Table 3.
Power performance of the proposed tests at 0.05 nominal significance level using the parameter in Table three, Troendle et al. [19]and n = 500
|
Sample size |
p |
Disease model |
Model |
|
TDT |
zcom |
||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| s | n | m | Model | (ψ1,ψ2) | Dom | Rec | Mult | Unr | Add | |||
| |
|
|
|
Dom |
(1.5, 1.5) |
0.91984 |
0.05494 |
0.59684 |
0.86250 |
0.67998 |
|
0.38389 |
| |
|
125 |
0.5 |
Rec |
(1.0, 1.45) |
0.04830 |
0.91488 |
0.68434 |
0.85930 |
0.61349 |
|
0.46383 |
| |
|
Mult |
(1.3, 1.69) |
0.54475 |
0.63588 |
0.88638 |
0.81607 |
0.88395 |
|
0.67525 |
||
| 0 |
500 |
|
|
Unr |
(0.82, 1.22) |
0.40678 |
0.94369 |
0.28652 |
0.95067 |
0.19831 |
|
0.19157 |
| |
|
Dom |
(1.5, 1.5) |
0.86469 |
0.05501∗ |
0.53494 |
0.78362 |
0.61161 |
0.53133 |
|
||
| |
|
0 |
0.5 |
Rec |
(1.0, 1.45) |
0.04868∗ |
0.86048 |
0.62189 |
0.78284 |
0.54995 |
0.61559 |
|
| |
|
Mult |
(1.3, 1.69) |
0.50217∗ |
0.58591∗ |
0.83504 |
0.74791 |
0.82951 |
0.83316 |
|
||
| |
|
|
|
Unr |
(0.82, 1.22) |
0.30751 |
0.88989 |
0.25717 |
0.89710 |
0.18219 |
0.25521 |
|
| |
|
|
|
Dom |
(1.5, 1.5) |
0.93417 |
0.05975 |
0.61089 |
0.88359 |
0.69680 |
|
|
| |
|
125 |
0.5 |
Rec |
(1.0, 1.45) |
0.04970 |
0.93022 |
0.70132 |
0.87754 |
0.62959 |
|
|
| |
|
Mult |
(1.3, 1.69) |
0.55266 |
0.64473 |
0.89571 |
0.83059 |
0.89378 |
|
|
||
| 50 |
500 |
|
|
Unr |
(0.82, 1.22) |
0.46190 |
0.95843 |
0.29617 |
0.96292 |
0.20571 |
|
|
| |
|
Dom |
(1.5, 1.5) |
0.88543 |
0.05450 |
0.55038 |
0.81938 |
0.63176 |
|
|
||
| |
|
0 |
0.5 |
Rec |
(1.0, 1.45) |
0.04813 |
0.88221 |
0.63748 |
0.81229 |
0.56987 |
|
|
| |
|
Mult |
(1.3, 1.69) |
0.50941 |
0.59514 |
0.85057 |
0.77031 |
0.84857 |
|
|
||
| |
|
|
|
Unr |
(0.82, 1.22) |
0.35793 |
0.91611 |
0.26407 |
0.92113 |
0.18285 |
|
|
| |
|
|
|
Dom |
(1.45, 1.45) |
0.91663 |
0.05581 |
0.82275 |
0.85564 |
0.85475 |
|
0.59268 |
| |
|
125 |
0.2 |
Rec |
(1.0, 2.0) |
0.04455 |
0.94790 |
0.44326 |
0.90851 |
0.34805 |
|
0.28523 |
| |
|
Mult |
(1.35, 1.82) |
0.74330 |
0.29700 |
0.86030 |
0.77766 |
0.85735 |
|
0.63475 |
||
| 0 |
500 |
|
|
Unr |
(0.73, 1.37) |
0.75736 |
0.83819 |
0.16262 |
0.95415 |
0.09838 |
|
0.11611 |
| |
|
Dom |
(1.45, 1.45) |
0.86430 |
0.05206∗ |
0.76184 |
0.78832 |
0.79620 |
0.76041 |
|
||
| |
|
0 |
0.2 |
Rec |
(1.0, 2.0) |
0.04254∗ |
0.90108 |
0.39325 |
0.84045 |
0.30808 |
0.38860 |
|
| |
|
Mult |
(1.35, 1.82) |
0.67838∗ |
0.27300∗ |
0.79869 |
0.70763 |
0.79626 |
0.79935 |
|
||
| |
|
|
|
Unr |
(0.73, 1.37) |
0.65414 |
0.73828 |
0.14995 |
0.90150 |
0.09179 |
0.14809 |
|
| |
|
|
|
Dom |
(1.45, 1.45) |
0.92776 |
0.05929 |
0.83556 |
0.87192 |
0.86570 |
|
|
| |
|
125 |
0.2 |
Rec |
(1.0, 2.0) |
0.04580 |
0.95984 |
0.45325 |
0.92594 |
0.35732 |
|
|
| |
|
Mult |
(1.35, 1.82) |
0.75081 |
0.29775 |
0.86878 |
0.79374 |
0.86823 |
|
|
||
| 50 |
500 |
|
|
Unr |
(0.73, 1.37) |
0.79247 |
0.87274 |
0.17039 |
0.96622 |
0.09941 |
|
|
| |
|
Dom |
(1.45, 1.45) |
0.88237 |
0.05344 |
0.78154 |
0.81038 |
0.81656 |
|
|
||
| |
|
0 |
0.2 |
Rec |
(1.0, 2.0) |
0.04352 |
0.92016 |
0.40450 |
0.87014 |
0.31454 |
|
|
| |
|
Mult |
(1.35, 1.82) |
0.69361 |
0.27258 |
0.81773 |
0.72982 |
0.81359 |
|
|
||
| |
|
|
|
Unr |
(0.73, 1.37) |
0.69897 |
0.78788 |
0.15242 |
0.92672 |
0.09045 |
|
|
| |
|
|
|
Dom |
(1.45, 1.45) |
0.54540 |
0.01899 |
0.51668 |
0.41742 |
0.53330 |
|
0.32711 |
| |
|
125 |
0.05 |
Rec |
(1.0, 2.0) |
0.04787 |
0.19369 |
0.06095 |
0.15167 |
0.04953 |
|
0.05595 |
| |
|
Mult |
(1.35, 1.82) |
0.37363 |
0.06127 |
0.39755 |
0.30298 |
0.39613 |
|
0.25117 |
||
| 0 |
500 |
|
|
Unr |
(0.73, 1.37) |
0.32954 |
0.14447 |
0.25594 |
0.32487 |
0.23685 |
|
0.16860 |
| |
|
Dom |
(1.45, 1.45) |
0.47895 |
0.02234 |
0.45528 |
0.35409 |
0.46737 |
0.45051 |
|
||
| |
|
0 |
0.05 |
Rec |
(1.0, 2.0) |
0.04759 |
0.17392 |
0.06026 |
0.13605 |
0.04958 |
0.05914 |
|
| |
|
Mult |
(1.35, 1.82) |
0.32514 |
0.06317 |
0.34478 |
0.26105 |
0.34585 |
0.34717 |
|
||
| |
|
|
|
Unr |
(0.73, 1.37) |
0.28430 |
0.12649 |
0.22702 |
0.27964 |
0.20895 |
0.22606 |
|
| |
|
|
|
Dom |
(1.45, 1.45) |
0.55918 |
0.01811 |
0.53173 |
0.43260 |
0.54426 |
|
|
| |
|
125 |
0.05 |
Rec |
(1.0, 2.0) |
0.04848 |
0.20376 |
0.06147 |
0.15963 |
0.04985 |
|
|
| |
|
Mult |
(1.35, 1.82) |
0.38246 |
0.06150 |
0.41190 |
0.31308 |
0.40672 |
|
|
||
| 50 |
500 |
|
|
Unr |
(0.73, 1.37) |
0.34311 |
0.14948 |
0.27061 |
0.34266 |
0.22740 |
|
|
| |
|
Dom |
(1.45, 1.45) |
0.49431 |
0.02036 |
0.46935 |
0.36889 |
0.48220 |
|
|
||
| |
|
0 |
0.05 |
Rec |
(1.0, 2.0) |
0.04777 |
0.17937 |
0.06071 |
0.14178 |
0.05204 |
|
|
| |
|
Mult |
(1.35, 1.82) |
0.33955 |
0.06127 |
0.36054 |
0.26850 |
0.35641 |
|
|
||
| Unr | (0.73, 1.37) | 0.29572 | 0.13457 | 0.23367 | 0.29240 | 0.20284 | ||||||
∗ indicates entry that is slightly lower than the corresponding entry of Table three, Troendle et al. [19].