Table 6 Simulation study results: coverage rate of the normality-based confidence interval for the \(\hat{\beta}\) regression coefficient for CCA and the IPPW method (18 response models), for nine response mechanism scenarios
Scenarioa | γx | γy | CCA | IPPW method | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Response models | |||||||||||||
(X), Z1, Z2, Z3, Z4 | (X), Z1, Z2, Z3, Z4, Z5, Z6, Z7 | (X), Z1, Z3 | (X), Z1, Z2, Z3, Z5, Z7 | (X), Z1 | (X), Z5 | (X), Z1, Z5 | (X), Z1, Z5, Z7 | (X), Z5, Z7 | |||||
MAR 1 | 0.0 | 0.0 | 94.9 | Xb | 95.1 | 95.0 | 94.9 | 95.1 | 95.0 | 95.0 | 95.0 | 95.0 | 95.0 |
– | 95.1 | 95.0 | 94.9 | 95.0 | 94.9 | 95.0 | 95.0 | 94.9 | 95.0 | ||||
MAR 2 | 0.2 | 0.0 | 95.1 | Xb | 95.1 | 95.1 | 95.1 | 95.0 | 95.2 | 95.2 | 95.1 | 95.1 | 95.2 |
– | 95.0 | 95.0 | 95.0 | 95.0 | 95.0 | 95.2 | 95.0 | 95.0 | 95.1 | ||||
MAR 3 | 0.5 | 0.0 | 94.9 | Xb | 95.0 | 94.9 | 95.0 | 95.0 | 94.8 | 94.9 | 94.8 | 94.9 | 94.9 |
– | 94.8 | 94.9 | 94.8 | 94.9 | 94.9 | 94.9 | 94.9 | 94.9 | 95.0 | ||||
MNAR 1 | 0.0 | 0.2 | 95.0 | Xb | 95.2 | 95.2 | 95.1 | 95.1 | 95.0 | 95.0 | 95.0 | 95.0 | 95.1 |
– | 95.2 | 95.2 | 95.1 | 95.1 | 94.9 | 95.0 | 95.0 | 95.0 | 95.0 | ||||
MNAR 2 | 0.2 | 0.2 | 93.8 | Xb | 94.1 | 94.3 | 94.2 | 94.3 | 93.8 | 93.8 | 93.7 | 94.0 | 93.9 |
– | 93.8 | 94.0 | 93.9 | 93.8 | 93.8 | 93.8 | 93.8 | 93.9 | 93.8 | ||||
MNAR 3 | 0.5 | 0.2 | 89.9 | Xb | 91.5 | 91.9 | 91.5 | 92.0 | 90.2 | 90.3 | 90.1 | 90.6 | 90.8 |
– | 89.9 | 90.0 | 89.8 | 90.0 | 89.7 | 90.0 | 89.6 | 89.6 | 89.9 | ||||
MNAR 4 | 0.0 | 0.5 | 93.2 | Xb | 93.6 | 93.6 | 93.7 | 93.7 | 93.3 | 93.3 | 93.3 | 93.3 | 93.4 |
– | 93.4 | 93.3 | 93.3 | 93.3 | 93.2 | 93.1 | 93.2 | 93.2 | 93.2 | ||||
MNAR 5 | 0.2 | 0.5 | 84.3 | Xb | 86.2 | 87.0 | 86.2 | 87.0 | 84.4 | 84.5 | 84.4 | 85.4 | 85.5 |
– | 84.3 | 84.6 | 84.1 | 84.3 | 84.3 | 84.3 | 84.2 | 84.2 | 84.3 | ||||
MNAR 6 | 0.5 | 0.5 | 63.9 | Xb | 71.2 | 73.4 | 71.2 | 73.5 | 66.5 | 66.8 | 66.5 | 69.0 | 69.4 |
– | 64.2 | 64.7 | 63.9 | 64.3 | 63.6 | 63.6 | 63.7 | 63.5 | 63.4 | ||||