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Ten-Year Impacts of Burkina Faso’s BRIGHT Program

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APPENDIX B<br />

MATHEMATICA POLICY RESEARCH<br />

since the last survey, differential migration could result in the emergence <strong>of</strong> discontinuities in<br />

household or child characteristics.<br />

To provide evidence on the continued reasonability <strong>of</strong> the continuity assumptions, Table B.2<br />

provides the estimated discontinuities for the socio-demographic characteristics from our current<br />

survey using equation (A.1) without the socio-demographic controls. 55 All <strong>of</strong> the 16 child,<br />

household, and household head-level characteristics are practically small and only 5 are<br />

statistically significant at conventional levels. 56 These estimates suggest that the assignment rule<br />

was, in fact, successful in creating exogenous variation in treatment assignment.<br />

55<br />

The estimates include department fixed effects.<br />

56<br />

A joint test <strong>of</strong> all <strong>of</strong> the discontinuities using seemingly unrelated regressions yields a Chi-square statistic <strong>of</strong> 23.07<br />

with a p-value <strong>of</strong> 0.1120, meaning that the differences at discontinuities are not different from zero. However,<br />

estimates <strong>of</strong> the bias due to these small differences suggest that these differences would have a net effect <strong>of</strong> 0.2<br />

percentage points on the estimates treatment effect on enrollment and 0.013 standard deviations on test scores.<br />

These are negligible given the magnitude <strong>of</strong> the observed effects.<br />

B.5

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