Arbeitspapier

Nonlinear difference-indifferences in repeated cross sections with continuous treatments

This paper studies the identification of nonseparable models with continuous, endogenous regressors, also called treatments, using repeated cross sections. We show that several treatment effect parameters are identified under two assumptions on the effect of time, namely a weak stationarity condition on the distribution of unobservables, and time variation in the distribution of endogenous regressors. Other treatment effect parameters are set identified under curvature conditions, but without any function form restrictions. This result is related to the difference-in-differences idea, but imposes neither additive time effects nor exogenously defined control groups. Furthermore, we investigate two extrapolation strategies that allow us to point identify the entire model: using monotonicity of the error term, or imposing a linear correlated random coefficient structure. Finally, we illustrate our results by studying the effect of mother's age on infants' birth weight.

Language
Englisch

Bibliographic citation
Series: cemmap working paper ; No. CWP40/13

Classification
Wirtschaft
Subject
identification
repeated cross sections
nonlinear models
continuous treatment
random coefficients
endogeneity
difference-in-differences

Event
Geistige Schöpfung
(who)
D'Haultfoeuille, Xavier
Hoderlein, Stefan
Sasaki, Yuya
Event
Veröffentlichung
(who)
Centre for Microdata Methods and Practice (cemmap)
(where)
London
(when)
2013

DOI
doi:10.1920/wp.cem.2013.4013
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • D'Haultfoeuille, Xavier
  • Hoderlein, Stefan
  • Sasaki, Yuya
  • Centre for Microdata Methods and Practice (cemmap)

Time of origin

  • 2013

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