Table 7 The 95% interval estimation results of \(\vartheta\).
\((n_1,n_2)\) | \((m_{1},m_{2})\) | Test | ACI | BCI | ACI | BCI | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Group-1 | Group-2 | Group-1 | Group-2 | |||||||||||
\((T_{11},T_{12},T_{21},T_{22})\rightarrow\) | (0.5, 1.0, 0.4, 0.8) | (1.0, 1.5, 0.8, 1.2) | ||||||||||||
Set-1 | ||||||||||||||
AIL | CP | AIL | CP | AIL | CP | AIL | CP | AIL | CP | AIL | CP | |||
(40,30) | (20, 10) | [1] | 1.028 | 0.929 | 0.881 | 0.943 | 0.660 | 0.963 | 0.907 | 0.940 | 0.812 | 0.949 | 0.569 | 0.971 |
[2] | 1.118 | 0.921 | 0.908 | 0.940 | 0.668 | 0.962 | 0.917 | 0.939 | 0.837 | 0.947 | 0.598 | 0.969 | ||
[3] | 1.015 | 0.931 | 0.784 | 0.952 | 0.655 | 0.964 | 0.860 | 0.945 | 0.779 | 0.952 | 0.567 | 0.972 | ||
(30, 20) | [1] | 0.933 | 0.938 | 0.741 | 0.956 | 0.597 | 0.969 | 0.845 | 0.946 | 0.677 | 0.962 | 0.535 | 0.975 | |
[2] | 0.980 | 0.934 | 0.751 | 0.955 | 0.625 | 0.966 | 0.855 | 0.945 | 0.742 | 0.956 | 0.549 | 0.973 | ||
[3] | 0.928 | 0.938 | 0.715 | 0.958 | 0.558 | 0.972 | 0.789 | 0.951 | 0.631 | 0.966 | 0.535 | 0.975 | ||
(60,50) | (30, 20) | [1] | 0.833 | 0.947 | 0.675 | 0.962 | 0.552 | 0.973 | 0.711 | 0.958 | 0.587 | 0.970 | 0.499 | 0.978 |
[2] | 0.881 | 0.943 | 0.675 | 0.962 | 0.554 | 0.973 | 0.711 | 0.958 | 0.624 | 0.966 | 0.532 | 0.975 | ||
[3] | 0.742 | 0.956 | 0.639 | 0.965 | 0.523 | 0.976 | 0.689 | 0.960 | 0.582 | 0.970 | 0.340 | 0.993 | ||
(40, 30) | [1] | 0.677 | 0.962 | 0.595 | 0.969 | 0.355 | 0.991 | 0.622 | 0.967 | 0.556 | 0.973 | 0.329 | 0.994 | |
[2] | 0.728 | 0.957 | 0.639 | 0.965 | 0.362 | 0.991 | 0.687 | 0.961 | 0.577 | 0.971 | 0.331 | 0.993 | ||
[3] | 0.666 | 0.963 | 0.567 | 0.972 | 0.355 | 0.991 | 0.600 | 0.969 | 0.538 | 0.974 | 0.320 | 0.994 | ||
(80,90) | (40, 50) | [1] | 0.569 | 0.971 | 0.514 | 0.977 | 0.323 | 0.994 | 0.559 | 0.972 | 0.498 | 0.978 | 0.317 | 0.995 |
[2] | 0.661 | 0.963 | 0.535 | 0.975 | 0.350 | 0.992 | 0.574 | 0.971 | 0.523 | 0.976 | 0.318 | 0.995 | ||
[3] | 0.558 | 0.973 | 0.496 | 0.978 | 0.319 | 0.994 | 0.526 | 0.975 | 0.445 | 0.983 | 0.307 | 0.996 | ||
(60, 70) | [1] | 0.525 | 0.976 | 0.475 | 0.980 | 0.307 | 0.996 | 0.508 | 0.977 | 0.422 | 0.985 | 0.301 | 0.996 | |
[2] | 0.531 | 0.975 | 0.490 | 0.979 | 0.314 | 0.995 | 0.516 | 0.976 | 0.424 | 0.985 | 0.306 | 0.996 | ||
[3] | 0.517 | 0.976 | 0.445 | 0.982 | 0.305 | 0.996 | 0.500 | 0.977 | 0.399 | 0.987 | 0.286 | 0.997 | ||