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来源类型Working Paper
规范类型报告
DOI10.3386/w26883
来源IDWorking Paper 26883
Inference for Ranks with Applications to Mobility across Neighborhoods and Academic Achievement across Countries
Magne Mogstad; Joseph P. Romano; Azeem Shaikh; Daniel Wilhelm
发表日期2020-03-30
出版年2020
语种英语
摘要It is often desired to rank different populations according to the value of some feature of each population. For example, it may be desired to rank neighborhoods according to some measure of intergenerational mobility or countries according to some measure of academic achievement. These rankings are invariably computed using estimates rather than the true values of these features. As a result, there may be considerable uncertainty concerning the rank of each population. In this paper, we consider the problem of accounting for such uncertainty by constructing confidence sets for the rank of each population. We consider both the problem of constructing marginal confidence sets for the rank of a particular population as well as simultaneous confidence sets for the ranks of all populations. We show how to construct such confidence sets under weak assumptions. An important feature of all of our constructions is that they remain computationally feasible even when the number of populations is very large. We apply our theoretical results to re-examine the rankings of both neighborhoods in the United States in terms of intergenerational mobility and developed countries in terms of academic achievement. The conclusions about which countries do best and worst at reading, math, and science are fairly robust to accounting for uncertainty. The confidence sets for the ranking of the 50 most populous commuting zones by measures of mobility are also found to be small. These rankings, however, become much less informative if one includes all commuting zones, if one considers neighborhoods at a more granular level (counties, Census tracts), or if one uses movers across areas to address concerns about selection.
主题Econometrics ; Health, Education, and Welfare ; Labor Economics
URLhttps://www.nber.org/papers/w26883
来源智库National Bureau of Economic Research (United States)
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条目标识符http://119.78.100.153/handle/2XGU8XDN/584556
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Magne Mogstad,Joseph P. Romano,Azeem Shaikh,et al. Inference for Ranks with Applications to Mobility across Neighborhoods and Academic Achievement across Countries. 2020.
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