TABLE 2.
Setups | Method | C(ρ) | x1 | x3 | x1, x2 | x1, x3 | x2, x3 | x1, x2, x3 | Total |
---|---|---|---|---|---|---|---|---|---|
n = 100 | JEAIC | AR1 | 0.002 | 0.002 | 0.092 | 0 | 0.012 | 0.008 | 0.116 |
m = 0.2 | EXC | 0.024 | 0.01 | 0.566 | 0.002 | 0.191 | 0.09 | 0.884 | |
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0.026 | 0.012 | 0.659 | 0.002 | 0.203 | 0.098 | 1 | ||
JEBIC | AR1 | 0.022 | 0.004 | 0.084 | 0 | 0.012 | 0 | 0.122 | |
EXC | 0.096 | 0.022 | 0.557 | 0.002 | 0.195 | 0.006 | 0.878 | ||
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0.118 | 0.026 | 0.641 | 0.002 | 0.207 | 0.006 | 1 | ||
MLIC | AR1 | 0.006 | 0.012 | 0.212 | 0 | 0.126 | 0.054 | 0.41 | |
EXC | 0.012 | 0.006 | 0.258 | 0.006 | 0.184 | 0.074 | 0.54 | ||
IND | 0 | 0 | 0.028 | 0 | 0.016 | 0.006 | 0.05 | ||
Total | 0.018 | 0.018 | 0.498 | 0.006 | 0.326 | 0.134 | 1 | ||
QICWr | AR1 | 0 | 0 | 0.056 | 0 | 0.042 | 0.04 | 0.138 | |
EXC | 0.008 | 0.004 | 0.436 | 0.002 | 0.232 | 0.114 | 0.796 | ||
IND | 0 | 0 | 0.034 | 0 | 0.02 | 0.012 | 0.066 | ||
Total | 0.008 | 0.004 | 0.526 | 0.002 | 0.294 | 0.166 | 1 | ||
n = 100 | JEAIC | AR1 | 0.01 | 0.002 | 0.094 | 0.002 | 0.032 | 0.02 | 0.16 |
m = 0.3 | EXC | 0.046 | 0.026 | 0.484 | 0.004 | 0.194 | 0.086 | 0.84 | |
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0.056 | 0.028 | 0.578 | 0.006 | 0.226 | 0.106 | 1 | ||
JEBIC | AR1 | 0.042 | 0.012 | 0.078 | 0 | 0.028 | 0.002 | 0.162 | |
EXC | 0.142 | 0.066 | 0.436 | 0 | 0.184 | 0.01 | 0.838 | ||
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0.184 | 0.078 | 0.514 | 0 | 0.212 | 0.012 | 1 | ||
MLIC | AR1 | 0.01 | 0.008 | 0.154 | 0.002 | 0.098 | 0.046 | 0.318 | |
EXC | 0.038 | 0.032 | 0.296 | 0.002 | 0.184 | 0.066 | 0.618 | ||
IND | 0.002 | 0.004 | 0.028 | 0 | 0.016 | 0.014 | 0.064 | ||
Total | 0.05 | 0.044 | 0.478 | 0.004 | 0.298 | 0.126 | 1 | ||
QICWr | AR1 | 0.002 | 0 | 0.048 | 0 | 0.03 | 0.034 | 0.114 | |
EXC | 0.008 | 0.004 | 0.456 | 0.004 | 0.232 | 0.132 | 0.836 | ||
IND | 0 | 0 | 0.022 | 0 | 0.012 | 0.016 | 0.05 | ||
Total | 0.01 | 0.004 | 0.526 | 0.004 | 0.274 | 0.182 | 1 | ||
n = 200 | JEAIC | AR1 | 0 | 0 | 0.036 | 0 | 0.008 | 0.008 | 0.052 |
m = 0.2 | EXC | 0 | 0 | 0.726 | 0 | 0.092 | 0.13 | 0.948 | |
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0 | 0 | 0.762 | 0 | 0.1 | 0.138 | 1 | ||
JEBIC | AR1 | 0 | 0 | 0.042 | 0 | 0.012 | 0.002 | 0.056 | |
EXC | 0.01 | 0 | 0.806 | 0 | 0.11 | 0.018 | 0.944 | ||
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0.01 | 0 | 0.848 | 0 | 0.122 | 0.02 | 1 | ||
MLIC | AR1 | 0 | 0 | 0.216 | 0 | 0.05 | 0.072 | 0.338 | |
EXC | 0 | 0 | 0.404 | 0 | 0.098 | 0.098 | 0.6 | ||
IND | 0.002 | 0 | 0.032 | 0 | 0.006 | 0.022 | 0.062 | ||
Total | 0.002 | 0 | 0.652 | 0 | 0.154 | 0.192 | 1 | ||
QICWr | AR1 | 0 | 0 | 0.056 | 0 | 0.01 | 0.028 | 0.094 | |
EXC | 0 | 0 | 0.558 | 0 | 0.108 | 0.168 | 0.834 | ||
IND | 0 | 0 | 0.04 | 0 | 0.002 | 0.03 | 0.072 | ||
Total | 0 | 0 | 0.654 | 0 | 0.12 | 0.226 | 1 | ||
n = 200 | JEAIC | AR1 | 0 | 0 | 0.068 | 0 | 0.012 | 0.008 | 0.088 |
m = 0.3 | EXC | 0.008 | 0 | 0.662 | 0 | 0.132 | 0.11 | 0.912 | |
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0.008 | 0 | 0.73 | 0 | 0.144 | 0.118 | 1 | ||
JEBIC | AR1 | 0.004 | 0.002 | 0.078 | 0 | 0.012 | 0 | 0.096 | |
EXC | 0.04 | 0 | 0.698 | 0.002 | 0.154 | 0.01 | 0.904 | ||
IND | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
Total | 0.044 | 0.002 | 0.776 | 0.002 | 0.166 | 0.01 | 1 | ||
MLIC | AR1 | 0.002 | 0 | 0.206 | 0.002 | 0.054 | 0.072 | 0.336 | |
EXC | 0.004 | 0.002 | 0.374 | 0 | 0.13 | 0.094 | 0.604 | ||
IND | 0 | 0 | 0.032 | 0 | 0.012 | 0.016 | 0.06 | ||
Total | 0.006 | 0.002 | 0.612 | 0.002 | 0.196 | 0.182 | 1 | ||
QICWr | AR1 | 0 | 0 | 0.064 | 0 | 0.004 | 0.028 | 0.096 | |
EXC | 0 | 0 | 0.542 | 0 | 0.124 | 0.192 | 0.858 | ||
IND | 0 | 0 | 0.018 | 0 | 0.004 | 0.024 | 0.046 | ||
Total | 0 | 0 | 0.624 | 0 | 0.132 | 0.244 | 1 |
The model with {x1, x2} and an EXC correlation structure is the true model. Notations n and m denote the sample size and the missing probability, respectively.
Abbreviations: EXC, exchangeable; IND, independence; JEAIC, joint empirical Akaike information criterion; JEBIC, joint empirical Bayesian information criterion; MLIC, missing longitudinal information criterion; QICW, weighted quasi-likelihood information criterion.
The bold values denote the true mean and correlation structures.