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Our upcoming event for the Statistics Department Colloquium Series is scheduled for this Monday, March 27th from 12:00 – 1:00pm (ET) and will be an in-person presentation Science Center Rm. 316. The speaker will be Xiang Zhou, who is an associate professor in the Department of Sociology at Harvard University.
Title: Disparity Analysis: A Tale of Two Approaches
Abstract: To understand the patterns and trends of various forms of inequality, quantitative social science research has typically relied on statistical models linking the conditional mean of an outcome of interest to a range of explanatory factors. A prime example of this approach is the widely used Kitagawa-Oaxaca-Blinder (KOB) method. By fitting two linear models separately for an advantaged group and a disadvantaged group, the KOB method decomposes the between-group outcome disparity into two parts, a part explained by group differences in a set of background characteristics and an unexplained part often dubbed “residual inequality.” In this paper, we explicate and contrast two distinct approaches to studying group disparities, which we term the descriptive approach, as epitomized by the KOB decomposition and its variants, and the prescriptive approach, which focuses on how the disparity of interest would change under a hypothetical intervention to one or more manipulable treatments. For the descriptive approach, we propose a generalized KOB decomposition that allows multiple sets of explanatory variables to be considered sequentially. For the prescriptive approach, we consider a variety of stylized interventions, such as lottery-type and affirmative-action-type interventions that close between-group gaps in treatment. We illustrate the two approaches to disparity analysis by considering the Black-White gap in college completion in the US, how it is statistically explained by racial differences in socioeconomic background, family structure, academic preparation, and college selectivity, and the extent to which it would be reduced under hypothetical reallocations of college-goers from different racial/income backgrounds into different tiers of college --- reallocations that could be targeted by race- or class-conscious admissions policies.