Table 6. Simulation results with mismatched blood collection time for cases and controls.
Sample size | Method | Null hypothesis | Alternative hypothesis | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Size1 | Bias2 | SE3 | SEE4 | CP5 | Power6 | Bias2 | SE3 | SEE4 | CP5 | ||
50 | TRUE | 0.049 | 0.000 | 0.200 | 0.200 | 0.948 | 0.785 | 0.001 | 0.201 | 0.199 | 0.944 |
NAÏVE | 0.289 | −0.555 | 0.393 | 0.391 | 0.701 | 0.802 | −0.554 | 0.390 | 0.391 | 0.707 | |
LOESS | 0.064 | −0.020 | 0.305 | 0.288 | 0.932 | 0.507 | −0.020 | 0.305 | 0.288 | 0.933 | |
PRS | 0.069 | −0.010 | 0.310 | 0.288 | 0.927 | 0.496 | −0.010 | 0.310 | 0.287 | 0.928 | |
SINE | 0.041 | 0.011 | 0.333 | 0.347 | 0.957 | 0.334 | 0.011 | 0.331 | 0.347 | 0.957 | |
100 | TRUE | 0.049 | −0.001 | 0.141 | 0.141 | 0.950 | 0.796 | −0.001 | 0.141 | 0.141 | 0.948 |
NAÏVE | 0.506 | −0.557 | 0.277 | 0.277 | 0.480 | 0.925 | −0.557 | 0.276 | 0.277 | 0.477 | |
LOESS | 0.062 | −0.021 | 0.215 | 0.203 | 0.936 | 0.531 | −0.022 | 0.213 | 0.203 | 0.935 | |
PRS | 0.066 | −0.011 | 0.219 | 0.203 | 0.932 | 0.512 | −0.011 | 0.217 | 0.203 | 0.931 | |
SINE | 0.041 | 0.009 | 0.233 | 0.244 | 0.958 | 0.340 | 0.009 | 0.232 | 0.244 | 0.960 | |
200 | TRUE | 0.052 | 0.000 | 0.100 | 0.100 | 0.948 | 0.801 | −0.001 | 0.100 | 0.100 | 0.951 |
NAÏVE | 0.804 | −0.556 | 0.197 | 0.196 | 0.193 | 0.988 | −0.553 | 0.197 | 0.196 | 0.197 | |
LOESS | 0.066 | −0.022 | 0.151 | 0.144 | 0.933 | 0.548 | −0.020 | 0.152 | 0.144 | 0.933 | |
PRS | 0.069 | −0.011 | 0.154 | 0.143 | 0.930 | 0.521 | −0.009 | 0.154 | 0.143 | 0.930 | |
SINE | 0.042 | 0.010 | 0.165 | 0.172 | 0.957 | 0.338 | 0.012 | 0.165 | 0.172 | 0.960 | |
500 | TRUE | 0.052 | 0.000 | 0.064 | 0.063 | 0.947 | 0.797 | 0.000 | 0.063 | 0.063 | 0.951 |
NAÏVE | 0.994 | −0.556 | 0.124 | 0.124 | 0.006 | 1.000 | −0.555 | 0.124 | 0.124 | 0.006 | |
LOESS | 0.067 | −0.020 | 0.095 | 0.091 | 0.933 | 0.583 | −0.021 | 0.095 | 0.091 | 0.933 | |
PRS | 0.067 | −0.010 | 0.097 | 0.091 | 0.932 | 0.537 | −0.011 | 0.096 | 0.091 | 0.932 | |
SINE | 0.042 | 0.011 | 0.104 | 0.108 | 0.958 | 0.322 | 0.012 | 0.103 | 0.108 | 0.959 |
The type I error rate under the null hypothesis;
The mean of the estimated difference minus the true difference;
The standard deviation of the estimate;
The mean estimated standard deviation of the estimate;
The empirical coverage probability;
The power under the alternative hypothesis.