The SAS System |
Product-Limit Survival Estimates | |||||||
---|---|---|---|---|---|---|---|
surv | Survival | Failure | Survival Standard Error |
Number Failed |
Number Left |
patient | |
0.0000 | 1.0000 | 0 | 0 | 0 | 100 | ||
0.4412 | 0.9900 | 0.0100 | 0.00995 | 1 | 99 | 00100 | |
0.7514 | 0.9800 | 0.0200 | 0.0140 | 2 | 98 | 00075 | |
0.7704 | 0.9700 | 0.0300 | 0.0171 | 3 | 97 | 00062 | |
0.9832 | 0.9600 | 0.0400 | 0.0196 | 4 | 96 | 00060 | |
1.3135 | 0.9500 | 0.0500 | 0.0218 | 5 | 95 | 00003 | |
1.3348 | 0.9400 | 0.0600 | 0.0237 | 6 | 94 | 00016 | |
1.5614 | 0.9300 | 0.0700 | 0.0255 | 7 | 93 | 00089 | |
1.5854 | 0.9200 | 0.0800 | 0.0271 | 8 | 92 | 00024 | |
1.7025 | 0.9100 | 0.0900 | 0.0286 | 9 | 91 | 00002 | |
1.7954 | 0.9000 | 0.1000 | 0.0300 | 10 | 90 | 00097 | |
1.8634 | 0.8900 | 0.1100 | 0.0313 | 11 | 89 | 00050 | |
1.9833 | 0.8800 | 0.1200 | 0.0325 | 12 | 88 | 00001 | |
2.0185 | * | . | . | . | 12 | 87 | 00021 |
2.0245 | * | . | . | . | 12 | 86 | 00070 |
2.4600 | 0.8698 | 0.1302 | 0.0337 | 13 | 85 | 00065 | |
2.6666 | 0.8595 | 0.1405 | 0.0348 | 14 | 84 | 00008 | |
2.7869 | 0.8493 | 0.1507 | 0.0359 | 15 | 83 | 00018 | |
3.0051 | 0.8391 | 0.1609 | 0.0369 | 16 | 82 | 00068 | |
3.0665 | 0.8288 | 0.1712 | 0.0378 | 17 | 81 | 00012 | |
3.3976 | * | . | . | . | 17 | 80 | 00028 |
3.4873 | 0.8185 | 0.1815 | 0.0387 | 18 | 79 | 00074 | |
3.5364 | 0.8081 | 0.1919 | 0.0396 | 19 | 78 | 00057 | |
3.7214 | 0.7978 | 0.2022 | 0.0404 | 20 | 77 | 00041 | |
3.7274 | 0.7874 | 0.2126 | 0.0412 | 21 | 76 | 00095 | |
3.7624 | 0.7770 | 0.2230 | 0.0420 | 22 | 75 | 00048 | |
3.7657 | 0.7667 | 0.2333 | 0.0427 | 23 | 74 | 00031 | |
4.0019 | 0.7563 | 0.2437 | 0.0433 | 24 | 73 | 00086 | |
4.1822 | 0.7460 | 0.2540 | 0.0439 | 25 | 72 | 00022 | |
4.3750 | * | . | . | . | 25 | 71 | 00014 |
4.3781 | 0.7354 | 0.2646 | 0.0446 | 26 | 70 | 00037 | |
4.4037 | 0.7249 | 0.2751 | 0.0451 | 27 | 69 | 00036 | |
4.5990 | 0.7144 | 0.2856 | 0.0457 | 28 | 68 | 00059 | |
4.6044 | 0.7039 | 0.2961 | 0.0462 | 29 | 67 | 00046 | |
4.7728 | 0.6934 | 0.3066 | 0.0467 | 30 | 66 | 00043 | |
4.7791 | 0.6829 | 0.3171 | 0.0472 | 31 | 65 | 00039 | |
4.9009 | 0.6724 | 0.3276 | 0.0476 | 32 | 64 | 00010 | |
4.9695 | 0.6619 | 0.3381 | 0.0480 | 33 | 63 | 00064 | |
5.1079 | 0.6514 | 0.3486 | 0.0484 | 34 | 62 | 00090 | |
5.1770 | 0.6409 | 0.3591 | 0.0487 | 35 | 61 | 00092 | |
5.2655 | 0.6304 | 0.3696 | 0.0490 | 36 | 60 | 00079 | |
5.4160 | 0.6199 | 0.3801 | 0.0493 | 37 | 59 | 00033 | |
5.5995 | 0.6094 | 0.3906 | 0.0496 | 38 | 58 | 00017 | |
5.8487 | 0.5989 | 0.4011 | 0.0499 | 39 | 57 | 00015 | |
5.9255 | 0.5884 | 0.4116 | 0.0501 | 40 | 56 | 00011 | |
5.9342 | 0.5779 | 0.4221 | 0.0503 | 41 | 55 | 00032 | |
6.0991 | 0.5673 | 0.4327 | 0.0504 | 42 | 54 | 00009 | |
6.5977 | 0.5568 | 0.4432 | 0.0506 | 43 | 53 | 00094 | |
6.6892 | * | . | . | . | 43 | 52 | 00091 |
6.7228 | 0.5461 | 0.4539 | 0.0507 | 44 | 51 | 00027 | |
6.9660 | 0.5354 | 0.4646 | 0.0509 | 45 | 50 | 00088 | |
7.0935 | * | . | . | . | 45 | 49 | 00049 |
7.1039 | 0.5245 | 0.4755 | 0.0510 | 46 | 48 | 00058 | |
7.6947 | 0.5136 | 0.4864 | 0.0511 | 47 | 47 | 00080 | |
7.9114 | 0.5026 | 0.4974 | 0.0511 | 48 | 46 | 00096 | |
8.1951 | * | . | . | . | 48 | 45 | 00063 |
8.3105 | 0.4915 | 0.5085 | 0.0512 | 49 | 44 | 00085 | |
8.5255 | 0.4803 | 0.5197 | 0.0513 | 50 | 43 | 00066 | |
8.6104 | 0.4691 | 0.5309 | 0.0513 | 51 | 42 | 00087 | |
8.7084 | 0.4580 | 0.5420 | 0.0512 | 52 | 41 | 00081 | |
9.0820 | 0.4468 | 0.5532 | 0.0512 | 53 | 40 | 00099 | |
9.2370 | 0.4356 | 0.5644 | 0.0511 | 54 | 39 | 00006 | |
9.5499 | 0.4245 | 0.5755 | 0.0510 | 55 | 38 | 00047 | |
9.7467 | 0.4133 | 0.5867 | 0.0509 | 56 | 37 | 00026 | |
9.7995 | 0.4021 | 0.5979 | 0.0507 | 57 | 36 | 00029 | |
9.8924 | 0.3909 | 0.6091 | 0.0505 | 58 | 35 | 00013 | |
10.1376 | 0.3798 | 0.6202 | 0.0503 | 59 | 34 | 00025 | |
10.5253 | * | . | . | . | 59 | 33 | 00007 |
10.5685 | * | . | . | . | 59 | 32 | 00056 |
11.0071 | 0.3679 | 0.6321 | 0.0501 | 60 | 31 | 00073 | |
11.8409 | 0.3560 | 0.6440 | 0.0499 | 61 | 30 | 00005 | |
11.9050 | 0.3442 | 0.6558 | 0.0496 | 62 | 29 | 00061 | |
12.1252 | * | . | . | . | 62 | 28 | 00098 |
12.1598 | 0.3319 | 0.6681 | 0.0493 | 63 | 27 | 00076 | |
12.1969 | 0.3196 | 0.6804 | 0.0490 | 64 | 26 | 00045 | |
13.1968 | 0.3073 | 0.6927 | 0.0486 | 65 | 25 | 00004 | |
13.6137 | 0.2950 | 0.7050 | 0.0482 | 66 | 24 | 00082 | |
14.6771 | 0.2827 | 0.7173 | 0.0478 | 67 | 23 | 00083 | |
14.7169 | 0.2704 | 0.7296 | 0.0472 | 68 | 22 | 00030 | |
14.9416 | 0.2581 | 0.7419 | 0.0467 | 69 | 21 | 00055 | |
14.9592 | * | . | . | . | 69 | 20 | 00077 |
15.9226 | 0.2452 | 0.7548 | 0.0461 | 70 | 19 | 00052 | |
16.3577 | 0.2323 | 0.7677 | 0.0454 | 71 | 18 | 00069 | |
16.4265 | 0.2194 | 0.7806 | 0.0447 | 72 | 17 | 00044 | |
16.9271 | * | . | . | . | 72 | 16 | 00042 |
16.9412 | 0.2057 | 0.7943 | 0.0440 | 73 | 15 | 00072 | |
17.4456 | 0.1920 | 0.8080 | 0.0431 | 74 | 14 | 00034 | |
19.0765 | 0.1783 | 0.8217 | 0.0422 | 75 | 13 | 00019 | |
19.1604 | 0.1646 | 0.8354 | 0.0411 | 76 | 12 | 00078 | |
19.3021 | 0.1508 | 0.8492 | 0.0399 | 77 | 11 | 00054 | |
20.7711 | 0.1371 | 0.8629 | 0.0385 | 78 | 10 | 00067 | |
23.7337 | 0.1234 | 0.8766 | 0.0370 | 79 | 9 | 00038 | |
24.5953 | 0.1097 | 0.8903 | 0.0354 | 80 | 8 | 00071 | |
25.2144 | * | . | . | . | 80 | 7 | 00084 |
25.3836 | 0.0940 | 0.9060 | 0.0336 | 81 | 6 | 00053 | |
25.4526 | 0.0784 | 0.9216 | 0.0315 | 82 | 5 | 00040 | |
30.7704 | * | . | . | . | 82 | 4 | 00035 |
31.1472 | 0.0588 | 0.9412 | 0.0291 | 83 | 3 | 00051 | |
31.2280 | 0.0392 | 0.9608 | 0.0251 | 84 | 2 | 00093 | |
35.2429 | 0.0196 | 0.9804 | 0.0187 | 85 | 1 | 00023 | |
36.7155 | 0 | 1.0000 | . | 86 | 0 | 00020 |
Note: | The marked survival times are censored observations. |
Summary Statistics for Time Variable surv |
Quartile Estimates | ||||
---|---|---|---|---|
Percent | Point Estimate |
95% Confidence Interval | ||
Transform | [Lower | Upper) | ||
75 | 15.9226 | LOGLOG | 11.9050 | 19.3021 |
50 | 8.3105 | LOGLOG | 5.8487 | 9.7995 |
25 | 4.1822 | LOGLOG | 3.0665 | 4.9695 |
Mean | Standard Error |
---|---|
10.9893 | 0.9836 |
The SAS System |
Product-Limit Survival Estimates | |||||||
---|---|---|---|---|---|---|---|
surv | Survival | Failure | Survival Standard Error |
Number Failed |
Number Left |
patient | |
0.0000 | 1.0000 | 0 | 0 | 0 | 100 | ||
0.4702 | 0.9900 | 0.0100 | 0.00995 | 1 | 99 | 00019 | |
0.6074 | 0.9800 | 0.0200 | 0.0140 | 2 | 98 | 00002 | |
0.6241 | 0.9700 | 0.0300 | 0.0171 | 3 | 97 | 00006 | |
0.8785 | * | . | . | . | 3 | 96 | 00015 |
1.0904 | 0.9599 | 0.0401 | 0.0196 | 4 | 95 | 00067 | |
1.3001 | * | . | . | . | 4 | 94 | 00065 |
1.3518 | 0.9497 | 0.0503 | 0.0219 | 5 | 93 | 00044 | |
1.4253 | 0.9395 | 0.0605 | 0.0240 | 6 | 92 | 00033 | |
1.4703 | 0.9293 | 0.0707 | 0.0258 | 7 | 91 | 00034 | |
1.6328 | * | . | . | . | 7 | 90 | 00005 |
1.7235 | * | . | . | . | 7 | 89 | 00085 |
1.9915 | 0.9188 | 0.0812 | 0.0275 | 8 | 88 | 00088 | |
2.0968 | * | . | . | . | 8 | 87 | 00045 |
2.7599 | 0.9083 | 0.0917 | 0.0292 | 9 | 86 | 00042 | |
3.1707 | 0.8977 | 0.1023 | 0.0307 | 10 | 85 | 00013 | |
3.3687 | 0.8871 | 0.1129 | 0.0321 | 11 | 84 | 00026 | |
3.9856 | 0.8766 | 0.1234 | 0.0334 | 12 | 83 | 00011 | |
6.0634 | 0.8660 | 0.1340 | 0.0346 | 13 | 82 | 00058 | |
6.2445 | 0.8555 | 0.1445 | 0.0358 | 14 | 81 | 00087 | |
6.3392 | 0.8449 | 0.1551 | 0.0369 | 15 | 80 | 00031 | |
6.7683 | 0.8343 | 0.1657 | 0.0379 | 16 | 79 | 00068 | |
6.7686 | 0.8238 | 0.1762 | 0.0388 | 17 | 78 | 00064 | |
6.8094 | 0.8132 | 0.1868 | 0.0398 | 18 | 77 | 00076 | |
7.1657 | 0.8026 | 0.1974 | 0.0406 | 19 | 76 | 00092 | |
7.4233 | 0.7921 | 0.2079 | 0.0414 | 20 | 75 | 00018 | |
7.4725 | 0.7815 | 0.2185 | 0.0422 | 21 | 74 | 00021 | |
7.7272 | 0.7710 | 0.2290 | 0.0429 | 22 | 73 | 00039 | |
8.1583 | 0.7604 | 0.2396 | 0.0436 | 23 | 72 | 00052 | |
8.5171 | 0.7498 | 0.2502 | 0.0443 | 24 | 71 | 00096 | |
9.0976 | 0.7393 | 0.2607 | 0.0449 | 25 | 70 | 00027 | |
9.7273 | 0.7287 | 0.2713 | 0.0455 | 26 | 69 | 00072 | |
10.5403 | 0.7182 | 0.2818 | 0.0460 | 27 | 68 | 00028 | |
10.5642 | * | . | . | . | 27 | 67 | 00035 |
10.8057 | 0.7074 | 0.2926 | 0.0466 | 28 | 66 | 00029 | |
11.0328 | 0.6967 | 0.3033 | 0.0471 | 29 | 65 | 00089 | |
11.0734 | 0.6860 | 0.3140 | 0.0476 | 30 | 64 | 00057 | |
11.2712 | 0.6753 | 0.3247 | 0.0480 | 31 | 63 | 00082 | |
11.2851 | 0.6646 | 0.3354 | 0.0484 | 32 | 62 | 00046 | |
11.5309 | 0.6538 | 0.3462 | 0.0488 | 33 | 61 | 00079 | |
11.6481 | 0.6431 | 0.3569 | 0.0492 | 34 | 60 | 00023 | |
12.2137 | 0.6324 | 0.3676 | 0.0495 | 35 | 59 | 00007 | |
12.6338 | 0.6217 | 0.3783 | 0.0498 | 36 | 58 | 00008 | |
12.8551 | 0.6110 | 0.3890 | 0.0501 | 37 | 57 | 00086 | |
12.9302 | 0.6003 | 0.3997 | 0.0504 | 38 | 56 | 00012 | |
12.9871 | 0.5895 | 0.4105 | 0.0506 | 39 | 55 | 00061 | |
13.4153 | 0.5788 | 0.4212 | 0.0508 | 40 | 54 | 00049 | |
13.6005 | 0.5681 | 0.4319 | 0.0510 | 41 | 53 | 00032 | |
14.8556 | * | . | . | . | 41 | 52 | 00025 |
14.9973 | 0.5572 | 0.4428 | 0.0512 | 42 | 51 | 00038 | |
15.8158 | * | . | . | . | 42 | 50 | 00055 |
16.1490 | 0.5460 | 0.4540 | 0.0513 | 43 | 49 | 00066 | |
16.4281 | 0.5349 | 0.4651 | 0.0515 | 44 | 48 | 00059 | |
16.4555 | 0.5237 | 0.4763 | 0.0516 | 45 | 47 | 00084 | |
16.7309 | * | . | . | . | 45 | 46 | 00050 |
16.9851 | * | . | . | . | 45 | 45 | 00100 |
17.2848 | 0.5121 | 0.4879 | 0.0517 | 46 | 44 | 00097 | |
17.3163 | 0.5005 | 0.4995 | 0.0519 | 47 | 43 | 00073 | |
17.6976 | 0.4888 | 0.5112 | 0.0519 | 48 | 42 | 00022 | |
18.0863 | 0.4772 | 0.5228 | 0.0520 | 49 | 41 | 00053 | |
18.3346 | 0.4655 | 0.5345 | 0.0520 | 50 | 40 | 00003 | |
18.7788 | 0.4539 | 0.5461 | 0.0520 | 51 | 39 | 00037 | |
19.5095 | * | . | . | . | 51 | 38 | 00030 |
20.5169 | * | . | . | . | 51 | 37 | 00075 |
21.3792 | 0.4416 | 0.5584 | 0.0520 | 52 | 36 | 00062 | |
22.0931 | 0.4294 | 0.5706 | 0.0520 | 53 | 35 | 00091 | |
22.4664 | 0.4171 | 0.5829 | 0.0519 | 54 | 34 | 00081 | |
24.1603 | 0.4048 | 0.5952 | 0.0518 | 55 | 33 | 00043 | |
24.2655 | 0.3926 | 0.6074 | 0.0517 | 56 | 32 | 00036 | |
24.2674 | 0.3803 | 0.6197 | 0.0515 | 57 | 31 | 00016 | |
24.9497 | 0.3680 | 0.6320 | 0.0513 | 58 | 30 | 00024 | |
25.9941 | 0.3558 | 0.6442 | 0.0510 | 59 | 29 | 00017 | |
26.1270 | 0.3435 | 0.6565 | 0.0507 | 60 | 28 | 00099 | |
26.1394 | * | . | . | . | 60 | 27 | 00095 |
26.1786 | * | . | . | . | 60 | 26 | 00080 |
26.2679 | 0.3303 | 0.6697 | 0.0505 | 61 | 25 | 00071 | |
26.9878 | 0.3171 | 0.6829 | 0.0502 | 62 | 24 | 00004 | |
29.6995 | * | . | . | . | 62 | 23 | 00020 |
32.2335 | 0.3033 | 0.6967 | 0.0498 | 63 | 22 | 00056 | |
33.2304 | 0.2895 | 0.7105 | 0.0494 | 64 | 21 | 00077 | |
33.4323 | * | . | . | . | 64 | 20 | 00090 |
33.7520 | 0.2750 | 0.7250 | 0.0490 | 65 | 19 | 00001 | |
34.2221 | 0.2606 | 0.7394 | 0.0485 | 66 | 18 | 00094 | |
34.7334 | 0.2461 | 0.7539 | 0.0480 | 67 | 17 | 00051 | |
34.8397 | * | . | . | . | 67 | 16 | 00070 |
35.6653 | * | . | . | . | 67 | 15 | 00040 |
35.8521 | 0.2297 | 0.7703 | 0.0475 | 68 | 14 | 00041 | |
38.2154 | 0.2133 | 0.7867 | 0.0468 | 69 | 13 | 00078 | |
39.9626 | 0.1969 | 0.8031 | 0.0460 | 70 | 12 | 00048 | |
41.6612 | 0.1805 | 0.8195 | 0.0450 | 71 | 11 | 00054 | |
42.1464 | 0.1641 | 0.8359 | 0.0438 | 72 | 10 | 00093 | |
45.4076 | 0.1476 | 0.8524 | 0.0424 | 73 | 9 | 00069 | |
52.6949 | 0.1312 | 0.8688 | 0.0407 | 74 | 8 | 00074 | |
54.0062 | 0.1148 | 0.8852 | 0.0388 | 75 | 7 | 00014 | |
54.1911 | * | . | . | . | 75 | 6 | 00010 |
59.9972 | 0.0957 | 0.9043 | 0.0368 | 76 | 5 | 00009 | |
60.0972 | 0.0766 | 0.9234 | 0.0340 | 77 | 4 | 00047 | |
60.1694 | * | . | . | . | 77 | 3 | 00060 |
63.1206 | 0.0510 | 0.9490 | 0.0308 | 78 | 2 | 00083 | |
65.4151 | 0.0255 | 0.9745 | 0.0237 | 79 | 1 | 00098 | |
75.6970 | 0 | 1.0000 | . | 80 | 0 | 00063 |
Note: | The marked survival times are censored observations. |
Summary Statistics for Time Variable surv |
Quartile Estimates | ||||
---|---|---|---|---|
Percent | Point Estimate |
95% Confidence Interval | ||
Transform | [Lower | Upper) | ||
75 | 34.7334 | LOGLOG | 26.1270 | 45.4076 |
50 | 17.6976 | LOGLOG | 12.9302 | 24.2655 |
25 | 8.5171 | LOGLOG | 6.7683 | 11.2851 |
Mean | Standard Error |
---|---|
24.2113 | 2.1681 |
Summary of the Number of Censored and Uncensored Values | |||||
---|---|---|---|---|---|
Stratum | trt | Total | Failed | Censored | Percent Censored |
1 | Placebo | 100 | 86 | 14 | 14.00 |
2 | Study Drug | 100 | 80 | 20 | 20.00 |
Total | 200 | 166 | 34 | 17.00 |
The SAS System |
Testing Homogeneity of Survival Curves for surv over Strata |
Rank Statistics | ||
---|---|---|
trt | Log-Rank | Wilcoxon |
Placebo | 31.879 | 3582.0 |
Study Drug | -31.879 | -3582.0 |
Covariance Matrix for the Log-Rank Statistics |
||
---|---|---|
trt | Placebo | Study Drug |
Placebo | 32.9617 | -32.9617 |
Study Drug | -32.9617 | 32.9617 |
Covariance Matrix for the Wilcoxon Statistics |
||
---|---|---|
trt | Placebo | Study Drug |
Placebo | 547706 | -547706 |
Study Drug | -547706 | 547706 |
Test of Equality over Strata | |||
---|---|---|---|
Test | Chi-Square | DF | Pr > Chi-Square |
Log-Rank | 30.8327 | 1 | <.0001 |
Wilcoxon | 23.4263 | 1 | <.0001 |
-2Log(LR) | 26.0445 | 1 | <.0001 |