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. 2013 Jan 10;14(3):409–421. doi: 10.1093/biostatistics/kxs057

Table 2.

Total numbers of required participants (n) calculated from (3.2) and the corresponding empirical powers Inline graphic under a(1)=a(2), Inline graphic and ρ(1)=ρ(2). nind is corresponding to n when ρ(1)=ρ(2)=0.

Clayton
Gumbel
Frank
Marginal
Inline graphic Inline graphic Inline graphic ρ(k) nsim n Inline graphic nsim n Inline graphic nsim n Inline graphic Inline graphic Inline graphic
0.1 1.2 1.2 0.0 1540 1544 80.1 1540 1544 80.1 1540 1544 80.1 1174 64.3
0.1 1.2 1.3 0.0 1215 1220 80.2 1215 1220 80.2 1215 1220 80.2 1174 78.6
0.1 1.2 1.5 0.0 1173 1174 80.1 1173 1174 80.1 1173 1174 80.1 1174 80.2
0.1 1.2 1.2 0.3 1511 1516 80.2 1498 1502 80.1 1494 1498 80.4 1174 66.9
0.1 1.2 1.3 0.3 1207 1210 80.3 1205 1206 80.1 1203 1206 80.2 1174 79.1
0.1 1.2 1.5 0.3 1173 1174 80.3 1174 1174 80.1 1173 1174 80.3 1174 80.2
0.1 1.2 1.2 0.5 1486 1488 80.2 1458 1462 80.2 1451 1452 80.2 1174 68.9
0.1 1.2 1.3 0.5 1199 1202 80.3 1195 1194 80.0 1190 1192 80.3 1174 79.5
0.1 1.2 1.5 0.5 1173 1174 80.3 1174 1174 80.1 1173 1174 80.3 1174 80.2
0.1 1.2 1.2 0.8 1409 1410 80.0 1371 1374 80.3 1336 1340 80.4 1174 73.0
0.1 1.2 1.3 0.8 1182 1184 80.4 1176 1178 80.2 1174 1176 80.2 1174 79.9
0.1 1.2 1.5 0.8 1173 1174 80.3 1174 1174 80.1 1173 1174 80.3 1174 80.2
0.1 1.5 1.5 0.0 328 334 81.1 328 334 81.1 328 334 81.1 253 65.2
0.1 1.5 1.6 0.0 290 296 81.1 290 296 81.1 290 296 81.1 253 72.8
0.1 1.5 1.8 0.0 259 264 80.8 259 264 80.8 259 264 80.8 253 79.1
0.1 1.5 1.5 0.3 322 328 81.0 319 324 80.9 318 324 81.0 253 67.6
0.1 1.5 1.6 0.3 286 292 81.0 283 288 81.1 283 288 81.0 253 74.5
0.1 1.5 1.8 0.3 257 262 80.9 257 262 81.0 256 262 81.1 253 79.6
0.1 1.5 1.5 0.5 317 322 80.9 311 316 80.8 310 314 80.9 253 69.5
0.1 1.5 1.6 0.5 281 286 80.8 276 282 81.0 275 280 80.8 253 75.8
0.1 1.5 1.8 0.5 255 260 80.8 253 258 80.7 253 258 80.8 253 80.0
0.1 1.5 1.5 0.8 302 306 80.7 293 298 81.0 284 290 81.0 253 73.5
0.1 1.5 1.6 0.8 270 274 80.7 264 268 80.9 257 262 80.7 253 78.4
0.1 1.5 1.8 0.8 252 256 80.7 251 254 80.7 250 254 80.8 253 80.5
0.5 1.2 1.2 0.0 3141 3144 80.2 3141 3144 80.2 3141 3144 80.2 2392 78.3
0.5 1.2 1.3 0.0 2487 2490 80.1 2487 2490 80.1 2487 2490 80.1 2392 80.1
0.5 1.2 1.5 0.0 2389 2394 80.2 2389 2394 80.2 2389 2394 80.2 2392 66.3
0.5 1.2 1.2 0.3 3113 3116 80.1 3049 3052 80.0 3060 3062 80.1 2392 74.7
0.5 1.2 1.3 0.3 2478 2480 80.1 2459 2458 79.9 2462 2462 80.1 2392 79.7
0.5 1.2 1.5 0.3 2393 2394 80.2 2395 2394 79.9 2393 2394 80.1 2392 71.8
0.5 1.2 1.2 0.5 3090 3092 80.1 2969 2972 80.0 2979 2978 79.9 2392 75.7
0.5 1.2 1.3 0.5 2472 2472 80.0 2432 2434 80.1 2436 2436 80.1 2392 79.9
0.5 1.2 1.5 0.5 2393 2394 80.1 2390 2392 80.0 2391 2392 80.2 2392 73.6
0.5 1.2 1.2 0.8 3009 3014 80.1 2811 2812 80.0 2755 2760 80.0 2392 77.5
0.5 1.2 1.3 0.8 2445 2446 80.0 2402 2402 80.0 2390 2398 80.2 2392 80.1
0.5 1.2 1.5 0.8 2391 2392 80.2 2392 2392 80.0 2391 2392 80.2 2392 69.5
0.5 1.5 1.5 0.0 692 700 80.7 692 700 80.7 692 700 80.7 532 64.6
0.5 1.5 1.6 0.0 614 622 80.5 614 622 80.5 614 622 80.5 532 72.0
0.5 1.5 1.8 0.0 550 558 80.7 550 558 80.7 550 558 80.7 532 78.4
0.5 1.5 1.5 0.3 687 694 80.7 672 680 80.7 675 682 80.7 532 66.7
0.5 1.5 1.6 0.3 612 618 80.6 602 606 80.6 601 608 80.5 532 73.4
0.5 1.5 1.8 0.3 549 556 80.5 543 550 80.7 544 550 80.7 532 78.9
0.5 1.5 1.5 0.5 681 688 80.5 653 662 80.6 660 664 80.8 532 68.3
0.5 1.5 1.6 0.5 608 614 80.6 585 592 80.5 587 594 80.6 532 74.5
0.5 1.5 1.8 0.5 547 554 80.5 537 544 80.5 539 544 80.4 532 79.2
0.5 1.5 1.5 0.8 665 672 80.5 619 626 80.4 613 616 80.4 532 71.7
0.5 1.5 1.6 0.8 594 600 80.4 560 566 80.5 556 558 80.3 532 76.9
0.5 1.5 1.8 0.8 541 548 80.5 531 536 80.7 529 534 80.2 532 79.9