Table 4.
Empirical rejection rates and powers of two-sample tests under the incorrect imputation model; The null hypothesis scenario corresponds to the first column (I vs. II). The second and third columns (I vs. III and I vs. IV) indicate powers. Configuration I is the generation model for group 1 (Z = 1), which is fixed, and configurations II, III, and IV correspond to the generation models for group 2 (Z = 0).
n | % missing in configuration I | Method | 10% missing in configurations II, III, and IV | ||
---|---|---|---|---|---|
( ) | ( ) | ( ) | |||
= (−2.65, 0.5) | = (−2.6, 0.5) | = (−2.68, 0.5) | |||
I vs. II | I vs. III | I vs. IV | |||
200 | 20% | m=1 | 0.055 | 0.085 | 0.641 |
( ) | m=10 | 0.056 | 0.074 | 0.654 | |
= (−1.38, 0) | CC | 0.064 | 0.064 | 0.593 | |
30% | m=1 | 0.064 | 0.084 | 0.590 | |
( ) | m=10 | 0.052 | 0.090 | 0.629 | |
= (−0.1, −1) | CC | 0.107 | 0.053 | 0.430 | |
40% | m=1 | 0.054 | 0.111 | 0.555 | |
( ) | m=10 | 0.053 | 0.092 | 0.582 | |
= (−0.1, −0.36) | CC | 0.105 | 0.065 | 0.392 | |
30% | m=1 | 0.060 | 0.084 | 0.604 | |
( ) | m=10 | 0.057 | 0.094 | 0.634 | |
= (−1.38, 0.56) | CC | 0.071 | 0.107 | 0.660 | |
40% | m=1 | 0.053 | 0.088 | 0.582 | |
( ) | m=10 | 0.049 | 0.078 | 0.596 | |
= (−1.38, 1.1) | CC | 0.085 | 0.105 | 0.700 | |
| |||||
400 | 20% | m=1 | 0.046 | 0.146 | 0.887 |
( ) | m=10 | 0.048 | 0.143 | 0.911 | |
= (−1.38, 0) | CC | 0.060 | 0.120 | 0.881 | |
30% | m=1 | 0.054 | 0.122 | 0.840 | |
Equation | m=10 | 0.052 | 0.112 | 0.863 | |
= (−0.1, −1) | CC | 0.148 | 0.064 | 0.675 | |
40% | m=1 | 0.045 | 0.144 | 0.822 | |
( ) | m=10 | 0.045 | 0.138 | 0.856 | |
= (−0.1, −0.36) | CC | 0.117 | 0.063 | 0.678 | |
30% | m=1 | 0.059 | 0.131 | 0.884 | |
( ) | m=10 | 0.060 | 0.128 | 0.906 | |
= (−1.38, 0.56) | CC | 0.061 | 0.161 | 0.924 | |
40% | m=1 | 0.055 | 0.134 | 0.857 | |
( ) | m=10 | 0.045 | 0.131 | 0.887 | |
= (−1.38, 1.1) | CC | 0.061 | 0.197 | 0.934 |