Estimating Heterogeneous Treatment Effects of Early Childhood Interventions on Fifth-Grade Math Achievement: A Machine Learning-Augmented Causal Analysis of ECLS-K:2011
The study focuses on identifying and distinguishing whether there are differences between those students receiving special education services later compared to their general-education peers entering kindergarten, in terms of early-childhood characteristics, and examines the long-term implications for fifth-grade mathematics achievement. Drawing on the nationally representative Early Childhood Longitudinal Study, Kindergarten Class of 2010-11 (ECLS-K:2011), we first quantify baseline differences across domains—demographic, academic, family, school composition, health, and behavioral by using standardized mean differences. Next, we apply approaches of machine learning to augment causal inference methods, including Bayesian Additive Regression Trees (BART), Targeted Maximum Likelihood Estimation (TMLE), and Causal Random Forests (CRF), to estimate heterogeneous treatment effects of early supports and interventions. Our analysis reveals that early math and reading proficiency, self-regulation skills, and socioeconomic indicators are among the strongest predictors of special-education placement. We demonstrate that CRF, in particular, excels at uncovering complex, nonlinear relationships and subgroup-specific impacts, enabling precise estimation of how different combinations of behavioral and family-centered strategies influence high-risk children’s outcomes. By integrating these advanced methods with the rich structure of ECLS-K:2011, we extend beyond descriptive profiling to evaluate the effectiveness of policy levers, such as early screening protocols, targeted classroom accommodations, and family outreach programs, on narrowing achievement gaps. The findings can provide educators, policymakers, and practitioners with specific information about efficient utilization of allocated funds and design suitable interventions to improve educational outcomes for all children.
References
[1]
National Center for Education Statistics (2016) Early Childhood Longitudinal Study, Kindergarten Class of 2010-11 (ECLS-K:2011). U.S. Department of Education, Institute of Education Sciences.
Pearl, J. (2009) Causality: Models, Reasoning, and Inference. 2nd Edition, Cambridge University Press. https://doi.org/10.1017/cbo9780511803161
[4]
Rubin, D.B. (1974) Estimating Causal Effects of Treatments in Randomized and Nonrandomized Studies. JournalofEducationalPsychology, 66, 688-701. https://doi.org/10.1037/h0037350
[5]
Lalonde, R.J. (1986) Evaluating the Econometric Evaluations of Training Programs with Experimental Data. The American Economic Review, 76, 604-620.
[6]
Rosenbaum, P.R. and Rubin, D.B. (1983) The Central Role of the Propensity Score in Observational Studies for Causal Effects. Biometrika, 70, 41-55. https://doi.org/10.1093/biomet/70.1.41
[7]
Dehejia, R.H. and Wahba, S. (1999) Causal Effects in Nonexperimental Studies: Reevaluating the Evaluation of Training Programs. Journal of the American StatisticalAssociation, 94, 1053-1062. https://doi.org/10.1080/01621459.1999.10473858
[8]
Hirano, K., Imbens, G.W. and Ridder, G. (2003) Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score. Econometrica, 71, 1161-1189. https://doi.org/10.1111/1468-0262.00442
[9]
Austin, P.C. (2011) An Introduction to Propensity Score Methods for Reducing the Effects of Confounding in Observational Studies. MultivariateBehavioralResearch, 46, 399-424. https://doi.org/10.1080/00273171.2011.568786
[10]
Athey, S. and Imbens, G. (2016) Recursive Partitioning for Heterogeneous Causal Effects. ProceedingsoftheNationalAcademyofSciences, 113, 7353-7360. https://doi.org/10.1073/pnas.1510489113
[11]
Varian, H.R. (2016) Causal Inference in Economics and Marketing. Proceedings of the National Academy of Sciences of the United States of America, 113, 7310-7315. https://doi.org/10.1073/pnas.1510479113
[12]
Keller, B. and Tipton, E. (2016) Propensity Score Analysis in R: A Software Review. JournalofEducationalandBehavioralStatistics, 41, 326-348. https://doi.org/10.3102/1076998616631744
[13]
McConnell, K.J. and Lindner, S. (2019) Estimating Treatment Effects with Machine Learning. HealthServicesResearch, 54, 1273-1282. https://doi.org/10.1111/1475-6773.13212
Athey, S. and Wager, S. (2019) Estimating Treatment Effects with Causal Forests: An Application. ObservationalStudies, 5, 37-51. https://doi.org/10.1353/obs.2019.0001
[16]
Chesnaye, N.C., Stel, V.S., Tripepi, G., Dekker, F.W., Fu, E.L., Zoccali, C., et al. (2021) An Introduction to Inverse Probability of Treatment Weighting in Observational Research. ClinicalKidneyJournal, 15, 14-20. https://doi.org/10.1093/ckj/sfab158
[17]
Morgan, P.L., Frisco, M.L., Farkas, G. and Hibel, J. (2008) A Propensity Score Matching Analysis of the Effects of Special Education Services. TheJournalofSpecialEducation, 43, 236-254. https://doi.org/10.1177/0022466908323007
[18]
Harry, B. and Klingner, J. (2006) Why Are So Many Minority Students in Special Education? Teachers College Press.