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Anatomy of the Selection Problem

Manski, Charles F.·1989·The Journal of Human Resources

Abstract

This article considers anew the problem of estimating a regression E(y|x) when realizations of (y, x) are sampled randomly but y is observed selectively. The central issue is the failure of the sampling process to identify E(y|x). The problem faced by the researcher is to find correct prior restrictions which, when combined with the data, identify the regression. Two kinds of restrictions are examined here. One, which has not been studied before, is a bound on the support of y. Such a bound implies a simple, useful bound on E(y|x). The other, which has received much attention, is a separability restriction derived from a latent variable model.

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Metadata

Authors
Manski, C. F.
Venue
The Journal of Human Resources
Publisher
JSTOR
Published
1989
Volume
24
Issue
3
Pages
343
ISSN
0022-166X (ISSN-L)
OpenAlex
W1574539612
Cited by
535
References
0
FWCI
6.89
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Anatomy of the Selection Problem. https://app.cochat.ai/papers/10.2307/145818
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Manski, C. F. (1989). Anatomy of the Selection Problem. The Journal of Human Resources. https://doi.org/10.2307/145818

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.