attainment levels provi<strong>de</strong>d by Barro and Lee (2001).<br />

The formula to compute the Gini coefficient is:<br />

G h = 1<br />

2H<br />

S<br />

h=1 l=1<br />

S<br />

|x h − x l | n h n l (A- 1)<br />

where H is the average schooling years in the total population, x h is cumulative<br />

average schooling years of each educational level, and n h is the share of<br />

population aged 15 and over with the level h as the the highest educational attainment<br />

level. Expanding expression (A- 1), the Gini coefficient can be written<br />

as follows:<br />

G h = n 0 + n 1x 2 (n 2 + n 3 )+n 3 x 3 (n 1 + n 2 )<br />

n 1 x 1 + n 2 x 2 + n 3 x 3<br />

(A- 2)<br />

31

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