Linking score scales across different tests is considered speculative and fraught, even at the aggregate level. We introduce and illustrate validation methods for aggregate linkages, using the challenge of linking U.S. school district average test scores across states as a motivating example. We show that aggregate linkages can be validated both…

Prior research suggests that males outperform females, on average, on multiple-choice items compared to their relative performance on constructed-response items. This paper characterizes the extent to which gender achievement gaps on state accountability tests across the United States are associated with those tests' item formats. Using roughly 8…

We estimate male-female test score gaps in math and English language arts (ELA) for nearly 10,000 U.S. school districts using state accountability data from third- through eighth-grade students in the 2008-2009 through 2015-2016 school years. We find that the average U.S. school district has no gender achievement gap in math, but there is a gap of…

Has the gap in average standardized test scores between students from high- and low-income families widened, narrowed, or remained stable over the last 3 decades? The question is important both because the achievement gap is measure of how (un)equally educational opportunities are distributed in the US, and because the disparity in educational…

A comparison of Chicago public school students' standardized test scores in 2009-2014 with those of public students across the U.S. reveals two striking patterns. First, Chicago students' scores improved dramatically more, on average, between third and eighth grade than those of the average student in the U.S. This is true for students of all…