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. Author manuscript; available in PMC: 2014 Jun 16.
Published in final edited form as: Biometrika. 2012;99(2):423–438. doi: 10.1093/biomet/ass007

Table 2.

Mean squared errors of the estimated coefficients at quantile levels 0·1, 0·5 and 0·9 from 500 simulations in model (2) when f (x | z) is misspecified

τ =0·1 τ =0·5 τ =0·9
MSE SE MSE SE MSE SE
β̂ 1·58 0·09 0·76 0·05 1·33 0·08
β̃ 1·49 0·08 0·70 0·04 1·14 0·06
β̂(s) 1·36 0·08 0·72 0·04 1·07 0·07
β̃* 1·31 0·07 0·68 0·04 1·02 0·06

β̂, the estimated coefficient using the completely observed data only; β̃, the multiple imputation estimator with 10 imputations; β̂(s), the shrinkage estimator; β̃*, the multiple imputation estimator using the exact f (x | z); SE, the standard error of the mean squared error; MSE, mean squared errors.