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Table 2 A-B - Simulation results under H 1 of the multivariate permutation (two-sided) Fisher (A) and Tippett (B) tests

From: Multivariate permutation test to compare survival curves for matched data

Scenario* Strata effect (w) N. of Strata (k) TSi 1 TLSi 1
    4 fixed 8 fixed perc all 4 fixed 8 fixed perc all
A) Fisher test
PH 0 30 0. 734 0. 723 0.627 0.592 0. 744 0. 737 0.673 0.651
  0 50 0. 911 0. 906 0.854 0.822 0. 909 0. 906 0.871 0.847
  0 100 0. 998 0. 996 0.993 0.968 0. 997 0. 996 0.993 0.978
  0.22 30 0. 692 0. 691 0.606 0.578 0. 706 0. 720 0.658 0.638
  0.22 50 0. 882 0. 873 0.816 0.795 0. 888 0. 887 0.839 0.831
  0.22 100 0. 995 0. 995 0.983 0.978 0. 997 0. 995 0.985 0.981
ED 0 30 0.274 0.274 0.414 0.432 0.302 0.297 0. 514 0.534
  0 50 0.406 0.408 0.622 0.641 0.443 0.452 0. 682 0. 699
  0 100 0.730 0.746 0.916 0.927 0.760 0.770 0. 939 0. 937
  0.22 30 0.240 0.252 0.376 0.409 0.267 0.285 0. 470 0. 488
  0.22 50 0.387 0.252 0.616 0.632 0.423 0.285 0. 671 0.682
  0.22 100 0.710 0.727 0.894 0.902 0.739 0.753 0. 924 0. 929
LD 0 30 0. 425 0. 408 0.278 0.247 0.408 0. 400 0.298 0.266
  0 50 0. 674 0. 642 0.464 0.392 0. 648 0. 627 0.470 0.406
  0 100 0. 949 0. 937 0.802 0.749 0. 940 0. 928 0.796 0.691
  0.22 30 0. 399 0.369 0.243 0.209 0. 387 0. 373 0.273 0.245
  0.22 50 0. 626 0. 590 0.414 0.359 0. 620 0. 587 0.440 0.384
  0.22 100 0. 910 0. 890 0.740 0.712 0. 908 0. 888 0.751 0.725
CH 0 30 0.144 0.165 0.285 0.272 0.079 0.078 0.115 0.099
  0 50 0.291 0.321 0.488 0.461 0.162 0.148 0.229 0.207
  0 100 0.747 0.799 0.897 0.881 0.560 0.596 0.746 0.729
  0.22 30 0.149 0.181 0.273 0.248 0.087 0.089 0.111 0.105
  0.22 50 0.292 0.319 0.477 0.419 0.178 0.161 0.237 0.207
  0.22 100 0.736 0.794 0.878 0.844 0.575 0.589 0.744 0.668
B) Tippett test
PH 0 30 0.685 0.666 0.586 0.605 0.676 0.654 0.674 0.677
  0 50 0.874 0.866 0.828 0.807 0.878 0.869 0.856 0.875
  0 100 0.996 0.995 0.991 0.979 0.996 0.994 0.992 0.996
  0.22 30 0.646 0.632 0.567 0.572 0.657 0.663 0.659 0.684
  0.22 50 0.834 0.826 0.768 0.766 0.850 0.831 0.816 0.814
  0.22 100 0.992 0.990 0.976 0.975 0.993 0.990 0.982 0.979
ED 0 30 0.393 0.369 0.351 0.384 0.458 0.458 0. 531 0. 596
  0 50 0.615 0.571 0.579 0.597 0.661 0.646 0. 679 0. 708
  0 100 0.906 0.910 0.904 0.914 0.920 0.924 0. 937 0. 942
  0.22 30 0.369 0.343 0.347 0.365 0.429 0.422 0. 501 0. 544
  0.22 50 0.597 0.343 0.560 0.589 0.652 0.422 0.676 0. 699
  0.22 100 0.887 0.877 0.896 0.897 0.910 0.901 0.923 0. 925
LD 0 30 0. 472 0. 458 0.392 0.383 0. 438 0. 442 0.398 0.400
  0 50 0.730 0. 718 0.644 0.632 0. 688 0. 683 0.634 0.615
  0 100 0.963 0.957 0.926 0.914 0. 956 0. 950 0.920 0.918
  0.22 30 0. 425 0.397 0.342 0.318 0. 411 0. 393 0.363 0.361
  0.22 50 0. 660 0. 650 0.572 0.567 0. 658 0. 634 0.584 0.566
  0.22 100 0. 930 0. 924 0.871 0.864 0. 927 0. 920 0.874 0.858
CH 0 30 0.356 0.418 0. 475 0.521 0.183 0.155 0.191 0.163
  0 50 0.584 0.636 0. 700 0. 729 0.380 0.335 0.374 0.347
  0 100 0.920 0.931 0. 951 0. 971 0.854 0.842 0.851 0.848
  0.22 30 0.335 0.399 0. 433 0. 484 0.176 0.165 0.185 0.163
  0.22 50 0.560 0.626 0. 663 0. 722 0.408 0.358 0.385 0.348
  0.22 100 0.887 0.921 0. 953 0. 963 0.830 0.806 0.850 0.836
  1. * PH=Proportional Hazards, ED=Early Difference, LD=Late Difference, CH=Crossing Hazards
  2. The simulations are based on first order statistics TSi 1 or TLSi 1 under different scenarios and for different choices of time points (4 or 8 fixed or 9 points at 10-90th percentiles (perc) or 80% of all the observed event times (all)). In the body of the table, values in bold identify the strongest results.