TY - JOUR AB - Researchers decompose test score “gaps” and gap-changes into within- and between-school portions to generate evidence on the role that schools play in shaping educational inequality. However, existing decomposition methods (a) assume an equal-interval test scale and (b) are a poor fit to coarsened data such as proficiency categories. We develop two decomposition approaches that overcome these limitations: an extension of V, an ordinal gap statistic (Ho, 2009), and an extension of ordered probit models (Reardon et al., 2017). Simulations show V decompositions have negligible bias with small within-school samples. Ordered probit decompositions have negligible bias with large within-school samples but more serious bias with small within-school samples. These methods are applicable to decomposing any ordinal outcome by any categorical grouping variable. AU - Quinn, David M. AU - Ho, Andrew D. DA - July 2020 DO - 10.26300/3n9n-1c85 PY - 2020 ST - Ordinal Approaches to Decomposing Between-group Test Score Disparities T2 - EdWorkingPapers.com TI - Ordinal Approaches to Decomposing Between-group Test Score Disparities UR - https://www.edworkingpapers.com/ai20-257 ID - 230 ER -