Table 3.
Square root of mean square error (RMSE) relative to RMSE of fully-weighted estimator, and true coverage of the 95% CI or PPI of population mean estimator under the model μC that is consistent with weight trimming.
RMSE relative to FWT | True Coverage | |||||||||
---|---|---|---|---|---|---|---|---|---|---|
n = 100 | Variance log10 | Variance log10 | ||||||||
Estimator | −2 | 0 | 2 | 4 | 6 | −2 | 0 | 2 | 4 | 6 |
UNWT | 358.35 | 37.72 | 2.90 | 0.54 | 0.42 | 0 | 0 | 0 | 93 | 98 |
FWT | 1 | 1 | 1 | 1 | 1 | 93 | 92 | 85 | 92 | 88 |
TWT3 | 36.80 | 3.92 | 0.65 | 0.70 | 0.65 | 0 | 0 | 94 | 96 | 96 |
TWT7 | 3.65 | 1.62 | 0.88 | 0.84 | 0.84 | 6 | 77 | 93 | 92 | 96 |
PWT | 1.01 | 0.94 | 0.92 | 0.91 | 0.89 | 95 | 98 | 90 | 96 | 95 |
PWTF1 | 1.06 | 0.89 | 0.83 | 0.81 | 0.80 | 94 | 97 | 91 | 96 | 95 |
PWTF2 | 1.04 | 0.89 | 0.86 | 0.85 | 0.83 | 94 | 97 | 92 | 96 | 94 |
n = 500 | ||||||||||
UNWT | 739.48 | 72.52 | 7.78 | 0.69 | 0.39 | 0 | 0 | 0 | 80 | 98 |
FWT | 1 | 1 | 1 | 1 | 1 | 98 | 96 | 98 | 96 | 96 |
TWT3 | 76.14 | 7.56 | 1.02 | 0.64 | 0.63 | 0 | 0 | 88 | 97 | 98 |
TWT7 | 8.96 | 2.63 | 1.15 | 0.82 | 0.80 | 0 | 29 | 97 | 99 | 100 |
PWT | 1.03 | 0.91 | 0.84 | 0.83 | 0.81 | 94 | 94 | 98 | 92 | 96 |
PWTF1 | 1.09 | 0.85 | 0.76 | 0.76 | 0.72 | 92 | 96 | 99 | 95 | 96 |
PWTF2 | 1.06 | 0.87 | 0.82 | 0.82 | 0.79 | 94 | 95 | 98 | 95 | 96 |