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. Author manuscript; available in PMC: 2010 Dec 7.
Published in final edited form as: Biometrics. 2009 Apr 13;66(1):30–38. doi: 10.1111/j.1541-0420.2009.01243.x

Table 2.

Size of the tests, and power ratio over the logrank test of these tests, with various sample sizes and censoring proportions, based on 1000 simulations.

(a) n1 = n2 = 40, 10% censoring
CH CH2 LRAD LRAD2 MX MXAD MXB MXBAD χ2
N 0.2550 0.1780 0.0910 0.0550 0.0580 0.0620 0.0580 0.0720 0.0550
PR+ 1.6192 1.4136 1.1495 1.0421 0.9346 1.0140 0.7874 0.8224 0.8248
PR− 1.6514 1.4663 1.1514 1.0240 0.9183 0.9591 0.7668 0.8558 0.7740
S0L+ 1.7531 1.5586 1.2943 1.1347 1.1721 1.1771 0.9401 1.0224 1.0299
S0L− 1.9278 1.7139 1.4588 1.2887 1.3995 1.3634 1.0876 1.2062 1.2088
S+L0 1.5938 1.4040 1.1722 1.0508 0.8190 1.0000 0.8499 0.9051 0.8852
S−L0 1.6731 1.5206 1.2397 1.1525 0.8692 1.0823 0.8886 1.0097 0.9443
S−L+ 2.2868 2.1845 2.2768 2.1471 2.1197 2.2170 2.1820 2.3566 2.2668
S+L− 1.7722 1.6291 1.4881 1.3015 0.8807 1.3102 1.2863 1.4078 1.4100
U 1.9237 1.7099 1.4122 1.2468 0.8372 1.2010 0.8244 1.1170 0.8473
(b) n1 = n2 = 40, 50% censoring
CH CH2 LRAD LRAD2 MX MXAD MXB MXBAD χ2
N 0.2260 0.1480 0.0810 0.0580 0.0540 0.0540 0.0570 0.0530 0.0550
PR+ 2.0352 1.6652 1.1674 0.9956 0.9648 1.0132 0.8722 0.8546 0.8590
PR− 1.8764 1.5491 1.1091 0.9927 0.8945 0.9418 0.7527 0.7891 0.7236
S0L+ 2.5349 1.8760 1.3023 1.0465 1.1085 1.1008 0.9147 0.9225 0.8682
S0L− 3.2059 2.4020 1.3235 1.0882 1.0490 1.1373 0.9706 1.1078 0.9706
S+L0 1.6518 1.4005 1.1466 0.9921 0.8953 0.9634 0.7984 0.8115 0.8377
S−L0 1.6053 1.4189 1.2010 1.0678 0.8789 0.9903 0.8644 0.8838 0.8208
S−L+ 7.7500 5.3036 8.4821 6.1250 2.4821 6.4821 7.9643 10.3929 7.8929
S+L− 1.2613 1.1446 1.0886 0.9969 0.9176 0.9767 0.8538 0.8507 0.8554
U 1.6224 1.4709 1.2890 1.1585 0.8625 1.1072 1.1352 1.1538 1.2541
(c) n1 = n2 = 80, 10% censoring
CH CH2 LRAD LRAD2 MX MXAD MXB MXBAD χ2
N 0.1820 0.1290 0.0580 0.0410 0.0380 0.0410 0.0530 0.0530 0.0400
PR+ 1.2878 1.2267 1.0858 1.0334 0.9753 0.9971 0.8779 0.8997 0.8779
PR− 1.2518 1.1892 1.0612 1.0256 0.9616 0.9915 0.8634 0.8947 0.8734
S0L+ 1.3261 1.2606 1.1601 1.0932 1.1325 1.1179 0.9520 1.0087 1.0175
S0L− 1.3271 1.2808 1.2214 1.1621 1.2171 1.2084 1.0434 1.1259 1.1505
S+L0 1.2718 1.2366 1.1338 1.0789 0.9141 1.0254 0.9225 0.9648 0.9563
S−L0 1.3023 1.2493 1.1318 1.0917 0.9155 1.0444 0.9427 1.0014 0.9771
S−L+ 1.4807 1.4777 1.4792 1.4763 1.4763 1.4792 1.4733 1.4807 1.4822
S+L− 1.3469 1.3357 1.2993 1.2448 0.9245 1.2392 1.2196 1.2713 1.3035
U 1.3506 1.3147 1.1911 1.1365 0.9037 1.0991 0.8750 1.0302 0.8635
(d) n1 = n2 = 80, 50% censoring
CH CH2 LRAD LRAD2 MX MXAD MXB MXBAD χ2
N 0.2040 0.1460 0.0550 0.0470 0.0380 0.0390 0.0440 0.0470 0.0400
PR+ 1.6726 1.4772 1.1193 1.0228 0.9365 0.9772 0.7868 0.7868 0.7868
PR− 1.5886 1.4464 1.1160 1.0438 0.9606 0.9847 0.8359 0.8643 0.8074
S0L+ 2.4121 1.9286 1.3242 1.1099 1.2527 1.2253 0.8901 1.0330 0.9725
S0L− 2.4260 1.9704 1.2071 1.0355 1.1479 1.1538 0.9408 0.9941 0.9112
S+L0 1.3245 1.2429 1.0690 0.9984 0.9044 0.9592 0.8636 0.8652 0.8401
S−L0 1.2403 1.1861 1.0833 1.0403 0.8986 0.9986 0.8806 0.9222 0.8819
S−L+ 11.4500 9.2333 11.7167 10.0000 4.2833 10.4333 13.3000 14.3333 13.2500
S+L− 1.0714 1.0593 1.0241 1.0011 0.9627 0.9824 0.9396 0.9418 0.9440
U 1.2921 1.2486 1.2008 1.1334 0.9031 1.1053 1.0913 1.1278 1.1882