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Analyses that reveal how treatment effects vary allow researchers, practitioners, and policymakers to better understand the efficacy of educational interventions. In practice, however, standard statistical methods for addressing Heterogeneous Treatment Effects (HTE) fail to address the HTE that may exist within outcome measures. In this study, we present a novel application of the Explanatory Item Response Model (EIRM) for assessing what we term “item-level” HTE (IL-HTE), in which a unique treatment effect is estimated for each item in an assessment. Results from data simulation reveal that when IL-HTE are present but ignored in the model, standard errors can be underestimated and false positive rates can increase. We then apply the EIRM to assess the impact of a literacy intervention focused on promoting transfer in reading comprehension on a digital formative assessment delivered online to approximately 8,000 third-grade students. We demonstrate that allowing for IL-HTE can reveal treatment effects at the item-level masked by a null average treatment effect, and the EIRM can thus provide fine-grained information for researchers and policymakers on the potentially heterogeneous causal effects of educational interventions.
What happens when employers would like to screen their employees but only observe a subset of output? We specify a model in which heterogeneous employees respond by producing more of the observed output at the expense of the unobserved output. Though this substitution distorts output in the short-term, we derive three sufficient conditions under which the heterogenous response improves screening efficiency: 1) all employees place similar value on staying in their current role; 2) the employees' utility functions satisfy a variation of the traditional single-crossing condition; 3) employer and worker preferences over output are similar. We then assess these predictions empirically by studying a change to teacher tenure policy in New York City, which increased the role that a single measure -- test score value-added -- played in tenure decisions. We show that in response to the policy teachers increased test score value-added and decreased output that did not enter the tenure decision. The increase in test score value-added was largest for the teachers with more ability to improve students' untargeted outcomes, increasing their likelihood of getting tenure. We find that the endogenous response to the policy announcement reduced the screening efficiency gap -- defined as the reduction of screening efficiency stemming from the partial observability of output -- by 28%, effectively shifting some of the cost of partial observability from the post-tenure period to the pre-tenure period.
Performance-based funding models for higher education, which tie state support for institutions to performance on student outcomes, have proliferated in recent decades. Some states have designed these policies to also address educational attainment gaps by including bonus payments for traditionally low-performing groups. Using a Synthetic Control Method research design, we examine the impact of these funding regimes on race-based completion gaps in Tennessee and Ohio. We find no evidence that performance-based funding narrowed race-based completion gaps. In fact, contrary to their intended purpose, we find that performance-based funding widened existing gaps in certificate completion in Tennessee. Across both states, the estimated impacts on associate degree outcomes are also directionally consistent with performance-based funding exacerbating racial inequities in associate degree attainment.
Financing college expenses through an income share agreement (ISA) is an arrangement where the student agrees to pay a fixed percentage of future earned income for a designated period of time in exchange for college funding. Using administrative and survey data for all eligible applicants to a university ISA program, I estimate the adverse selection into the ISA and provide preliminary estimates of the moral hazard for ISA participants. Identification of adverse selection comes from being able to observe the full set of eligible students who apply to the program. There is evidence of selection on the offered income share rate (which is determined by the student’s major) as well as on parent characteristics, though not parent income. Surprisingly, there is no evidence of adverse selection on student ability as measured by SAT score and college grades. I find no differential selection on other student characteristics including demographics and measures of debt aversion, risk aversion, and time preference. Controlling for observable factors, ISA participation increases the likelihood of college graduation by 3 percentage points and decreases starting salary by $5,000 on average.
In this descriptive study, we use longitudinal student-level administrative records from 4 cohorts of high school graduates in Kentucky to examine the extent to which students persist and attain post-secondary credentials in the CTE fields of concentration they choose in high school. To our knowledge, this is the first paper to use student-level administrative data to examine how different fields of concentration in high school CTE are related to future postsecondary outcomes. We find that concentrating in a particular CTE field in high school is associated with both continuing on with that same field in college and obtaining a postsecondary credential in that field; this relationship is especially strong in health fields and especially for women in health. The secondary-postsecondary connection is the weakest among students concentrating in occupational fields in high school, who are also the most disadvantaged socioeconomically and academically before high school. Despite the existence of secondary-postsecondary pipelines of career interests, most students enroll and obtain credentials in fields that are different from the field of concentration in high school. In addition, relative to students with similar pre-high-school achievement as measured by grades and test scores, we find that CTE concentration in high school is strongly associated with being more likely to enroll in a two-year college and less likely to enroll in a four-year college.
Prior work on teacher candidates in Washington State has shown that about two thirds of individuals who trained to become teachers between 2005 and 2015 and received a teaching credential did not enter the state’s public teaching workforce immediately after graduation, while about one third never entered a public teaching job in the state at all. In this analysis, we link data on these teacher candidates to unemployment insurance data in the state to provide a descriptive portrait of the future earnings and wages of these individuals inside and outside of public schools. Candidates who initially became public school teachers earned considerably more, on average, than candidates who were initially employed either in other education positions or in other sectors of the state’s workforce. These differences persisted at least 10 years into the average career and across transitions into and out of teaching. There is therefore little evidence that teacher candidates who did not become teachers were lured into other professions by higher compensation. Instead, the patterns are consistent with demand-side constraints on teacher hiring during this time period that resulted in individuals who wanted to become teachers taking positions that offered lower wages but could lead to future teaching positions.
We present new estimates of the importance of teachers in early grades for later grade outcomes, but unlike the existing literature that examines teacher “fade-out,” we directly compare the contribution of early-grade teachers to later year outcomes against the contributions of later year teachers to the same later year outcomes. Where the prior literature finds that much of the contribution of early teachers fades away, we find that the contributions of early-year teachers remain important in later grades. The difference in contributions to eighth-grade outcomes between an effective and ineffective fourth-grade teacher is about half the difference among eighth-grade teachers. The effect on eighth-grade outcomes of replacing a fourth-grade teacher who is below the 5th percentile with a median teacher is about half the underrepresented minority (URM)/non-URM achievement gap. Our results reinforce earlier conclusions in the literature that teachers in all grades are important for student achievement.
While a growing body of literature has documented the negative impacts of exclusionary punishments, such as suspensions, on academic outcomes, less is known about how teachers vary in disciplinary behaviors and the attendant impacts on students. We use administrative data from North Carolina elementary schools to examine the extent to which teachers vary in their use of referrals and investigate the impact of more punitive teachers on student attendance and achievement. We also estimate the effect of teachers' racial bias in the use of referrals on student outcomes. We find more punitive teachers increase student absenteeism and reduce student achievement. Moreover, more punitive teachers negatively affect the achievement of students who do not receive disciplinary sanctions from the teacher. Similarly, while teachers with racial bias in the use of referrals do not negatively affect academic outcomes for White students, they significantly increase absenteeism and reduce achievement for Black students. We find the negative effects of both more punitive and more biased teachers persist into middle school and beyond. The results suggest punitive disciplinary measures do not aid teachers in productively managing classrooms; rather, teachers taking more punitive stances may undermine student engagement and learning in both the short- and long-run. Furthermore, bias in teachers' referral usage contributes to inequities in student outcomes.
High rates of teacher turnover in child care settings have negative implications for young children’s learning experiences and for efforts to improve child care quality. Prior research has explored the prevalence and predictors of turnover at the individual teacher level, but less is known about turnover at the center level – specifically, how turnover varies across child care centers or whether staffing challenges persist year after year for some centers. This study tracks annual turnover rates for all publicly funded child care centers that were continuously operating in Louisiana from the 2015-16 to 2018-19 school years (n=575 centers). We document high and variable turnover rates across centers throughout the state: The annual mean turnover rate was 40%, and each year nearly one-third of centers experienced high turnover, that is, lost more than half of their teachers. About 27% of centers experienced high turnover for multiple years in our panel, while 44% of centers did not experience high turnover in any year. Our findings underscore concerns that sustained staffing challenges may hinder efforts to provide high-quality child care.