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Generic Inference on Quantile and Quantile Effect Functions for Discrete Outcomes
Name
1608.05142.pdf
Description
Submitted version
Size
561.32 KB
Format
Adobe PDF
Checksum (MD5)
241542771ebe062418cb2b0f803f48c2
Author(s)
Chernozhukov, Victor
Fernández-Val, Iván
Melly, Blaise
Wüthrich, Kaspar
Date Issued
2020
Journal
Journal of the American Statistical Association
Publisher
Informa UK Limited
Version
Original manuscript
Abstract
© 2019, © 2019 American Statistical Association. Quantile and quantile effect (QE) functions are important tools for descriptive and causal analysis due to their natural and intuitive interpretation. Existing inference methods for these functions do not apply to discrete random variables. This article offers a simple, practical construction of simultaneous confidence bands for quantile and QE functions of possibly discrete random variables. It is based on a natural transformation of simultaneous confidence bands for distribution functions, which are readily available for many problems. The construction is generic and does not depend on the nature of the underlying problem. It works in conjunction with parametric, semiparametric, and nonparametric modeling methods for observed and counterfactual distributions, and does not depend on the sampling scheme. We apply our method to characterize the distributional impact of insurance coverage on health care utilization and obtain the distributional decomposition of the racial test score gap. We find that universal insurance coverage increases the number of doctor visits across the entire distribution, and that the racial test score gap is small at early ages but grows with age due to socio-economic factors especially at the top of the distribution. Supplementary materials (additional results, R package, replication files) for this article are available online.
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
10.1080/01621459.2019.1611581
