Generic Inference on Quantile and Quantile Effect Functions for Discrete Outcomes

Chernozhukov, Victor; Fernández-Val, Iván; Melly, Blaise; Wüthrich, Kaspar (2019). Generic Inference on Quantile and Quantile Effect Functions for Discrete Outcomes. Journal of the American Statistical Association, 115(529), pp. 123-137. Taylor & Francis Group 10.1080/01621459.2019.1611581

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

03 Faculty of Business, Economics and Social Sciences > Department of Economics
03 Faculty of Business, Economics and Social Sciences > Department of Economics > Institute of Economics > Econometrics

UniBE Contributor:

Melly, Blaise Stéphane

Subjects:

300 Social sciences, sociology & anthropology > 330 Economics

ISSN:

0162-1459

Publisher:

Taylor & Francis Group

Language:

English

Submitter:

Dino Collalti

Date Deposited:

31 Jan 2020 16:33

Last Modified:

22 Mar 2020 02:48

Publisher DOI:

10.1080/01621459.2019.1611581

BORIS DOI:

10.7892/boris.138745

URI:

https://boris.unibe.ch/id/eprint/138745

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