Table 4: Cognitive Outcomes

||Math|Raven’s|Forward|Picture<br>Recog-|Family index|
|---|---|---|---|---|---|
||||Digit Span|nition<br>Vocabu-<br>lary Test||
||(1)|(2)|(3)|(4)|(5)|
|**Panel A. Merit**||||||
|Treatment|0.0670<br>|0.155**<br>|0.0700<br>|0.0200<br>|0.113*<br>|
||(0.075)|(0.066)|(0.065)|(0.073)|(0.068)|
|Observations|814|814|813|814|813|
|R-squared|0.189|0.180|0.0930|0.293|0.225|
|F-statistic|6.130|6.670|2.350|11.02|8.710|
|Covariates|Yes|Yes|Yes|Yes|Yes|
|Control mean|0.0800|0.0700|-0.0100|0.100|0.0700|
|Joint signifcance: Ho: all coef. =0||||||
|Chi-square||||0.861||
|p-value||||0.353||
|**Panel B. Poverty**||||||
|Treatment|0.0860|0.0520|-0.129*|0.0600|0.00500|
||(0.064)|(0.080)|(0.070)|(0.081)|(0.072)|
|Observations|753|753|752|753|752|
|R-squared|0.150|0.156|0.114|0.279|0.196|
|F-statistic|6.610|7.370|3.450|4.780|4.190|
|Covariates|Yes|Yes|Yes|Yes|Yes|
|Control mean|-0.0600|-0.0300|0.0400|-0.0400|-0.0300|
|Joint signifcance: Ho: all coef. =0||||||
|Chi-square||||1.938||
|p-value||||0.164||
|**Joint test: Poverty vs. Merit**||||||
|Chi-square|0.0530|1.304|6.455|0.195|1.812|
|D<br>p-value<br>Notes: Estimated treatment efects. The <br>uted using Item Response Theory (IRT) <br> the score on the Raven’s matrices test <br>he standardized score on the digit span t<br> Picture Recognition Vocabulary Test co<br>ovariance matrix-weighted mean of the st<br>ressions control for district fxed efects, b<br> school-level (EMIS) variables and 5 cens<br>or the merit scholarship (Treatment=1, 0 <br> otherwise). Robust standard errors are i<br>ance Chi-square (and corresponding p-val|0.818<br> dependent variabl<br> with a two param<br>computed using I<br>est using forward <br>mputed using IRT <br>andardized depend<br>aseline test score,<br>us village-level va<br> otherwise) and P<br>n parentheses (clu<br>ue below) is a res|0.254<br>e in column (1) is<br>eter logistic (2PL)<br>RT with a 2PL m<br>items only, standa<br> with a 2PL mode<br>ent variables from<br> baseline poverty <br>riables, measured <br>anel B respondents<br>stered at the scho<br>ult of testing for t|0.0110<br> the score on the m<br> model, standardiz<br>odel, standardized. <br>rdized. In column <br>l, standardized. In <br>the four previous c<br>score, individual-le<br> at baseline. Panel <br> who were eligible <br>ol level). *** p<0.<br>he coefcients of in|0.659<br>athematics computer <br>ed. In column (2), the<br> In column (3), the d<br>(4), the dependent var<br>column (5), the family<br>olumns following And<br>vel socio-economic var<br> A includes responden<br>for the poverty scholar<br>01, ** p<0.05, * p<0<br>dividuals regressions b|0.178<br> adaptive test, co<br> dependent varia<br>ependent variable<br>iable is the score <br> index is the inve<br>erson (2008). All<br>iables from baseli<br>ts who were eligi<br>ship (Treatment=<br>.1. The joint sign<br>eing jointly equal|

Notes: Estimated treatment effects. The dependent variable in column (1) is the score on the mathematics computer adaptive test, computed using Item Response Theory (IRT) with a two parameter logistic (2PL) model, standardized. In column (2), the dependent variable is the score on the Raven’s matrices test computed using IRT with a 2PL model, standardized. In column (3), the dependent variable is the standardized score on the digit span test using forward items only, standardized. In column (4), the dependent variable is the score on a Picture Recognition Vocabulary Test computed using IRT with a 2PL model, standardized. In column (5), the family index is the inverse covariance matrix-weighted mean of the standardized dependent variables from the four previous columns following Anderson (2008). All regressions control for district fixed effects, baseline test score, baseline poverty score, individual-level socio-economic variables from baseline, 6 school-level (EMIS) variables and 5 census village-level variables, measured at baseline. Panel A includes respondents who were eligible for the merit scholarship (Treatment=1, 0 otherwise) and Panel B respondents who were eligible for the poverty scholarship (Treatment=1, 0 otherwise). Robust standard errors are in parentheses (clustered at the school level). *** p<0.01, ** p<0.05, * p<0.1. The joint significance Chi-square (and corresponding p-value below) is a result of testing for the coefficients of individuals regressions being jointly equal to 0, using seemingly unrelated estimation. The poverty vs. merit Chi-square (and corresponding p-value below) is a result of testing for the coefficient of the merit sample and the coefficient of the poverty sample being equal.

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