Figure 5: Predict mathematics and reading achievement for non-reassigned students by the proportion of students reassigned into and out of school.

Note: Data are drawn from WCPSS administrative records. Math and reading achievement data are available for students in grades 3–8. Effect on Non-reassigned Students in Receiving Schools is estimated as $\left(\lambda p_{\mathit{\text{ist}},k=0}^{\mathit{\text{in}}}\right)$ in Equation (1); see Equation (2) for more detail on this variable’s construction. Effect on Non-reassigned Students in Contributing Schools is estimated as $\left(\lambda p_{\mathit{\text{ist}},k=0}^{\mathit{\text{out}}}\right)$ in Equation (2); see Equation (3) for more detail on this variable’s construction. Both spillover variables are scaled such that a 1 unit shift represents a 10 percentage point shift in the proportion of reassigned students. All models include controls for student race/ethnicity, gender, special education, and ELL status, effects of reassignment event history, node-by-grade fixed effects, year fixed effects.