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Journal of Official Statistics
Article . 2025 . Peer-reviewed
License: CC BY NC
Data sources: Crossref
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Journal of Official Statistics
Article . 2025
License: CC BY NC
Data sources: Research@CBS
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On Omitted Variables, Proxies, and Unobserved Effects in Empirical Regression Analysis

Authors: Shihan Du; Ralf Andreas Wilke; Pia Homrighausen;

On Omitted Variables, Proxies, and Unobserved Effects in Empirical Regression Analysis

Abstract

Any result from regression analysis may be subject to omitted variable bias of unknown magnitude and direction as, in practice, no dataset contains all the variables of the population model. At the same time, many variables are irrelevant and don’t contribute to the analysis. This paper explores which combination of data sources or structures will produce the best results and should be made available to the research community. We present a unified statistical framework that nests and comparable sets of constraints that characterize the effectiveness of these approaches in reducing omitted variable bias. We demonstrate our framework by estimating a wage and labor market transition model using German administrative data with a large set of linked survey variables. Overall, we find that unobserved effects panel data models with a restricted set of regressors are preferable to cross-sectional analysis with an extended set of variables. Consequently, we recommend that data providers supply administrative panel data for key variables instead of conducting extensive cross-sectional surveys.

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Keywords

Linked survey-administrative data, Endogeneity, Statistical regularization

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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