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

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duetoaproblemofweakinstruments. For this reason columns (4) to (6) display<br />

the results of the system GMM estimator. The results show that using<br />

the variables in differences to instrument an additional level equation changes<br />

the estimated coefficients. In particular, the coefficient of the income Gini in<strong>de</strong>x<br />

continues being positive although it is not statistically significant at the<br />

standard levels. In addition, the coefficient of the initial per capita income is<br />

reduced significantly and the coefficients of the average years of schooling are<br />

now statistically significant. With regard to education inequality, the human<br />

capital Gini in<strong>de</strong>x continues having a negative and statistically significant effect<br />

on growth.<br />

The consistency of the first differences and system GMM estimators <strong>de</strong>pends<br />

on two i<strong>de</strong>ntifying assumptions. The first one states the absence of second or<strong>de</strong>r<br />

serial correlation. The second one regards with the validity of the istruments.<br />

We examine the first assumption testing the hypothesis that the differenced<br />

error term is not second-or<strong>de</strong>r serially correlated. The second assumption is<br />

analysed through the Sargan test of over-i<strong>de</strong>ntifying restrictions, which test the<br />

null hypothesis of validity of the instruments. The p-values shown in Table 4<br />

give support to the i<strong>de</strong>ntifying assumptions since in all cases we do not reject<br />

the null hypothesis.<br />

Overall, the results suggest that the effect of income inequality on the growth<br />

rates <strong>de</strong>pends to some extent on the technique used to estimate the mo<strong>de</strong>l.<br />

Whereas cross-section and pool regressions show a negative relationship between<br />

income inequality and growth, controlling for fixed effects displays a positive effect<br />

on the growth rate within a country from an increase in income inequality<br />

in that country. However, the negative relationship between human capital inequality<br />

and economic growth appears to be extremely robust to the estimation<br />

of different mo<strong>de</strong>ls. In particular, the negative effect on growth from human<br />

capital inequality is found not only in cross-section regressions but also in the<br />

estimation of a dynamic panel data mo<strong>de</strong>l that controls for country-specific<br />

effects.<br />

4 Human capital and economic growth: broa<strong>de</strong>r<br />

sample<br />

One of the main criticisms to Forbes’ (2000) study is that the results may suffer<br />

from sample selection bias due to the restrictive number of countries for which<br />

there are data on income inequality. In addition to measurement error problem,<br />

one of the main shortcomings with income inequality data measures is that the<br />

least <strong>de</strong>veloped countries are un<strong>de</strong>rrepresented. For example, in Forbes’ sample<br />

almost half of the countries are OECD countries and there are no data for<br />

any Sub-Saharan African country. Although we have exten<strong>de</strong>d Forbes’ sample<br />

and, therefore, improved in some sense that shortcoming, some regions such us<br />

18

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