What the evidence says
The clearest empirical signal in these sources is a null result on test scores. In Chile, comparing municipalities where private school voucher enrollment expanded rapidly against municipalities where it stayed flat, panel/difference-in-differences analysis found no measured effect on test score growth: regression coefficients ranged from approximately −0.05 to +0.08 standard deviations and were not statistically significant. The same study reports this null result held across four alternative measures of school competition, and found that parental education was sufficient to explain most of the observed test score growth in the sample — meaning the growth that did occur is attributed to a factor other than voucher-driven competition, not to the voucher expansion itself.
The same Chilean panel/DiD study also tested whether voucher-driven school competition narrowed test score inequality between high- and low-income students, on the theory that expanded choice should let lower-income students access higher-performing schools. It found little association between changes in school competition and changes in test score inequality on its primary voucher-share measure. It also examined three other competition measures; on those, it found significant effects in the opposite direction from what would be expected if choice reduced inequality — that is, in the direction of increased test score inequality.
A separate line of evidence, an interpretive historical study of multiple school choice reforms (including vouchers) affecting black students in the United States, reaches a compatible conclusion through an entirely different method: it finds no significant increase in academic performance for the majority of black children, and specifically not for children from low-income families, across the reforms it examines collectively. This study does not isolate the voucher component from the other reforms it reviews, and its method is interpretive historical analysis rather than a quasi-experimental design, so it carries lower confidence in both direction and magnitude than the Chilean panel study.
Across these three claims, no source reports a positive effect of voucher expansion on test scores or on narrowing income-based achievement gaps. The sources are silent on other outcomes commonly discussed alongside vouchers — there is no claim here about educational attainment (graduation, college enrollment), parental or student satisfaction, effects on the public schools students leave behind, or program cost. Those are simply absent from the evidence assembled on this page.