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