Abstract
Despite policy relevance, longer-term evaluations of educational interventions are relatively rare. A common approach to this problem has been to rely on longitudinal research to determine targets for intervention by looking at the correlation between children’s early skills (e.g., preschool numeracy) and medium-term outcomes (e.g., first-grade math achievement). However, this approach has sometimes over—or under—predicted the long-term effects (e.g., 5th-grade math achievement) of successfully improving early math skills. Using a within-study comparison design, we assess various approaches to forecasting medium-term impacts of early math skill-building interventions. The most accurate forecasts were obtained when including comprehensive baseline controls and using a combination of conceptually proximal and distal short-term outcomes (in the nonexperimental longitudinal data). Researchers can use our approach to establish a set of designs and analyses to predict the impacts of their interventions up to 2 years post-treatment. The approach can also be applied to power analyses, model checking, and theory revisions to understand mechanisms contributing to medium-term outcomes.
Notes
1 Intervention designers may view impacts measured after two years of end-of-treatment as long-term impacts since the interventions were optimized to improve students’ outcomes for up to one-year after end-of-treatment. On the other hand, many proposed benefits of early math instruction relate to children’s longer-term outcomes. We find merit in both of these arguments and do not attempt a thorough critique of either of them here but see Bailey et al. (Citation2020) and commentary by Schneider and Bradford (Citation2020) for discussion of both views.
2 We would like to thank an anonymous reviewer for their suggestions for how to word this section, which substantially improved its clarity.
3 We thank an anonymous reviewer for the idea to pursue this as a future direction.