THE SPILLOVERS OF CHARTER SCHOOLS ON NEIGHBORHOOD PUBLIC SCHOOLS: EVIDENCE FROM NEW YORK CITY SARAH CORDES IESP SUMMER SEMINAR JUNE 17, 2014 *FINDINGS PREPARED FOR IESP SUMMER SEMINAR, PLEASE DO NOT CITE WITHOUT PERMISSION OF THE AUTHOR 1 MOTIVATION Historically, neighborhood strongly liked to schooling: Levels of funding Teacher characteristics School quality Numerous reforms attempt to break this link: busing, school finance reform, magnet schools, charter schools Charter schools designed to address neighborhood school-quality link in at least two ways Offering students choice to attend schools outside their designated attendance zone Increasing performance in traditional public schools (TPSs) through competitive pressures Majority of public school students still education in TPSs, important to consider the spillovers of charter schools on these students 2 RESEARCH QUESTIONS Charter schools aimed at improving performance through competition, innovation, or both Opponents argue that charter schools sap funds, resources, and the best students from traditional public schools Given continuing expansion of charter schools, it is important to understand the effect of charter schools on traditional public school resources Spillovers of charters on neighborhood public schools are unclear a priori Positive or negative: if charters may draw students primarily from neighborhood schools No spillovers if: charters draw students from private schools or public schools students from other neighborhoods What spillover effects do charter schools have on neighborhood public schools? 3 CONTRIBUTION Most recent literature on charter schools focuses on the effects of charter schools on charter school students Long line of research examining effects of charter schools on public schools Either conducted at district-level or using a large radius around TPSs (2.5-10 miles) Problematic for identifying spillovers in an urban context to the extent that location and enrollment in charter schools reflect local neighborhood characteristics Prior literature does not fully account for endogenous charter school location within a city or district This paper: Uses better data and methods to address endogenous location of charter schools Examines spillovers at the neighborhood level where one might expect effects to be largest Explores mechanisms that might explain charter school impacts 4 RESEARCH QUESTIONS What are the spillover effects of charter schools on the outcomes of students attending nearby TPSs? What school-level mechanisms might explain these effects? 5 PREVIEW OF FINDINGS Charter schools increase performance of students attending nearby TPSs by 0.03 to 0.06 SDs in both ELA and math Impacts are larger among TPS students in schools that are co-located with charters Potential explanations for increased performance include lower pupil-teacher rations and increased per-pupil expenditures in TPSs located near to charter schools 6 ECONOMICS OF CHARTER SCHOOLS Consider a school-level production function Y represents educational outcomes including achievement and attainment Instruction, class size, etc. represent the level of specific inputs at a given school Charter school can affect student performance by: Changing the level of inputs Changing the value of the parameters (i.e. through changes in efficiency) 7 CHANGING INPUTS Changes in TPS student composition If charter schools systematically attract specific types of students from nearby public schools More advantaged students Students who are low-cost relative to peers but eligible for additional funds Higher achieving students Evidence: changes in TPS student characteristics after charter entry Changes in TPS resources Declining enrollments: teachers and categorical aid will be spread over fewer students Redistribution of teachers Evidence: changes in pupil-teacher ratios, per-pupil expenditures, or teacher characteristics after charter entry Changes in TPS parent characteristics Charter schools might attract more active or vocal parents Charter entry may affect the participation of parents remaining in TPSs Evidence: parent responses to student surveys 8 CHANGING EFFICIENCY TPSs may change practices in order to retain students Efficiency gains could be realized through: Changes in curricula Increased professional development Increased collaboration Evidence: teacher responses to NYC public school survey reporting variety of course offerings, participation in professional development, teacher collaboration, etc. 9 NEIGHBORHOOD MEASURES Distance between TPS and nearest charter school ½ or 1 mile radius of school Corresponds to walk distances in NYC 50 percent of charter school students attend school within ½ mile of residence and 75 percent attend within one mile Planned robustness checks: Vary size of radius from ¼ to 2 miles Census tract School zone Community district 10 WHERE DO CHARTER STUDENTS LIVE? 11 CHARTER SCHOOL EXPOSURE ANY charter school in the neighborhood Indicator equal to 1 in all years that there is a charter within a ½ or 1 mile radius of school Conducted as ITT: student is fixed in the first school he/she is observed attending Distance to nearest charter school Based on Euclidian distance between each public school and the closest charter school Added to baseline model of whether there is any charter school in the neighborhood As charter school is closer to public school expect greater impact 12 STUDENT-LEVEL OUTCOMES Performance on ELA and math exams Standardized to have mean 0 and standard deviation of 1 across all students in a given grade and year Outcome measures for future analysis Attendance Grade retention Probability of exit from NYC public school system 13 MECHANISMS Student composition Percent free lunch eligible, reduced price lunch eligible, recent immigrants, LEP, black, Hispanic, Asian School resources Per-pupil expenditures: total and instructional Pupil-teacher ratios Teacher characteristics: percentage of teachers with master’s degree and percentage of teachers with more than two years experience in current school Future work Responses from parent surveys on school satisfaction Responses from teacher surveys on course offerings, PD, etc. 14 IDENTIFICATION CHALLENGES Charter schools locate non-randomly throughout city Tend to locate in higher poverty neighborhoods Locate near less advantaged schools: lower percentages of teachers with master’s degrees, lower baseline test scores, higher percentages of poor students, etc. Simple cross-sectional model of the usual form will likely yield downwardly biased estimates of Solution: difference-in-difference approach 15 16 Table 1. Baseline Descriptive Statistics, Schools in Schools with and without Charter Schools within ½, 1, and 3 miles, AY 1998-1999 Within 1 Mile Within ½ Mile Never Charter Total Spending PP Ever Charter $11,331 $12,203 Instruc. Spending PP $5,983 $6,314 % Teachers with MA 81.2 73.8 % teachers w/ more than 2 years exp. in school 64.7 59.2 Pupil-teacher ratio 17.5 16.7 Enrollment per school 867 795 Reading z-score 0.11 -0.24 Math z-score 0.14 -0.26 71.5 86.7 8.0 3.3 Black 29.3 51.0 Hispanic 36.4 42.4 Asian 14.4 3.5 6.5 6.4 ESL 14.8 14.5 LEP 10.8 11.4 8.6 4.8 Number of Schools 406 220 Number of Students 352,195 174,988 Never Charter Within 3 Miles Ever Charter Never Charter Ever Charter $11,286 $11,902 $11,263 $11,675 $5,947 $6,214 $5,908 $6,118 83.3 75.1 84.6 78.0 65.7 60.6 68.5 62.2 17.6 16.9 17.6 17.2 839 844 746 852 0.23 -0.19 0.30 -0.04 0.27 -0.21 0.39 -0.04 65.1 85.6 55.9 78.9 9.2 4.2 9.9 6.0 23.4 47.0 17.0 38.9 31.8 43.5 26.7 39.7 17.8 5.1 24.8 9.1 6.7 6.3 6.8 6.4 13.9 15.3 13.1 14.9 9.8 12.0 9.2 11.2 9.4 5.7 8.5 7.1 269 357 57 569 225,785 301,398 42,515 484,668 Percent Free lunch Reduced lunch Special Ed. Recent Immigrant NOTES: “Never charter” schools are schools that never have a charter school within a given radius during the sample period. “Ever charter" schools are schools that are located within a given radius for at least one year of the sample period. Bold indicates that the differences between “never” and “ever” charter schools are significantly different at the 0.05 level. 17 MODEL 1 - BASELINE Y is a school or student outcome measure for student i, in school s, in neighborhood n, at time t POSTCS is an indicator equal to one in the period after a charter school opens in the neighborhood of school s δ are grade effects, φ are school effects, and µ are year effects is an error term with the usual properties Coefficient of interest is β, which captures the effect of charter schools TPS student performance Identified by variation in timing of charter entry Can be interpreted as causal if, conditional on student-level covariates, grade, school, and year effects, timing of charter school entry is random 18 MODEL 2 – DISTANCE TO NEAREST CHARTER CSDIST measures the distance to the nearest charter schools within that radius Coefficients of interest are β1 and β2, which capture the effect of charter schools TPS student performance Remaining concerns: Timing of charter entry is correlated with pre-existing trends in TPS student performance To address this, re-estimate models 1 and 2, adding non-parametric time trends: indicators for one, two, or three plus years before charter entry Same strategy employed by Figlio and Hart (2014) in analysis of competitive effects of vouchers on public school student performance 19 DATA NYCDOE Student-level administrative data on student demographics, program information, performance, and attendance School report cards (SRC): school-level information on enrollment, pupil-teacher ratios, and teacher characteristics School Based Expenditure Reports: school-level expenditure data Common Core of Data (CCD) Charter school opening year Latitude and longitude of all charter and public schools School level addresses – used to identify co-located schools 20 SAMPLE Students attending public elementary schools from AY 1996-97 to AY 2009-10 Elementary school defined as any TPS with a fourth grade Exclude: Middle schools and high schools because almost all charter during this time served elementary grades Staten Island – only one charter school in operation there during this time period Schools serving exclusively special education students Students with only one test score in ELA or math Final sample includes 626 unique schools serving 1,250,600 unique students 21 RESULTS – BASELINE MODEL Table 2: Effects of charter schools on public school students’ test scores, any charter within 1 mile, AY 1997-2010 Post charter w/n 1 mile Student Char. Lagged test scores School Effects Student Effects Observations R-squared (1) Math (2) (5) ELA (6) (3) (4) (7) (8) -0.227*** (0.009) -0.034*** (0.004) 0.017*** (0.004) -0.011** (0.005) -0.223*** (0.009) -0.043*** (0.004) 0.002 (0.004) -0.017*** (0.004) N N N N Y Y N N Y Y Y N Y N Y Y N N N N Y Y N N Y Y Y N Y N Y Y 2,797,449 2,797,449 2,797,449 2,797,449 2,669,382 2,669,382 2,669,382 2,669,382 0.041 0.469 0.480 0.833 0.039 0.416 0.429 0.807 Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1 Notes: Post charter is equal to 1 for a student in the period after the public school we first observe him/her attending is located within 1 mile of a charter school. All models contain controls for residence borough, grade, and year. Models in columns 2, 3, 5, and 6 contain controls for race, gender, free lunch eligibility, special education, LEP, recent immigrants, speaking a language other than English at home, and lagged test scores. Standard errors are clustered at the school-year level. 22 TPS STUDENT PERFORMANCE BY DISTANCE TO CHARTER Table 3: Effects of charter schools on public school students’ scores, any charter within 1 mile with pretrends, AY 1997-2010 Math Post charter w/n 1 mile ELA (1) (2) (3) (4) (5) (6) (7) (8) 0.029*** 0.065*** 0.028** -0.006 0.021** 0.062*** 0.006 -0.000 (0.011) (0.015) (0.014) (0.019) (0.010) (0.014) (0.013) (0.017) Dist. to charter Dist. to charter sq. -0.147*** 0.060 -0.141*** -0.017 (0.044) (0.052) (0.039) (0.046) 0.122*** -0.014 0.102*** 0.034 (0.041) (0.047) (0.037) (0.040) Lagged test scores Y Y N N Y Y N N Student FX N N Y Y N N Y Y 2,797,449 2,797,449 2,797,449 2,797,449 2,669,382 2,669,382 2,669,382 2,669,382 0.480 0.480 0.833 0.833 0.429 0.429 0.807 0.807 Observations R-squared Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1 Notes: Post charter within 1 mile is equal to 1 for a student in the period after the public school we first observe him/her attending is located within 1 mile of a charter school. Distance to charter is the distance (in miles) between a public school and the nearest charter school located within 1 mile. A negative coefficient on distance to charter indicates that the effect of charter schools is decreasing with distance, or conversely, that the effect increases with proximity. All models contain controls for free lunch eligibility, special education, LEP, recent immigrants, speaking a language other than English at home, residence borough, grade, year, school effects, and indicators for one, two, or three plus years23prior to charter entry. Models in columns 1, 2, 5, and 6 also include controls for race, gender, and lagged test scores. Standard errors are clustered at the school-year level. Table 4: Effects of co-located charter schools on public school students’ scores, AY 1997-2010 (1) Post co-located charter Post charter w/n ½ mile Post charter w/n 1 mile (3) (4) (5) ELA (6) (7) (8) 0.069*** (0.022) 0.015*** (0.006) 0.022* (0.011) 0.069*** (0.022) 0.028*** (0.010) 0.018 (0.020) -0.070 (0.047) 0.095** (0.042) -0.028 (0.021) 0.018* (0.010) 0.027 (0.026) 0.071*** (0.022) 0.027 (0.026) 0.018* (0.010) -0.026 (0.024) 0.063 (0.057) 0.007 (0.047) 0.066*** (0.024) 0.014*** (0.005) 0.013 (0.011) 0.066*** (0.024) 0.007 (0.009) 0.037** (0.019) -0.084* (0.043) 0.065* (0.037) -0.017 (0.020) 0.005 (0.009) 0.014 (0.023) 0.027 (0.019) 0.015 (0.023) 0.004 (0.009) -0.009 (0.022) -0.008 (0.051) 0.031 (0.041) 2,797,449 0.480 2,797,449 0.480 2,797,449 0.833 2,797,449 0.833 2,669,382 0.429 2,669,382 0.429 2,669,382 0.807 2,669,382 0.807 Dist. to charter Dist. to charter sq. Observations R-squared Math (2) Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1 Notes: Post charter within ½ mile is equal to 1 for a student in the period after the public school we first observe him/her attending is located within ½ mile of a charter school. Post char5er within 1 mile is measured analogously. Distance to charter is the distance (in miles) between a public school and the nearest charter school located within 1 mile. A negative coefficient on distance to charter indicates that the effect of charter schools is decreasing with distance, or conversely, that the effect increases with proximity. All models contain individuallevel controls for race, gender, free lunch eligibility, special education, LEP, recent immigrants, speaking a language other than English at home, lagged test scores, residence borough, grade, year, and school effects. All models also contain controls for one, two, or three plus years prior to charter entry. Standard errors are clustered at the school-year level. 24 Table 5: Effects of charter schools on public school characteristics, any charter within 1 mile with pretrends, AY 1997-2010 Dependent Variable: Enrollment SPED Enroll % Free lunch % Red. Lunch % SPED % LEP % Rec. Imm. Post charter w/n 1 mile -12.376 (16.504) -2.662 (3.409) -0.225 (0.755) -0.083 (0.316) 0.007 (0.005) 1.416*** (0.463) 0.406 (0.369) Post charter w/n ½ mile 4.990 -2.461 0.656 0.283 -0.001 -0.418 0.071 (9.075) -54.277*** (17.613) -27.954 (1.875) -15.159*** (3.639) 1.280 (0.415) 0.811 (0.805) -0.499 (0.174) 0.175 (0.337) -0.144 (0.003) 0.005 (0.006) 0.016*** (0.255) 0.228 (0.494) 0.475 (0.203) 0.908** (0.394) 0.914** (17.744) (3.666) (0.811) (0.340) (0.006) (0.498) (0.397) 9,113 0.912 9,113 0.825 9,113 0.974 9,113 0.908 9,113 0.986 9,113 0.938 9,113 0.836 Charter co-located Dist. to charter Observations R-squared Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1 Notes: Post charter within ½ mile is equal to 1 for a student in the period after the public school we first observe him/her attending is located within ½ mile of a charter school. Post char5er within 1 mile is measured analogously. Distance to charter is the distance (in miles) between a public school and the nearest charter school located within 1 mile. A negative coefficient on distance to charter indicates that the effect of charter schools is decreasing with distance, or conversely, that the effect increases with proximity. All models contain individuallevel controls for race, gender, free lunch eligibility, special education, LEP, recent immigrants, speaking a language other than English at home, lagged test scores, residence borough, grade, year, and school effects. All models also contain controls for one, two, or three plus years prior to charter entry. Standard errors are clustered at the school-year level. 25 Table 6: Effects of charter schools on public school resources, any charter within 1 mile with pre-trends, AY 1997-2010 Dependent Variable: % Teach w/ MA % Teach w/ 2+ years in school PTR Log pp total exp. Log pp instruct. exp. 2.888** -1.518 -1.598 0.031** 0.046*** (1.307) (1.774) (1.003) (0.014) (0.016) -1.495** -0.309 0.912* 0.011 0.005 (0.709) (0.961) (0.549) (0.008) (0.009) -2.473* -1.563 -0.436 0.061*** 0.061*** (1.393) (1.889) (1.136) (0.015) (0.017) 2.262 1.380 -2.498** 0.025* 0.049*** (1.386) (1.879) (1.069) (0.015) (0.017) Observations 8,948 8,906 8,235 8,972 8,972 R-squared 0.916 0.668 0.664 0.931 0.897 Post charter w/n 1 mile Post charter w/n ½ mile Charter co-located Dist. to charter Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1 Notes: Post charter within ½ mile is equal to 1 for a student in the period after the public school we first observe him/her attending is located within ½ mile of a charter school. Post char5er within 1 mile is measured analogously. Distance to charter is the distance (in miles) between a public school and the nearest charter school located within 1 mile. A negative coefficient on distance to charter indicates that the effect of charter schools is decreasing with distance, or conversely, that the effect increases with proximity. All models contain individuallevel controls for race, gender, free lunch eligibility, special education, LEP, recent immigrants, speaking a language other than English at home, lagged test scores, residence borough, grade, year, and school effects. All models also contain controls for one, two, or three plus 26 years prior to charter entry. Standard errors are clustered at the school-year level. SUMMARY OF RESULTS & NEXT STEPS Charter schools have small positive spillovers on public school performance in both math and ELA ranging from 0.021 to 0.065 SDs Positive spillovers on performance potentially explained by smaller class sizes and high per pupil expenditures Next steps Explore other outcomes: attendance, grade retention, exit from NYC public schools Re-estimate models limiting analysis to schools that have overlapping grade spans with nearby charter schools Use different neighborhood measures: census tracts, school zones, etc. Add parent and teacher survey data to explore additional mechanisms 27
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