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Anatomy of the Selection Problem

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  • Charles F. Manski

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.

Suggested Citation

  • Charles F. Manski, 1989. "Anatomy of the Selection Problem," Journal of Human Resources, University of Wisconsin Press, vol. 24(3), pages 343-360.
  • Handle: RePEc:uwp:jhriss:v:24:y:1989:i:3:p:343-360
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    1. Richard Burkhauser & Karen Holden & Daniel Myers, 1986. "Marital disruption and poverty: The role of survey procedures in artificially creating poverty," Demography, Springer;Population Association of America (PAA), vol. 23(4), pages 621-631, November.
    2. Duncan, Greg J & Gustafsson, Bjorn & Hauser, Richard & Schmauss, Gunther & Messinger, Hans & Muffels, Ruud & Nolan, Brian, 1993. "Poverty Dynamics in Eight Countries," Journal of Population Economics, Springer;European Society for Population Economics, vol. 6(3), pages 215-234.
    3. Stephen P. Jenkins & Christian Schluter & Gert G. Wagner, 2001. "The Dynamics of Child Poverty: Britain and Germany Compared," Discussion Papers of DIW Berlin 233, DIW Berlin, German Institute for Economic Research.
    4. Jenkins, Stephen P. & Schluter, Christian, 2001. "Why are child poverty rates higher in Britain than in Germany? a longitudinal perspective -working paper-," ISER Working Paper Series 2001-16, Institute for Social and Economic Research.
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