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Estimating Regression Models in Which the Dependent Variable Is Based on Estimates

Bibliographic Data

ID7971064
AuthorsJamie B Lewis (0000-0003-2605-5010, University of California, Los Angeles), Jeffrey B Lewis, Drew A Linzer (University of California, Los Angeles)
Year2005
Volume13
Issue4
Pages345-364
Publication date2005-01-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePolitical Analysis (JOURNAL)
Journal identifiersISSN: 1047-1987 • E-ISSN: 1476-4989
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1093/pan/mpi026
OpenAlexW2132465025
LanguageEN
Citations received204
References cited21

Researchers often use as dependent variables quantities estimated from auxiliary data sets. Estimated dependent variable (EDV) models arise, for example, in studies where counties or states are the units of analysis and the dependent variable is an estimated mean, proportion, or regression coefficient. Scholars fitting EDV models have generally recognized that variation in the sampling variance of the observations on the dependent variable will induce heteroscedasticity. We show that the most common approach to this problem, weighted least squares, will usually lead to inefficient estimates and underestimated standard errors. In many cases, OLS with White's or Efron heteroscedastic consistent standard errors yields better results. We also suggest two simple alternative FGLS approaches that are more efficient and yield consistent standard error estimates. Finally, we apply the various alternative estimators to a replication of Cohen's (2004) cross-national study of presidential approval

Bootstrapping (finance · Econometrics · Economics · Estimator · Heteroscedasticity · Instrumental variable · Jackknife resampling · Ordinary least squares · Regression · Regression analysis · Replication (statistics · Standard error · Statistics · Variable (mathematics · Variables · Variance (accounting · Advanced Causal Inference Techniques · Electoral Systems and Political Participation · Mathematics · Statistical Methods and Inference

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Unique citing works204
Citations per year9,71
Citation span2005 - 2026 (22)
Citation velocitycurrent
Highly citedYes
Citation typesNeutral: 203

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