Partially Linear Models under Data Combination

Arbeitspapier

We consider the identification of and inference on a partially linear model, when the outcome of interest and some of the covariates are observed in two different datasets that cannot be linked. This type of data combination problem arises very frequently in empirical microeconomics. Using recent tools from optimal transport theory, we derive a constructive characterization of the sharp identified set. We then build on this result and develop a novel inference method that exploits the specific geometric properties of the identified set. Our method exhibits good performances in finite samples, while remaining very tractable. Finally, we apply our methodology to study intergenerational income mobility over the period 1850-1930 in the United States. Our method allows to relax the exclusion restrictions used in earlier work while delivering confidence regions that are informative.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: IZA Discussion Papers ; No. 15230

Classification and Topics

• Classification: Wirtschaft ; Semiparametric and Nonparametric Methods: General ; Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions ; Job, Occupational, and Intergenerational Mobility; Promotion
• Subject: partially linear model ; data combination ; partial identification ; intergenerational mobility

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): D'Haultfoeuille, Xavier ; Gaillac, Christophe ; Maurel, Arnaud
• Event: Veröffentlichung
• (who): Institute of Labor Economics (IZA)
• (where): Bonn
• (when): 2022

Further information

• Handle: http://hdl.handle.net/10419/263446
• Last update: 10.03.2025, 11:42 AM CET