Multiple Imputations for Linear Regression Models
AbstractRubin (1987) has proposed multiple imputations as a general method for estimation ion the presence of missing data. Rubin's results only strictly apply to Bayesian models, but Schenker and Welsh (1988) directly prove the consistency of multiple imputations inferences when there are missing values of the dependent variable in linear regression models. This paper extends and modifies Schenker and Welsh's theorems to give conditions where multiple imputations yield consistent inferences for both ignorable and nonignorable missing data in exogenous variables. One key condition is that the imputed values must have the same conditional first and second moments as the true values. Monte Carlo studies show that the multiple imputation covariance estimates are accurate for realistic sample sizes. They also support the applications of multiple imputations in Brownstone and Valletta (1991), where the multiple imputations estimates substantially changed the qualitative conclusions implied by the model.
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Bibliographic InfoPaper provided by University of California Transportation Center in its series University of California Transportation Center, Working Papers with number qt5rv0265r.
Date of creation: 01 Nov 1991
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- Brownstone, David & Valletta, Robert G, 1996. "Modeling Earnings Measurement Error: A Multiple Imputation Approach," University of California Transportation Center, Working Papers, University of California Transportation Center qt3gb0k9b5, University of California Transportation Center.
- Kaestner, Robert & Joyce, Theodore & Wehbeh, Hassan, 1996.
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- Robert Kaestner & Theodore Joyce & Hassan Wehbeh, 1996. "The Effect of Maternal Drug Use on Birth Weight: Measurement Error in Binary Variables," NBER Working Papers, National Bureau of Economic Research, Inc 5434, National Bureau of Economic Research, Inc.
- Brownstone, David & Velletta, Robert G., 1996. "Modeling Earnings Measurement Error: A Multiple Imputation Approach," University of California Transportation Center, Working Papers, University of California Transportation Center qt2t08s22q, University of California Transportation Center.
- Brownstone, David, 1997. "Multiple Imputation Methodology for Missing Data, Non-Random Response, and Panel Attrition," University of California Transportation Center, Working Papers, University of California Transportation Center qt2zd6w6hh, University of California Transportation Center.
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