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.