Larynx Example, Stages 1 and 4 t c c i n n n n m h m d d l l t t v v v d e 1 2 1 2 c s c a t v 0.1 0 1 33 13 0.71739 0.71739 0.20274 0.2027 0.00004 0.00592 0.3 0 1 33 12 0.73333 1.45072 0.19556 0.3983 0.00021 0.01286 0.4 0 1 33 11 0.75000 2.20072 0.18750 0.5858 0.00073 0.02113 0.6 1 0 33 10 -0.23256 1.96817 0.17847 0.7642 0.00078 0.02204 0.8 0 2 32 10 1.52381 3.49198 0.35396 1.1182 0.01495 0.10204 1.0 0 1 32 8 0.80000 4.29198 0.16000 1.2782 0.01961 0.11767 1.3 1 0 32 7 -0.17949 4.11249 0.14727 1.4255 0.01986 0.11865 1.5 0 1 31 7 0.81579 4.92828 0.15028 1.5757 0.02869 0.13905 2.0 0 1 31 6 0.83784 5.76612 0.13587 1.7116 0.04755 0.16683 2.3 0 1 31 5 0.86111 6.62723 0.11960 1.8312 0.08951 0.20683 2.4 1 0 31 4 -0.11429 6.51294 0.10122 1.9324 0.09053 0.20787 3.2 1 0 29 3 -0.09375 6.41919 0.08496 2.0174 0.09162 0.20906 3.3 1 0 27 3 -0.10000 6.31919 0.09000 2.1074 0.09278 0.21043 3.5 2 0 25 3 -0.21429 6.10491 0.18424 2.2916 0.10182 0.22323 3.6 0 1 23 3 0.88462 6.98952 0.10207 2.3937 0.25488 0.33434 3.8 0 1 23 2 0.92000 7.90952 0.07360 2.4673 0.95519 0.58434 4.0 2 0 23 1 -0.08333 7.82619 0.07639 2.5437 0.99327 0.59947 4.3 1 0 21 1 -0.04545 7.78073 0.04339 2.5871 0.99864 0.60173 5.3 1 0 18 0 0.00000 7.78073 0.00000 2.5871 1.00543 0.60482 6.0 1 0 14 0 0.00000 7.78073 0.00000 2.5871 1.01561 0.60992 6.4 1 0 11 0 0.00000 7.78073 0.00000 2.5871 1.03003 0.61819 6.5 1 0 10 0 0.00000 7.78073 0.00000 2.5871 1.04495 0.62819 7.4 1 0 6 0 0.00000 7.78073 0.00000 2.5871 1.07584 0.65597 mts mats cmvt 4.91747 4.91747 2.50026 Larynx Example, Artificial Variable t c c i n n n n m h m d d l l t t v v v d e 1 2 1 2 c s c a t v 0.1 1 0 22 24 -0.5217 -0.5217 0.24953 0.2495 0.000004 0.00207 0.3 1 0 21 24 -0.5333 -1.0550 0.24889 0.4984 0.000024 0.00433 0.4 1 0 20 24 -0.5454 -1.6005 0.24793 0.7463 0.000075 0.00683 0.6 1 0 19 24 -0.5581 -2.1586 0.24662 0.9929 0.000181 0.00960 0.8 2 0 18 24 -1.1428 -3.3015 0.47785 1.4708 0.002506 0.03430 1.0 0 1 16 24 0.4000 -2.9015 0.24000 1.7108 0.002628 0.03603 1.3 0 1 16 23 0.4102 -2.4912 0.24195 1.9527 0.002720 0.03792 1.5 0 1 16 22 0.4210 -2.0702 0.24377 2.1965 0.002785 0.03999 2.0 0 1 16 21 0.4324 -1.6377 0.24543 2.4419 0.002822 0.04226 2.3 0 1 16 20 0.4444 -1.1933 0.24691 2.6888 0.002838 0.04476 2.4 0 1 16 19 0.4571 -0.7361 0.24816 2.9370 0.002839 0.04753 3.2 0 1 14 18 0.4375 -0.2986 0.24609 3.1831 0.002842 0.05061 3.3 0 1 13 17 0.4333 0.1346 0.24556 3.4286 0.002869 0.05407 3.5 0 2 12 16 0.8571 0.9917 0.47166 3.9003 0.004292 0.08532 3.6 0 1 12 14 0.4615 1.4533 0.24852 4.1488 0.004706 0.09042 3.8 0 1 12 13 0.4800 1.9333 0.24960 4.3984 0.005481 0.09634 4.0 0 2 12 12 1.0000 2.9333 0.47826 4.8767 0.020994 0.15190 4.3 1 0 12 10 -0.4545 2.4787 0.24793 5.1246 0.022370 0.15884 5.3 1 0 10 8 -0.4444 2.0343 0.24691 5.3715 0.023561 0.16884 6.0 1 0 9 5 -0.3571 1.6771 0.22959 5.6011 0.024237 0.18119 6.4 1 0 8 3 -0.2727 1.4044 0.19835 5.7995 0.024422 0.19681 6.5 1 0 7 3 -0.3000 1.1044 0.21000 6.0095 0.024446 0.21722 7.4 1 0 6 0 0.0000 1.1044 0.00000 6.0095 0.025563 0.24500 mts mats cmvt 1.19657 1.19657 0.42588 Test of treatment for tumors in rats The LIFETEST Procedure Testing Homogeneity of Survival Curves for time over Strata Rank Statistics litter Log-Rank Wilcoxon 1 0.2563 66.00 2 -1.1413 -116.00 3 -1.2049 -120.00 ... 48 -0.6547 -79.00 49 -0.0284 -44.00 50 0.0556 13.00 Test of Equality over Strata Pr > Test Chi-Square DF Chi-Square Log-Rank 111.5178 49 <.0001 Wilcoxon 109.2231 49 <.0001 -2Log(LR)* 60.7585 49 0.1209 WARNING: -2Log(LR) test is questionable since some strata have no events. Rank Tests for the Association of time with Covariates Pooled over Strata ... Univariate Chi-Squares for the Log-Rank Test Test Standard Pr > Variable Statistic Deviation Chi-Square Chi-Square ttt -6.3333 2.6352 5.7760 0.0162 Larynx Cancer Surv. by Stage The LIFETEST Procedure Testing Homogeneity of Survival Curves for time over Strata Rank Statistics stage Log-Rank Wilcoxon 1 -7.5660 -579.00 2 -3.0117 -223.00 3 2.9155 244.00 4 7.6623 558.00 Covariance Matrix for the Log-Rank Statistics stage 1 2 3 4 1 12.0740 -4.4516 -6.2465 -1.3759 2 -4.4516 7.8730 -2.7599 -0.6614 3 -6.2465 -2.7599 9.9302 -0.9238 4 -1.3759 -0.6614 -0.9238 2.9612 ... Test of Equality over Strata Test Chi-Square DF Pr>Chi-Square Log-Rank 22.7628 3 <.0001 Wilcoxon 23.1770 3 <.0001 -2Log(LR) 16.4601 3 0.0009 Larynx cancer example, stage used as ordered ... Univariate Chi-Squares for the Log-Rank Test Test Standard Pr > Variable Statistic Deviation Chi-Square Chi-Square stage -25.8061 6.9880 13.6377 0.0002