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Closing the Gap: Modeling within-school variance heterogeneity in school effect studies
Authors:Junyeop Kim  Kilchan Choi
Institution:(1) Charles Drew University, 1748 E, 118th Street. Building N, 90059 Los Angeles, CA, USA;(2) National Center for Research on Evaluation, Standards, and Student Testing, University of California, Los Angeles, USA
Abstract:Effective schools should be superior in both enhancing students’ achievement levels and reducing the gap between high- and low-achieving students in the school. However, the focus has been placed mainly on schools’ achievement levels in most school effect studies. In this article, we focused our attention upon the school-specific achievement dispersion as well as achievement level in determining effective schools. The achievement dispersion in a particular school can be captured by within-school variance in achievement (σ2). Assuming heterogeneous within-school variance across schools in hierarchical modeling, it is possible to identify school factors related to high achievement levels and a small gap between high- and low-achieving students. By analyzing data from the TIMMS-R, we illustrated how to detect variance heterogeneity and how to find a systematic relationship between within-school variance and school practice. In terms of our results, we found that schools with a high achievement level tended to be more homogeneous in achievement dispersion, but even among schools with the same achievement level, schools varied in their achievement dispersion, depending on classroom practices.
Keywords:school effect  variance heterogeneity  achievement gap  hierarchical modeling  latent variable  regression
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