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cemmap Working Papers
March 2002 CWP12/02
Article
Semi-parametric models for satisfaction with income
Type: cemmap Working Papers
Authors: Charles Bellemare, Bertrand Melenberg and Arthur van Soest
ISSN: 1753-9196
Volume, issue, pages: 36 pp.
JEL classification: C14, C35, D12

An overview is presented of some parametric and semi-parametric models, estimators, and specification tests that can be used to analyze ordered response variables. In particular, limited dependent variable models that generalize ordered probit are compared to regression models that generalize the linear model. These techniques are then applied to analyze how self-reported satisfaction with household income relates to household income, family composition, and other background variables. Data are drawn from the 1998 wave of the German Socio- Economic Panel. The results are used to estimate equivalence scales and the cost of children. We find that the standard ordered probit model is rejected, while some semi-parametric specifications survive specification tests against nonparametric alternatives. The estimated equivalence scales, however, are often similar for the parametric and semi-parametric specifications.

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