Table 4.
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 μD that is not consistent with weight trimming. (Dotted line indicates 95% interval for 200 simulations of a binomial with a 95% success rate.)
RMSE relative to FWT | True Coverage | |||||||||
---|---|---|---|---|---|---|---|---|---|---|
n = 100 | Variance log10 | Variance log10 | ||||||||
Estimator | −1 | 0 | 1 | 2 | 3 | −1 | 0 | 1 | 2 | 3 |
UNWT | 471.23 | 37.73 | 4.37 | 0.56 | 0.39 | 0 | 0 | 0 | 94 | 98 |
FWT | 1 | 1 | 1 | 1 | 1 | 94 | 88 | 88 | 93 | 90 |
TWT3 | 192.64 | 15.45 | 2.04 | 0.68 | 0.65 | 0 | 0 | 28 | 98 | 96 |
TWT7 | 23.49 | 7.83 | 2.74 | 1.09 | 0.86 | 0 | 0 | 30 | 82 | 94 |
PWT | 1.00 | 1.01 | 1.08 | 0.90 | 0.91 | 96 | 88 | 90 | 94 | 96 |
PWTF1 | 1.00 | 0.99 | 1.17 | 0.82 | 0.81 | 96 | 88 | 88 | 96 | 96 |
PWTF2 | 1.00 | 1.00 | 1.13 | 0.85 | 0.84 | 95 | 90 | 89 | 94 | 96 |
n = 500 | ||||||||||
UNWT | 1015.9 | 92.02 | 9.81 | 1.01 | 0.45 | 0 | 0 | 0 | 58 | 98 |
FWT | 1 | 1 | 1 | 1 | 1 | 96 | 96 | 98 | 95 | 98 |
TWT3 | 415.58 | 37.64 | 4.02 | 0.75 | 0.66 | 0 | 0 | 0 | 95 | 98 |
TWT7 | 56.42 | 17.71 | 5.79 | 2.03 | 0.91 | 0 | 0 | 0 | 70 | 96 |
PWT | 1.01 | 1.00 | 1.08 | 0.91 | 0.80 | 96 | 96 | 94 | 95 | 94 |
PWTF1 | 1.00 | 1.01 | 1.15 | 0.88 | 0.70 | 95 | 94 | 92 | 94 | 96 |
PWTF2 | 1.00 | 1.00 | 1.11 | 0.89 | 0.80 | 96 | 94 | 93 | 94 | 96 |