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…

Linking score scales across different tests is considered speculative and fraught, even at the aggregate level (Feuer et al., 1999; Thissen, 2007). 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…

Test score distributions of schools or demographic groups are often summarized by frequencies of students scoring in a small number of ordered proficiency categories. We show that heteroskedastic ordered probit (HETOP) models can be used to estimate means and standard deviations of multiple groups' test score distributions from such data. Because…

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…

Test scores are commonly reported in a small number of ordered categories. Examples of such reporting include state accountability testing, Advanced Placement tests, and English proficiency tests. This paper introduces and evaluates methods for estimating achievement gaps on a familiar standard-deviation-unit metric using data from these ordered…

Test scores are commonly reported in a small number of ordered categories. Examples of such reporting include state accountability testing, Advanced Placement tests, and English proficiency tests. This article introduces and evaluates methods for estimating achievement gaps on a familiar standard-deviation-unit metric using data from these ordered…

There are nearly 14,000 school districts in the United States. Of these districts, there is very little information about the size of academic achievement gaps between whites and blacks and white and Hispanic students. This study was interested in district-level achievement patterns across the almost 14,000 school districts in the country because…

The authors' goals in this study are to use both the National Assessment of Educational Progress (NAEP) and state accountability test score data to (1) provide a detailed description of the magnitude and trends of state-level academic achievement gaps among cohorts of students entering school in the 1990s and 2000s; (2) investigate the extent to…