Table 2 Relative bias, RMSE and coverage probability for heroin use comparing validation data to imputed data
Method | % Missing | Estimate | Mean Bias | % Relative Bias | RMSE | Coverage |
|---|---|---|---|---|---|---|
Missing Data Mechanism: MCAR | ||||||
LD | 10% | 3.0% | 0.00003 | 0.11% | 0.0036 | 94.6% |
LR | 10% | 3.0% | 0.00006 | 0.19% | 0.0036 | 94.6% |
HD | 10% | 3.0% | 0.00001 | 0.04% | 0.0036 | 94.0% |
MI (M = 5) | 10% | 3.0% | 0.00034 | 1.14% | 0.0036 | 94.8% |
MI (M = 20) | 10% | 3.0% | 0.00033 | 1.09% | 0.0036 | 95.0% |
LD | 30% | 3.0% | 0.00009 | 0.29% | 0.0042 | 94.6% |
LR | 30% | 3.0% | 0.00010 | 0.34% | 0.0038 | 92.2% |
HD | 30% | 3.0% | 0.00006 | 0.19% | 0.0042 | 89.6% |
MI (M = 5) | 30% | 3.1% | 0.00108 | 3.60% | 0.0040 | 94.2% |
MI (M = 20) | 30% | 3.1% | 0.00105 | 3.50% | 0.0039 | 94.2% |
LD | 50% | 3.0% | -0.00007 | -0.23% | 0.0049 | 94.2% |
LR | 50% | 3.0% | -0.00006 | -0.20% | 0.0039 | 90.0% |
HD | 50% | 3.0% | 0.00006 | 0.20% | 0.0044 | 88.6% |
MI (M = 5) | 50% | 3.2% | 0.00183 | 6.09% | 0.0045 | 93.8% |
MI (M = 20) | 50% | 3.2% | 0.00181 | 6.03% | 0.0043 | 93.6% |
Missing Data Mechanism: MAR | ||||||
LD | 10% | 2.0% | -0.00999 | -33.33% | 0.0105 | 14.0% |
LR | 10% | 2.9% | -0.00110 | -3.66% | 0.0037 | 91.8% |
HD | 10% | 2.9% | -0.00049 | -1.65% | 0.0037 | 92.8% |
MI (M = 5) | 10% | 3.0% | 0.00031 | 1.03% | 0.0037 | 95.0% |
MI (M = 20) | 10% | 3.0% | 0.00034 | 1.12% | 0.0037 | 94.2% |
LD | 30% | 1.4% | -0.01554 | -51.84% | 0.0158 | 1.0% |
LR | 30% | 2.7% | -0.00256 | -8.55% | 0.0044 | 83.4% |
HD | 30% | 2.9% | -0.00132 | -4.40% | 0.0043 | 87.2% |
MI (M = 5) | 30% | 3.1% | 0.00118 | 3.95% | 0.0042 | 95.4% |
MI (M = 20) | 30% | 3.1% | 0.00121 | 4.02% | 0.0041 | 95.2% |
LD | 50% | 1.1% | -0.01871 | -62.41% | 0.0189 | 0.0% |
LR | 50% | 2.7% | -0.00337 | -11.25% | 0.0051 | 75.6% |
HD | 50% | 2.8% | -0.00151 | -5.03% | 0.0048 | 82.8% |
MI (M = 5) | 50% | 3.2% | 0.00201 | 6.69% | 0.0048 | 93.6% |
MI (M = 20) | 50% | 3.2% | 0.00205 | 6.83% | 0.0046 | 93.8% |
Missing Data Mechanism: MNAR | ||||||
LD | 10% | 1.6% | -0.01361 | -45.41% | 0.0139 | 0.8% |
LR | 10% | 1.8% | -0.01181 | -39.41% | 0.0122 | 3.4% |
HD | 10% | 1.9% | -0.01131 | -37.73% | 0.0117 | 7.0% |
MI (M = 5) | 10% | 1.9% | -0.01101 | -36.74% | 0.0114 | 11.4% |
MI (M = 20) | 10% | 1.9% | -0.01099 | -36.67% | 0.0114 | 10.8% |
LD | 30% | 1.2% | -0.01799 | -60.03% | 0.0182 | 0.0% |
LR | 30% | 1.8% | -0.01192 | -39.77% | 0.0123 | 3.2% |
HD | 30% | 1.9% | -0.01127 | -37.59% | 0.0117 | 6.8% |
MI (M = 5) | 30% | 2.0% | -0.01016 | -33.91% | 0.0106 | 20.6% |
MI (M = 20) | 30% | 2.0% | -0.01023 | -34.13% | 0.0106 | 18.6% |
LD | 50% | 1.0% | -0.02032 | -67.82% | 0.0205 | 0.0% |
LR | 50% | 2.0% | -0.00994 | -33.15% | 0.0105 | 13.8% |
HD | 50% | 2.1% | -0.00934 | -31.16% | 0.0101 | 22.8% |
MI (M = 5) | 50% | 2.3% | -0.00687 | -22.91% | 0.0077 | 69.8% |
MI (M = 20) | 50% | 2.3% | -0.00688 | -22.97% | 0.0077 | 65.8% |