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. 2024 Oct 15;19(10):e0311850. doi: 10.1371/journal.pone.0311850

Table 4. The empirical coverage probability (ECP) and the mean interval width (MIW) of 95% CI for proportion ratio (g = 4).

ρ,π,m Wald-Bonferroni Wald-Sidak Wald-Dunnet
ECP MIW ECP MIW ECP MIW
0.3 a I 0.9632 1.0088 0.9417 0.9368 0.9571 0.9875
II 0.9659 1.1546 0.9476 1.0707 0.9555 1.0992
b I 0.9654 2.2043 0.9484 2.0467 0.9571 2.1262
II 0.9724 2.6947 0.9594 2.5069 0.9623 2.5233
III 0.9712 2.6441 0.9535 2.4566 0.9576 2.4446
0.5 a I 0.9639 1.0981 0.9441 1.0189 0.9589 1.0745
II 0.9648 1.2620 0.9503 1.1691 0.9556 1.2001
b I 0.9679 2.4001 0.9486 2.2298 0.9598 2.3169
II 0.9730 2.8915 0.9583 2.7005 0.9607 2.7212
III 0.9683 2.8376 0.9557 2.6435 0.9524 2.6327
0.7 a I 0.9689 1.1838 0.9477 1.0975 0.9623 1.1578
II 0.9673 1.3687 0.9526 1.2670 0.9588 1.3004
b I 0.9702 2.5835 0.9506 2.4002 0.9617 2.4916
II 0.9713 3.0647 0.9591 2.8643 0.9606 2.8860
III 0.9693 3.0029 0.9575 2.7802 0.9540 2.7847
ρ,π,m Profile-Bonferroni Profile-Sidak Profile-Dunnet
ECP MIW ECP MIW ECP MIW
0.3 a I 0.9551 1.0328 0.9646 1.0803 0.9496 1.0100
II 0.9539 1.2366 0.9606 1.2997 0.9387 1.1600
b I 0.9575 2.3173 0.9674 2.4291 0.9487 2.2249
II 0.9657 2.9145 0.9729 3.0552 0.9508 2.7300
III 0.9631 2.8617 0.9671 2.9897 0.9468 2.6504
0.5 a I 0.9543 1.1270 0.9641 1.1798 0.9491 1.1015
II 0.9482 1.3615 0.9600 1.4340 0.9336 1.2834
b I 0.9595 2.5194 0.9688 2.6395 0.9498 2.4234
II 0.9639 3.1285 0.9720 3.2662 0.9514 2.9301
III 0.9547 3.0884 0.9625 3.2011 0.9383 2.8308
0.7 a I 0.9569 1.2189 0.9669 1.2769 0.9506 1.1905
II 0.9488 1.4926 0.9628 1.5742 0.9369 1.4047
b I 0.9587 2.7223 0.9682 2.8468 0.9478 2.6213
II 0.9609 3.2946 0.9671 3.4351 0.9422 3.1173
III 0.9467 3.2144 0.9538 3.3409 0.9310 3.0552
ρ,π,m Score-Bonferroni Score-Sidak Score-Dunnet
ECP MIW ECP MIW ECP MIW
0.3 a I 0.9568 1.0155 0.9667 1.0604 0.9514 0.9938
II 0.9610 1.1928 0.9698 1.2490 0.9497 1.1329
b I 0.9588 2.2174 0.9692 2.3175 0.9500 2.1387
II 0.9714 2.7438 0.9788 2.8645 0.9572 2.5690
III 0.9705 2.6988 0.9758 2.8097 0.9541 2.4823
0.5 a I 0.9564 1.1033 0.9661 1.1525 0.9506 1.0795
II 0.9634 1.3038 0.9711 1.3658 0.9515 1.2371
b I 0.9608 2.4036 0.9702 2.5079 0.9514 2.3198
II 0.9712 2.9329 0.9771 3.0464 0.9586 2.7590
III 0.9686 2.8768 0.9764 2.9656 0.9503 2.6843
0.7 a I 0.9578 1.1863 0.9687 1.2394 0.9533 1.1603
II 0.9633 1.4088 0.9715 1.4763 0.9530 1.3373
b I 0.9594 2.5762 0.9694 2.6903 0.9498 2.4867
II 0.9676 3.0907 0.9743 3.2139 0.9518 2.9080
III 0.9660 3.0436 0.9756 3.1695 0.9492 2.8051

a: π = (0.4,0.4,0.4,0.4); b: π = (0.25,0.375,0.425,0.5).

I: m = (50,50,50,50); II: m = (30,50,80,100); III: m = (30,50,100,500).