Table 2. Estimation of log hazard indirect effects: αkβk.
| (αk,βk) = αkβk | Estimation | Cen = 15% | Cen = 25% | Cen = 35% | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| n = 300 | n = 500 | n = 1000 | n = 300 | n = 500 | n = 1000 | n = 300 | n = 500 | n = 1000 | ||
| (0.5,0.55) = 0.275 | Est. CP Emp. SE Est. SE |
0.2952 0.9238 0.0855 0.0794 |
0.2794 0.9220 0.0642 0.0584 |
0.2753 0.9360 0.0425 0.0405 |
0.2954 0.9173 0.0874 0.0805 |
0.2794 0.9400 0.0658 0.0590 |
0.2758 0.9320 0.0430 0.0410 |
0.2956 0.9004 0.0935 0.0815 |
0.2801 0.9420 0.0670 0.0600 |
0.2764 0.9360 0.0435 0.0416 |
| (0.45,0.6) = 0.27 | Est. CP Emp. SE Est. SE |
0.2916 0.9300 0.0892 0.0825 |
0.2806 0.9480 0.0616 0.0622 |
0.2716 0.9600 0.0417 0.0428 |
0.2930 0.9120 0.0954 0.0837 |
0.2821 0.9520 0.0636 0.0630 |
0.2717 0.9680 0.0419 0.0432 |
0.2930 0.9151 0.0981 0.0846 |
0.2827 0.9500 0.0647 0.0638 |
0.2719 0.9600 0.0424 0.0436 |
| (0.5,0.65) = 0.325 | Est. CP Emp. SE Est. SE |
0.3443 0.9358 0.0936 0.0902 |
0.3343 0.9380 0.0701 0.0677 |
0.3300 0.9600 0.0459 0.0467 |
0.3445 0.9196 0.0970 0.0912 |
0.3341 0.9380 0.0698 0.0683 |
0.3305 0.9480 0.0467 0.0472 |
0.3436 0.9295 0.0973 0.0921 |
0.3347 0.9480 0.0704 0.0692 |
0.3311 0.9520 0.0473 0.0477 |
| (0.4,0.7) = 0.28 | Est. CP Emp. SE Est. SE |
0.2975 0.9440 0.0959 0.0936 |
0.2889 0.9780 0.0641 0.0699 |
0.2813 0.9420 0.0479 0.0483 |
0.2978 0.9400 0.0990 0.0942 |
0.2897 0.9720 0.0654 0.0705 |
0.2814 0.9460 0.0483 0.0486 |
0.2982 0.9320 0.0988 0.0952 |
0.2896 0.9740 0.0664 0.0710 |
0.2815 0.9380 0.0485 0.0489 |
| (0.45,0) = 0 | Est. CP |
0.0078 0.5714 |
- - |
- - |
0.0167 0.3157 |
0.0514 0 |
- - |
0.0098 0.5384 |
0.0143 0 |
- - |
| (0.45,0) = 0 | Est. CP |
0.0327 0.1538 |
-0.0478 0 |
- - |
0.0393 0.2142 |
0.0860 0 |
- - |
0.0128 0.4736 |
-0.0485 0.5000 |
- - |
| (0,0.5) = 0 | Est. CP |
-0.0043 0.9621 |
0.0024 0.9620 |
0.0009 0.9520 |
-0.0051 0.9620 |
0.0024 0.9674 |
0.0009 0.9520 |
-0.0043 0.9631 |
0.0027 0.9708 |
0.0009 0.9520 |
| (0,0.5) = 0 | Est. CP |
-0.0013 0.9656 |
0.0011 0.9440 |
0.0035 0.9540 |
-0.0013 0.9661 |
0.0012 0.9433 |
0.0035 0.9540 |
-0.0006 0.9629 |
0.0008 0.9445 |
0.0035 0.9540 |
| (0,0) = 0 | Est. CP |
0.0382 1 |
- - |
- - |
0.0930 1 |
- - |
- - |
0.0621 1 |
- - |
- - |
| (0,0) = 0 | Est. CP |
-0.0027 1 |
- - |
- - |
-0.0136 1 |
- - |
- - |
-0.0737 1 |
- - |
- - |
*Est.: the mean of estimators; CP: coverage probability, the proportion of the replicates that the 95% confidence interval covers the true value of estimate; Emp. SE: empirical standard error calculated as the sample standard deviation of the estimates over all replicates; Est. SE: the average of the standard errors over all replicates;—means the not available value.